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%%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software
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%%Title: quickref.dvi
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b(NRHS,)15 b(AP,)172 b(B,)14 b(LDB,)186 b(INFO)14 b(\))801
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618 y Fd(P)o(ositiv)o(e)f(De\014nite)c(\(P)o(ac)o(k)o(ed)i(Storage\))50
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b Fc(CPPSV\()14 b(UPLO,)h(N,)119 b(NRHS,)15 b(AP,)172
d63ebf
b(B,)14 b(LDB,)186 b(INFO)14 b(\))801 677 y Fd(Symmetric/Hermitian)215
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b Fc(SPBSV\()14 b(UPLO,)h(N,)e(KD,)67 b(NRHS,)15 b(AB,)f(LDAB,)93
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b(B,)14 b(LDB,)186 b(INFO)14 b(\))801 706 y Fd(P)o(ositiv)o(e)f
d63ebf
(De\014nite)c(Band)208 b Fc(CPBSV\()14 b(UPLO,)h(N,)e(KD,)67
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b(NRHS,)15 b(AB,)f(LDAB,)93 b(B,)14 b(LDB,)186 b(INFO)14
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b(\))801 764 y Fd(Symmetric/Hermitian)215 b Fc(SPTSV\()94
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b(N,)119 b(NRHS,)15 b(D,)e(E,)146 b(B,)14 b(LDB,)186
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b(INFO)14 b(\))801 793 y Fd(P)o(ositiv)o(e)f(De\014nite)c(T)n
d63ebf
(ridiagonal)128 b Fc(CPTSV\()94 b(N,)119 b(NRHS,)15 b(D,)e(E,)146
d63ebf
b(B,)14 b(LDB,)186 b(INFO)14 b(\))801 851 y Fd(Symmetric/Hermitian)215
d63ebf
b Fc(SSYSV\()14 b(UPLO,)h(N,)119 b(NRHS,)15 b(A,)e(LDA,)41
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b(IPIV,)14 b(B,)g(LDB,)g(WORK,)h(LWORK,)f(INFO)g(\))801
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880 y Fd(Inde\014nite)381 b Fc(CSYSV\()14 b(UPLO,)h(N,)119
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b(NRHS,)15 b(A,)e(LDA,)41 b(IPIV,)14 b(B,)g(LDB,)g(WORK,)h(LWORK,)f
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(INFO)g(\))1310 909 y(CHESV\()g(UPLO,)h(N,)119 b(NRHS,)15
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b(A,)e(LDA,)41 b(IPIV,)14 b(B,)g(LDB,)g(WORK,)h(LWORK,)f(INFO)g(\))801
d63ebf
967 y Fd(Symmetric/Hermitian)215 b Fc(SSPSV\()14 b(UPLO,)h(N,)119
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b(NRHS,)15 b(AP,)93 b(IPIV,)14 b(B,)g(LDB,)186 b(INFO)14
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b(\))801 996 y Fd(Inde\014nite)9 b(\(P)o(ac)o(k)o(ed)i(Storage\))144
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b Fc(CSPSV\()14 b(UPLO,)h(N,)119 b(NRHS,)15 b(AP,)93
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b(IPIV,)14 b(B,)g(LDB,)186 b(INFO)14 b(\))1310 1025 y(CHPSV\()g(UPLO,)h
d63ebf
(N,)119 b(NRHS,)15 b(AP,)93 b(IPIV,)14 b(B,)g(LDB,)186
d63ebf
b(INFO)14 b(\))801 1115 y Fe(Simple)e(Driv)o(er)h(Routines)h(for)g
d63ebf
(Standard)d(and)i(Generalized)e(Linear)j(Least)f(Squares)f(Problems)801
d63ebf
1188 y Fd(Problem)e(T)o(yp)q(e)318 b(Routine)p 776 1199
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V 801 1219 a(Solv)o(e)11 b(Using)h(Orthogonal)g(F)n(actor,)87
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b Fc(SGELS\()14 b(TRANS,)h(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)173
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b(WORK,)15 b(LWORK,)f(INFO)g(\))801 1248 y Fd(Assuming)d(F)n(ull)f
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(Rank)238 b Fc(CGELS\()14 b(TRANS,)h(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e
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(LDB,)173 b(WORK,)15 b(LWORK,)f(INFO)g(\))801 1306 y
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Fd(Solv)o(e)d(LSE)f(Problem)g(Using)i(GR)o(Q)88 b Fc(SGGLSE\()94
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b(M,)14 b(N,)f(P,)54 b(A,)13 b(LDA,)i(B,)e(LDB,)h(C,)g(D,)g(X,)53
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b(WORK,)15 b(LWORK,)f(INFO)g(\))1310 1335 y(CGGLSE\()94
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b(M,)14 b(N,)f(P,)54 b(A,)13 b(LDA,)i(B,)e(LDB,)h(C,)g(D,)g(X,)53
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b(WORK,)15 b(LWORK,)f(INFO)g(\))801 1393 y Fd(Solv)o(e)d(GLM)g(Problem)
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f(Using)i(GQR)73 b Fc(SGGGLM\()94 b(N,)14 b(M,)f(P,)54
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b(A,)13 b(LDA,)i(B,)e(LDB,)h(D,)g(X,)g(Y,)53 b(WORK,)15
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b(LWORK,)f(INFO)g(\))1310 1422 y(CGGGLM\()94 b(N,)14
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b(M,)f(P,)54 b(A,)13 b(LDA,)i(B,)e(LDB,)h(D,)g(X,)g(Y,)53
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b(WORK,)15 b(LWORK,)f(INFO)g(\))p eop
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%%Page: 2 2
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2 1 bop -25 -123 a Fe(Simple)12 b(and)h(Divide)h(and)e(Conquer)i(Driv)o
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(er)f(Routines)h(for)g(Standard)d(Eigen)o(v)n(alue)h(and)h(Singular)g
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(V)m(alue)f(Problems)-205 -58 y Fd(Matrix/Problem)g(T)o(yp)q(e)125
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b(Routine)p -229 -47 2259 2 v -205 -27 a(Symmetric/Hermitian)k
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Fc(SSYEV\()28 b(JOBZ,)14 b(UPLO,)134 b(N,)66 b(A,)14
