zgtsv.f(3)

NAME
zgtsv.f -

SYNOPSIS

  Functions/Subroutines
subroutine zgtsv (N, NRHS, DL, D, DU, B, LDB, INFO)
ZGTSV computes the solution to system of linear equations A * X = B for GT matrices

Function/Subroutine Documentation

  subroutine zgtsv (integerN, integerNRHS, complex*16, dimension( * )DL, complex*16, dimension( * )D, complex*16, dimension( * )DU, complex*16, dimension( ldb, * )B, integerLDB, integerINFO)

ZGTSV computes the solution to system of linear equations A * X = B for GT matrices

Purpose:

     ZGTSV  solves the equation
        A*X = B,
     where A is an N-by-N tridiagonal matrix, by Gaussian elimination with
     partial pivoting.
     Note that the equation  A**T *X = B  may be solved by interchanging the
     order of the arguments DU and DL.

Parameters:
    N

              N is INTEGER
              The order of the matrix A.  N >= 0.

    NRHS

              NRHS is INTEGER
              The number of right hand sides, i.e., the number of columns
              of the matrix B.  NRHS >= 0.

    DL

              DL is COMPLEX*16 array, dimension (N-1)
              On entry, DL must contain the (n-1) subdiagonal elements of
              A.
              On exit, DL is overwritten by the (n-2) elements of the
              second superdiagonal of the upper triangular matrix U from
              the LU factorization of A, in DL(1), ..., DL(n-2).

    D

              D is COMPLEX*16 array, dimension (N)
              On entry, D must contain the diagonal elements of A.
              On exit, D is overwritten by the n diagonal elements of U.

    DU

              DU is COMPLEX*16 array, dimension (N-1)
              On entry, DU must contain the (n-1) superdiagonal elements
              of A.
              On exit, DU is overwritten by the (n-1) elements of the first
              superdiagonal of U.

    B

              B is COMPLEX*16 array, dimension (LDB,NRHS)
              On entry, the N-by-NRHS right hand side matrix B.
              On exit, if INFO = 0, the N-by-NRHS solution matrix X.

    LDB

              LDB is INTEGER
              The leading dimension of the array B.  LDB >= max(1,N).

    INFO

              INFO is INTEGER
              = 0:  successful exit
              < 0:  if INFO = -i, the i-th argument had an illegal value
              > 0:  if INFO = i, U(i,i) is exactly zero, and the solution
                    has not been computed.  The factorization has not been
                    completed unless i = N.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    September 2012

Definition at line 125 of file zgtsv.f.

Author

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