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zgtsv.f(3) LAPACK zgtsv.f(3)

zgtsv.f -


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

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.

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Sat Nov 16 2013 Version 3.4.2

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