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b(LDA,)94 b(W,)344 b(WORK,)14 b(LWORK,)505 b(INFO)14
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b(\))-205 2 y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHEEV\()28
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b(JOBZ,)14 b(UPLO,)134 b(N,)66 b(A,)14 b(LDA,)94 b(W,)344
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b(WORK,)14 b(LWORK,)h(RWORK,)412 b(INFO)14 b(\))-205
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31 y Fd(Divide)e(and)e(Conquer)153 b Fc(SSYEVD\()15 b(JOBZ,)f(UPLO,)134
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b(N,)66 b(A,)14 b(LDA,)94 b(W,)344 b(WORK,)14 b(LWORK,)214
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b(IWORK,)14 b(LIWORK,)108 b(INFO)14 b(\))218 60 y(CHEEVD\()h(JOBZ,)f
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(UPLO,)134 b(N,)66 b(A,)14 b(LDA,)94 b(W,)344 b(WORK,)14
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b(LWORK,)h(RWORK,)g(LRWORK,)g(IWORK,)f(LIWORK,)108 b(INFO)14
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b(\))-205 118 y Fd(Symmetric/Hermitian)129 b Fc(SSPEV\()28
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b(JOBZ,)14 b(UPLO,)134 b(N,)66 b(AP,)147 b(W,)79 b(Z,)14
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b(LDZ,)173 b(WORK,)597 b(INFO)14 b(\))-205 147 y Fd(\(P)o(ac)o(k)o(ed)d
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(Storage\))195 b Fc(CHPEV\()28 b(JOBZ,)14 b(UPLO,)134
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b(N,)66 b(AP,)147 b(W,)79 b(Z,)14 b(LDZ,)173 b(WORK,)107
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b(RWORK,)412 b(INFO)14 b(\))-205 176 y Fd(Eigen)o(v)n(alues/v)o(ectors)
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-205 205 y(Divide)e(and)e(Conquer)153 b Fc(SSPEVD\()15
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b(JOBZ,)f(UPLO,)134 b(N,)66 b(AP,)147 b(W,)79 b(Z,)14
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b(LDZ,)173 b(WORK,)14 b(LWORK,)214 b(IWORK,)14 b(LIWORK,)108
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b(INFO)14 b(\))218 235 y(CHPEVD\()h(JOBZ,)f(UPLO,)134
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b(N,)66 b(AP,)147 b(W,)79 b(Z,)14 b(LDZ,)173 b(WORK,)14
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b(LWORK,)h(RWORK,)g(LRWORK,)g(IWORK,)f(LIWORK,)108 b(INFO)14
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b(\))-205 293 y Fd(Symmetric/Hermitian)9 b(Band)50 b
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Fc(SSBEV\()28 b(JOBZ,)14 b(UPLO,)134 b(N,)13 b(KD,)h(AB,)g(LDAB,)68
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b(W,)79 b(Z,)14 b(LDZ,)173 b(WORK,)597 b(INFO)14 b(\))-205
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322 y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHBEV\()28
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b(JOBZ,)14 b(UPLO,)134 b(N,)13 b(KD,)h(AB,)g(LDAB,)68
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b(W,)79 b(Z,)14 b(LDZ,)173 b(WORK,)107 b(RWORK,)412 b(INFO)14
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b(\))-205 351 y Fd(Divide)e(and)e(Conquer)153 b Fc(SSBEVD\()15
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b(JOBZ,)f(UPLO,)134 b(N,)13 b(KD,)h(AB,)g(LDAB,)68 b(W,)79
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b(Z,)14 b(LDZ,)173 b(WORK,)14 b(LWORK,)214 b(IWORK,)14
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b(LIWORK,)108 b(INFO)14 b(\))218 380 y(CHBEVD\()h(JOBZ,)f(UPLO,)134
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b(N,)13 b(KD,)h(AB,)g(LDAB,)68 b(W,)79 b(Z,)14 b(LDZ,)173
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b(WORK,)14 b(LWORK,)h(RWORK,)g(LRWORK,)g(IWORK,)f(LIWORK,)108
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b(INFO)14 b(\))-205 438 y Fd(Symmetric)8 b(T)n(ridiagonal)120
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b Fc(SSTEV\()28 b(JOBZ,)213 b(N,)66 b(D,)14 b(E,)225
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b(Z,)14 b(LDZ,)173 b(WORK,)597 b(INFO)14 b(\))-205 467
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y Fd(Eigen)o(v)n(alues/v)o(ectors)-205 496 y(Divide)e(and)e(Conquer)153
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b Fc(SSTEVD\()15 b(JOBZ,)213 b(N,)66 b(D,)14 b(E,)225
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b(Z,)14 b(LDZ,)173 b(WORK,)14 b(LWORK,)214 b(IWORK,)14
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b(LIWORK,)108 b(INFO)14 b(\))-205 554 y Fd(General)320
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b Fc(SGEES\()15 b(JOBVS,)f(SORT,)h(SELECT,)28 b(N,)66
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b(A,)14 b(LDA,)g(SDIM,)h(WR,)e(WI,)h(VS,)g(LDVS,)147
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b(WORK,)14 b(LWORK,)412 b(BWORK,)15 b(INFO)f(\))-205
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583 y Fd(Sc)o(h)o(ur)c(F)n(actorization)163 b Fc(CGEES\()15
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b(JOBVS,)f(SORT,)h(SELECT,)28 b(N,)66 b(A,)14 b(LDA,)g(SDIM,)h(W,)79
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b(VS,)14 b(LDVS,)147 b(WORK,)14 b(LWORK,)h(RWORK,)319
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b(BWORK,)15 b(INFO)f(\))-205 641 y Fd(General)320 b Fc(SGEEV\()15
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b(JOBVL,)f(JOBVR,)121 b(N,)66 b(A,)14 b(LDA,)94 b(WR,)13
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b(WI,)h(VL,)g(LDVL,)h(VR,)f(LDVR,)g(WORK,)g(LWORK,)505
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b(INFO)14 b(\))-205 670 y Fd(Eigen)o(v)n(alues/v)o(ectors)161
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b Fc(CGEEV\()15 b(JOBVL,)f(JOBVR,)121 b(N,)66 b(A,)14
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b(LDA,)94 b(W,)79 b(VL,)14 b(LDVL,)h(VR,)f(LDVR,)g(WORK,)g(LWORK,)h
d63ebf
(RWORK,)412 b(INFO)14 b(\))-205 728 y Fd(General)320
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b Fc(SGESVD\()15 b(JOBU,)f(JOBVT,)81 b(M,)14 b(N,)66
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b(A,)14 b(LDA,)94 b(S,)f(U,)27 b(LDU,)14 b(VT,)g(LDVT,)g(WORK,)g
d63ebf
(LWORK,)505 b(INFO)14 b(\))-205 758 y Fd(Singular)e(V)n(alues/V)n
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(ectors)102 b Fc(CGESVD\()15 b(JOBU,)f(JOBVT,)81 b(M,)14
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b(N,)66 b(A,)14 b(LDA,)94 b(S,)f(U,)27 b(LDU,)14 b(VT,)g(LDVT,)g(WORK,)
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g(LWORK,)h(RWORK,)412 b(INFO)14 b(\))-205 787 y Fd(Divide)e(and)e
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(Conquer)153 b Fc(SGESDD\()15 b(JOBZ,)173 b(M,)14 b(N,)66
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b(A,)14 b(LDA,)94 b(S,)f(U,)27 b(LDU,)14 b(VT,)g(LDVT,)g(WORK,)g
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(LWORK,)214 b(IWORK,)f(INFO)14 b(\))218 816 y(CGESDD\()h(JOBZ,)173
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b(M,)14 b(N,)66 b(A,)14 b(LDA,)94 b(S,)f(U,)27 b(LDU,)14
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b(VT,)g(LDVT,)g(WORK,)g(LWORK,)h(RWORK,)121 b(IWORK,)213
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b(INFO)14 b(\))84 926 y Fe(Simple)e(and)h(Divide)h(and)e(Conquer)i
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(Driv)o(er)f(Routines)h(for)g(Generalized)e(Eigen)o(v)n(alue)g(and)h
d63ebf
(Singular)g(V)m(alue)f(Problems)-205 991 y Fd(Matrix/Problem)g(T)o(yp)q
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(e)73 b(Routine)p -229 1002 2525 2 v -205 1022 a(Symmetric-de\014nite)
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116 b Fc(SSYGV\()28 b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14
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b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)411
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b(INFO)15 b(\))-205 1051 y Fd(Eigen)o(v)n(alues/v)o(ectors)109
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b Fc(CHEGV\()28 b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14
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b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)h(RWORK,)318
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b(INFO)15 b(\))-205 1080 y Fd(Divide)d(and)e(Conquer)101
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b Fc(SSYGVD\()15 b(ITYPE,)g(JOBZ,)f(UPLO,)160 b(N,)14
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b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)213
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b(IWORK,)15 b(LIWORK,)f(INFO)h(\))166 1109 y(CHEGVD\()g(ITYPE,)g(JOBZ,)
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f(UPLO,)160 b(N,)14 b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583
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b(WORK,)14 b(LWORK,)h(RWORK,)f(LRWORK,)h(IWORK,)g(LIWORK,)f(INFO)h(\))
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-205 1167 y Fd(Symmetric-de\014nite)116 b Fc(SSPGV\()28
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b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14 b(AP,)67 b(BP,)146
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b(W,)265 b(Z,)14 b(LDZ,)226 b(WORK,)503 b(INFO)15 b(\))-205
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1196 y Fd(\(P)o(ac)o(k)o(ed)c(Storage\))143 b Fc(CHPGV\()28
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b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14 b(AP,)67 b(BP,)146
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b(W,)265 b(Z,)14 b(LDZ,)226 b(WORK,)107 b(RWORK,)318
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b(INFO)15 b(\))-205 1225 y Fd(Eigen)o(v)n(alues/v)o(ectors)-205
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1254 y(Divide)d(and)e(Conquer)101 b Fc(SSPGVD\()15 b(ITYPE,)g(JOBZ,)f
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(UPLO,)160 b(N,)14 b(AP,)67 b(BP,)146 b(W,)265 b(Z,)14
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b(LDZ,)226 b(WORK,)14 b(LWORK,)213 b(IWORK,)15 b(LIWORK,)f(INFO)h(\))
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166 1283 y(CHPGVD\()g(ITYPE,)g(JOBZ,)f(UPLO,)160 b(N,)14
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b(AP,)67 b(BP,)146 b(W,)265 b(Z,)14 b(LDZ,)226 b(WORK,)14
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b(LWORK,)h(RWORK,)f(LRWORK,)h(IWORK,)g(LIWORK,)f(INFO)h(\))-205
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1342 y Fd(Symmetric-de\014nite)116 b Fc(SSBGV\()121 b(JOBZ,)14
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b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27
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b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)503 b(INFO)15 b(\))-205
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1371 y Fd(\(Band)c(Storage\))166 b Fc(CHBGV\()121 b(JOBZ,)14
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b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27
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b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)107 b(RWORK,)318
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b(INFO)15 b(\))-205 1400 y Fd(Eigen)o(v)n(alues/v)o(ectors)-205
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1429 y(Divide)d(and)e(Conquer)101 b Fc(SSBGVD\()108 b(JOBZ,)14
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b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27
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b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)14 b(LWORK,)213 b(IWORK,)15
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b(LIWORK,)f(INFO)h(\))166 1458 y(CHBGVD\()108 b(JOBZ,)14
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b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27
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b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)14 b(LWORK,)h(RWORK,)f(LRWORK,)h
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(IWORK,)g(LIWORK,)f(INFO)h(\))-205 1516 y Fd(General)268
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b Fc(SGGES\()15 b(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h(N,)f(A,)f(LDA,)
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28 b(B,)13 b(LDB,)h(SDIM,)h(ALPHAR,)g(ALPHAI,)g(BETA,)f(VSL,)g(LDVSL,)h
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(VSR,)f(LDVSR,)h(WORK,)f(LWORK,)213 b(BWORK,)120 b(INFO)15
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b(\))-205 1545 y Fd(Sc)o(h)o(ur)10 b(F)n(actorization)111
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b Fc(CGGES\()15 b(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h(N,)f(A,)f(LDA,)
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28 b(B,)13 b(LDB,)h(SDIM,)h(ALPHA,)134 b(BETA,)14 b(VSL,)g(LDVSL,)h
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(VSR,)f(LDVSR,)h(WORK,)f(LWORK,)h(RWORK,)120 b(BWORK,)g(INFO)15
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b(\))-205 1603 y Fd(General)268 b Fc(SGGEV\()28 b(JOBVL,)g(JOBVR,)200
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b(N,)14 b(A,)f(LDA,)28 b(B,)13 b(LDB,)81 b(ALPHAR,)14
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b(ALPHAI,)h(BETA,)g(VL,)f(LDVL,)g(VR,)g(LDVR,)81 b(WORK,)14
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b(LWORK,)411 b(INFO)15 b(\))-205 1632 y Fd(Eigen)o(v)n(alues/v)o
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(ectors)109 b Fc(CGGEV\()28 b(JOBVL,)g(JOBVR,)200 b(N,)14
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b(A,)f(LDA,)28 b(B,)13 b(LDB,)81 b(ALPHA,)133 b(BETA,)15
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b(VL,)f(LDVL,)g(VR,)g(LDVR,)81 b(WORK,)14 b(LWORK,)h(RWORK,)318
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b(INFO)15 b(\))-205 1690 y Fd(General)268 b Fc(SGGSVD\()15
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b(JOBU,)f(JOBV,)h(JOBQ,)f(M,)g(N,)g(P,)f(K,)h(L,)g(A,)f(LDA,)i(B,)e
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(LDB,)81 b(ALPHA,)133 b(BETA,)15 b(U,)e(LDU,)i(V,)e(LDV,)h(Q,)g(LDQ,)28
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b(WORK,)305 b(IWORK,)120 b(INFO)15 b(\))-205 1719 y Fd(Singular)d(V)n
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(alues/V)n(ectors)50 b Fc(CGGSVD\()15 b(JOBU,)f(JOBV,)h(JOBQ,)f(M,)g
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(N,)g(P,)f(K,)h(L,)g(A,)f(LDA,)i(B,)e(LDB,)81 b(ALPHA,)133
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b(BETA,)15 b(U,)e(LDU,)i(V,)e(LDV,)h(Q,)g(LDQ,)28 b(WORK,)107
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b(RWORK,)120 b(IWORK,)g(INFO)15 b(\))p eop
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%%Page: 3 3
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3 2 bop -229 -101 a Ff(Exp)r(ert)23 b(Driv)n(ers)581
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-32 y Fe(Exp)q(ert)13 b(Driv)o(er)g(Routines)g(for)i(Linear)e
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(Equations)-205 56 y Fd(Matrix)f(T)o(yp)q(e)338 b(Routine)p
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-229 67 2425 2 v -205 87 a(General)406 b Fc(SGESVX\()15
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b(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14 b(A,)g(LDA,)53 b(AF,)14
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b(LDAF,)41 b(IPIV,)15 b(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))304
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116 y(CGESVX\()g(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14 b(A,)g(LDA,)53
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b(AF,)14 b(LDAF,)41 b(IPIV,)15 b(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e
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(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14
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b(INFO)h(\))-205 174 y Fd(General)c(Band)325 b Fc(SGBSVX\()15
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b(FACT,)f(TRANS,)h(N,)f(KL,)g(KU,)g(NRHS,)g(AB,)g(LDAB,)27
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b(AFB,)15 b(LDAFB,)f(IPIV,)h(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))304
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203 y(CGBSVX\()g(FACT,)f(TRANS,)h(N,)f(KL,)g(KU,)g(NRHS,)g(AB,)g(LDAB,)
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27 b(AFB,)15 b(LDAFB,)f(IPIV,)h(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e
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(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14
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b(INFO)h(\))-205 261 y Fd(General)c(T)n(ridiagonal)245
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b Fc(SGTSVX\()15 b(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14
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b(DL,)g(D,)g(DU,)f(DLF,)i(DF,)f(DUF,)g(DU2,)g(IPIV,)94
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
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b(IWORK,)14 b(INFO)h(\))304 290 y(CGTSVX\()g(FACT,)f(TRANS,)h(N,)120
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b(NRHS,)14 b(DL,)g(D,)g(DU,)f(DLF,)i(DF,)f(DUF,)g(DU2,)g(IPIV,)94
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
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b(RWORK,)14 b(INFO)h(\))-205 348 y Fd(Symmetric/Hermitian)215
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b Fc(SPOSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)121 b(EQUED,)14 b(S,)54
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
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b(IWORK,)14 b(INFO)h(\))-205 378 y Fd(P)o(ositiv)o(e)e(De\014nite)287
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b Fc(CPOSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)121 b(EQUED,)14 b(S,)54
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
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b(RWORK,)14 b(INFO)h(\))-205 436 y Fd(Symmetric/Hermitian)215
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b Fc(SPPSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(AP,)106 b(AFP,)187 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))-205
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465 y Fd(P)o(ositiv)o(e)e(De\014nite)d(\(P)o(ac)o(k)o(ed)g(Storage\))50
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b Fc(CPPSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(AP,)106 b(AFP,)187 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205
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523 y Fd(Symmetric/Hermitian)215 b Fc(SPBSVX\()15 b(FACT,)f(UPLO,)28
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b(N,)14 b(KD,)67 b(NRHS,)14 b(AB,)g(LDAB,)27 b(AFB,)15
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b(LDAFB,)94 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h
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(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))-205
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552 y Fd(P)o(ositiv)o(e)e(De\014nite)d(Band)207 b Fc(CPBSVX\()15
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b(FACT,)f(UPLO,)28 b(N,)14 b(KD,)67 b(NRHS,)14 b(AB,)g(LDAB,)27
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b(AFB,)15 b(LDAFB,)94 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205
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610 y Fd(Symmetric/Hermitian)215 b Fc(SPTSVX\()15 b(FACT,)107
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b(N,)120 b(NRHS,)14 b(D,)g(E,)79 b(DF,)14 b(EF,)319 b(B,)13
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b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)199
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b(INFO)15 b(\))-205 639 y Fd(P)o(ositiv)o(e)e(De\014nite)d(T)n
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(ridiagonal)127 b Fc(CPTSVX\()15 b(FACT,)107 b(N,)120
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b(NRHS,)14 b(D,)g(E,)79 b(DF,)14 b(EF,)319 b(B,)13 b(LDB,)i(X,)e(LDX,)h
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(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205
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697 y Fd(Symmetric/Hermitian)215 b Fc(SSYSVX\()15 b(FACT,)f(UPLO,)28
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b(N,)120 b(NRHS,)14 b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h
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(IWORK,)f(INFO)h(\))-205 726 y Fd(Inde\014nite)381 b
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Fc(CSYSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213 b(B,)13 b(LDB,)i(X,)e(LDX,)
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h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h(RWORK,)f(INFO)h(\))304
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755 y(CHESVX\()g(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14
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b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213 b(B,)13 b(LDB,)i(X,)e(LDX,)
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h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h(RWORK,)f(INFO)h(\))-205
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813 y Fd(Symmetric/Hermitian)215 b Fc(SSPSVX\()15 b(FACT,)f(UPLO,)28
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b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15 b(IPIV,)279 b(B,)13
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b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
d63ebf
b(IWORK,)14 b(INFO)h(\))-205 842 y Fd(Inde\014nite)10
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b(\(P)o(ac)o(k)o(ed)g(Storage\))144 b Fc(CSPSVX\()15
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b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15
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b(IPIV,)279 b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h
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(WORK,)107 b(RWORK,)14 b(INFO)h(\))304 871 y(CHPSVX\()g(FACT,)f(UPLO,)
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28 b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15 b(IPIV,)279
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b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107
d63ebf
b(RWORK,)14 b(INFO)h(\))-145 1026 y Fe(Divide)f(and)f(Conquer)g(and)g
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(Exp)q(ert)f(Driv)o(er)i(Routines)f(for)h(Linear)g(Least)f(Squares)f
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(Problems)-205 1115 y Fd(Problem)e(T)o(yp)q(e)271 b(Routine)p
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-229 1125 1676 2 v -205 1145 a(Solv)o(e)11 b(Using)h(Orthogonal)g(F)n
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(actor)49 b Fc(SGELSY\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)h
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(JPVT,)h(RCOND,)f(RANK,)h(WORK,)f(LWORK,)200 b(INFO)14
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b(\))257 1174 y(CGELSY\()h(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)h
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(JPVT,)h(RCOND,)f(RANK,)h(WORK,)f(LWORK,)h(RWORK,)107
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b(INFO)14 b(\))-205 1232 y Fd(Solv)o(e)d(Using)h(SVD,)225
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b Fc(SGELSS\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54
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b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)200 b(INFO)14
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b(\))-205 1262 y Fd(Allo)o(wing)g(for)c(Rank-De\014ciency)69
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b Fc(CGELSS\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54
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b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)h(RWORK,)107
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b(INFO)14 b(\))-205 1320 y Fd(Solv)o(e)d(Using)h(D&C)e(SVD,)147
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b Fc(SGELSD\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54
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b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)107 b(IWORK,)15
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b(INFO)f(\))-205 1349 y Fd(Allo)o(wing)g(for)c(Rank-De\014ciency)69
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b Fc(CGELSD\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54
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b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)h(RWORK,)f(IWORK,)h(INFO)f
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(\))p eop
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%%Page: 4 4
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4 3 bop 150 -123 a Fe(Exp)q(ert)12 b(and)h(RRR)i(Driv)o(er)e(Routines)h
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(for)g(Standard)d(and)h(Generalized)g(Symmetric)f(Eigen)o(v)n(alue)i
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(Problems)-205 -35 y Fd(Matrix/Problem)f(T)o(yp)q(e)125
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b(Routine)p -229 -25 2497 2 v -205 -5 a(Symmetric/Hermitian)k
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Fc(SSYEVX\()15 b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14
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b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)
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199 b(WORK,)14 b(LWORK,)214 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205
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25 y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHEEVX\()15
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b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14 b(LDA,)146 b(VL,)14
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b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199
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b(WORK,)14 b(LWORK,)h(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218
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83 y(SSYEVR\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14
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b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)
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93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)214 b(IWORK,)14 b(LIWORK,)h(INFO)f(\))
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218 112 y(CHEEVR\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14
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b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)
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93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)h(RWORK,)g(LRWORK,)g(IWORK,)f(LIWORK,)
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h(INFO)f(\))218 170 y(SSYGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,)
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66 b(A,)14 b(LDA,)g(B,)g(LDB,)41 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h
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(M,)f(W,)g(Z,)f(LDZ,)107 b(WORK,)14 b(LWORK,)214 b(IWORK,)14
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b(IFAIL,)h(INFO)f(\))218 199 y(CHEGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f
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(UPLO,)h(N,)66 b(A,)14 b(LDA,)g(B,)g(LDB,)41 b(VL,)14
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b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,)f(LDZ,)107
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b(WORK,)14 b(LWORK,)h(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205
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257 y Fd(Symmetric/Hermitian)129 b Fc(SSPEVX\()15 b(JOBZ,)f(RANGE,)h
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(UPLO,)f(N,)67 b(AP,)199 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e
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(W,)h(Z,)g(LDZ,)199 b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205
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286 y Fd(\(P)o(ac)o(k)o(ed)d(Storage\))195 b Fc(CHPEVX\()15
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b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(AP,)199 b(VL,)14 b(VU,)g(IL,)g(IU,)g
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(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 b(WORK,)107 b(RWORK,)121
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b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 315 y Fd(Eigen)o(v)n(alues/v)o
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(ectors)218 344 y Fc(SSPGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,)66
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b(AP,)14 b(BP,)147 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,)
d63ebf
f(LDZ,)107 b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218
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373 y(CHPGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,)66
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b(AP,)14 b(BP,)147 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,)
d63ebf
f(LDZ,)107 b(WORK,)g(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205
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431 y Fd(Symmetric/Hermitian)9 b(Band)50 b Fc(SSBEVX\()15
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b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KD,)g(AB,)g(LDAB,)g(Q,)g(LDQ,)g(VL,)g
d63ebf
(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199
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b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 460
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y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHBEVX\()15
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b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KD,)g(AB,)g(LDAB,)g(Q,)g(LDQ,)g(VL,)g
d63ebf
(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199
d63ebf
b(WORK,)107 b(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218
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519 y(SSBGVX\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KA,)g(KB,)g(AB,)g(LDAB,)
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g(BB,)g(LDBB,)g(Q,)g(LDQ,)g(VL,)g(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h
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(Z,)g(LDZ,)g(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218
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548 y(CHBGVX\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KA,)g(KB,)g(AB,)g(LDAB,)
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g(BB,)g(LDBB,)g(Q,)g(LDQ,)g(VL,)g(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h
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(Z,)g(LDZ,)g(WORK,)107 b(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))
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-205 606 y Fd(Symmetric)8 b(T)n(ridiagonal)120 b Fc(SSTEVX\()15
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b(JOBZ,)f(RANGE,)94 b(N,)67 b(D,)14 b(E,)172 b(VL,)14
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b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199
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b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 635
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y Fd(Eigen)o(v)n(alues/v)o(ectors)218 664 y Fc(SSTEVR\()h(JOBZ,)f
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(RANGE,)94 b(N,)67 b(D,)14 b(E,)172 b(VL,)14 b(VU,)g(IL,)g(IU,)g
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(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)214
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b(IWORK,)14 b(LIWORK,)h(INFO)f(\))387 819 y Fe(Exp)q(ert)f(Driv)o(er)h
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(Routines)f(for)h(Standard)d(and)i(Generalized)f(Nonsymmetric)f(Eigen)o
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(v)n(alue)h(Problems)-205 907 y Fd(Problem)e(T)o(yp)q(e)49
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b(Routine)p -229 917 2857 2 v -205 938 a(Sc)o(h)o(ur)165
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b Fc(SGEESX\()15 b(JOBVS,)g(SORT,)f(SELECT,)h(SENSE,)28
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b(N,)14 b(A,)f(LDA,)i(SDIM,)27 b(WR,)14 b(WI,)g(VS,)g(LDVS,)464
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b(RCONDE,)15 b(RCONDV,)319 b(WORK,)15 b(LWORK,)107 b(IWORK,)15
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b(LIWORK,)f(BWORK,)h(INFO)f(\))-205 967 y Fd(F)n(actorization)65
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b Fc(CGEESX\()15 b(JOBVS,)g(SORT,)f(SELECT,)h(SENSE,)28
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b(N,)14 b(A,)f(LDA,)i(SDIM,)27 b(W,)80 b(VS,)14 b(LDVS,)464
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b(RCONDE,)15 b(RCONDV,)319 b(WORK,)15 b(LWORK,)f(RWORK,)213
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b(BWORK,)15 b(INFO)f(\))35 1025 y(SGGESX\()h(JOBVSL,)g(JOBVSR,)g(SORT,)
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f(SELCTG,)h(SENSE,)28 b(N,)14 b(A,)g(LDA,)g(B,)f(LDB,)i(SDIM,)f
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(ALPHAR,)h(ALPHAI,)g(BETA,)f(VSL,)g(LDVSL,)h(VSR,)f(LDVSR,)h(RCONDE,)f
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(RCONDV,)187 b(WORK,)15 b(LWORK,)107 b(IWORK,)15 b(LIWORK,)f(BWORK,)h
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(INFO)f(\))35 1054 y(CGGESX\()h(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h
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(SENSE,)28 b(N,)14 b(A,)g(LDA,)g(B,)f(LDB,)i(SDIM,)f(ALPHAR,)h(ALPHAI,)
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g(BETA,)f(VSL,)g(LDVSL,)h(VSR,)f(LDVSR,)h(RCONDE,)f(RCONDV,)187
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b(WORK,)15 b(LWORK,)f(RWORK,)h(IWORK,)g(LIWORK,)f(BWORK,)h(INFO)f(\))
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-205 1112 y Fd(Eigen)o(v)n(alues/)72 b Fc(SGEEVX\()15
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b(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f(LDA,)107
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b(WR,)14 b(WI,)g(VL,)g(LDVL,)g(VR,)g(LDVR,)h(ILO,)f(IHI,)g(SCALE,)h
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(ABNRM,)f(RCONDE,)h(RCONDV,)425 b(WORK,)15 b(LWORK,)107
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b(IWORK,)g(INFO)14 b(\))-205 1141 y Fd(v)o(ectors)146
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b Fc(CGEEVX\()15 b(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f(LDA,)
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107 b(W,)80 b(VL,)14 b(LDVL,)g(VR,)g(LDVR,)h(ILO,)f(IHI,)g(SCALE,)h
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(ABNRM,)f(RCONDE,)h(RCONDV,)425 b(WORK,)15 b(LWORK,)f(RWORK,)200
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b(INFO)14 b(\))35 1199 y(SGGEVX\()h(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)
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h(N,)f(A,)f(LDA,)i(B,)e(LDB,)h(ALPHAR,)h(ALPHAI,)g(BETA,)g(VL,)e(LDVL,)
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i(VR,)f(LDVR,)g(ILO,)g(IHI,)g(LSCALE,)h(RSCALE,)g(ABNRM,)g(BBNRM,)f
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(RCONDE,)h(RCONDV,)g(WORK,)g(LWORK,)107 b(IWORK,)14 b(BWORK,)h(INFO)f
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(\))35 1228 y(CGGEVX\()h(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f
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(LDA,)i(B,)e(LDB,)h(ALPHAR,)h(ALPHAI,)g(BETA,)g(VL,)e(LDVL,)i(VR,)f
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(LDVR,)g(ILO,)g(IHI,)g(LSCALE,)h(RSCALE,)g(ABNRM,)g(BBNRM,)f(RCONDE,)h
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(RCONDV,)g(WORK,)g(LWORK,)f(RWORK,)h(IWORK,)f(BWORK,)h(INFO)f(\))1095
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1373 y Fe(Meaning)g(of)g(pre\014xes)921 1442 y Fb(Routines)9
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b(b)q(eginning)g(with)j(\\S")e(are)h(a)o(v)n(ailable)e(in:)1200
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1512 y Fa(S)17 b(-)h(REAL)1094 1551 y(D)f(-)h(DOUBLE)d(PRECISION)918
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1591 y Fb(Routines)9 b(b)q(eginning)g(with)j(\\C")f(are)g(a)o(v)n
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(ailable)e(in:)1173 1660 y Fa(C)18 b(-)f(COMPLEX)1147
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1700 y(Z)g(-)h(COMPLEX*1)o(6)831 1739 y Fb(Note:)d Fa(COMPLEX*16)8
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b Fb(ma)o(y)j(not)g(b)q(e)g(supp)q(orted)d(b)o(y)j(all)g(mac)o(hines)p
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eop
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%%Trailer
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end
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userdict /end-hook known{end-hook}if
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%%EOF