• NAME
• SYNOPSIS
• F95 INTERFACE
• C INTERFACE
• PURPOSE
• ARGUMENTS

NAME

sgtsv - solve the equation A*X = B,

SYNOPSIS

  SUBROUTINE SGTSV( N, NRHS, LOW, DIAG, UP, B, LDB, INFO)
  INTEGER N, NRHS, LDB, INFO
  REAL LOW(*), DIAG(*), UP(*), B(LDB,*)

  SUBROUTINE SGTSV_64( N, NRHS, LOW, DIAG, UP, B, LDB, INFO)
  INTEGER*8 N, NRHS, LDB, INFO
  REAL LOW(*), DIAG(*), UP(*), B(LDB,*)

F95 INTERFACE

  SUBROUTINE GTSV( [N], [NRHS], LOW, DIAG, UP, B, [LDB], [INFO])
  INTEGER :: N, NRHS, LDB, INFO
  REAL, DIMENSION(:) :: LOW, DIAG, UP
  REAL, DIMENSION(:,:) :: B

  SUBROUTINE GTSV_64( [N], [NRHS], LOW, DIAG, UP, B, [LDB], [INFO])
  INTEGER(8) :: N, NRHS, LDB, INFO
  REAL, DIMENSION(:) :: LOW, DIAG, UP
  REAL, DIMENSION(:,:) :: B

C INTERFACE

#include <sunperf.h>

void sgtsv(int n, int nrhs, float *low, float *diag, float *up, float *b, int ldb, int *info);

void sgtsv_64(long n, long nrhs, float *low, float *diag, float *up, float *b, long ldb, long *info);

PURPOSE

sgtsv solves the equation

where A is an n by n tridiagonal matrix, by Gaussian elimination with partial pivoting.

Note that the equation A'*X = B may be solved by interchanging the order of the arguments DU and DL.

ARGUMENTS

• N (input)
  The order of the matrix A. N > = 0.

• NRHS (input)
  The number of right hand sides, i.e., the number of columns of the matrix B. NRHS > = 0.

• LOW (input/output)
  On entry, LOW must contain the (n-1) sub-diagonal elements of A.

  On exit, LOW is overwritten by the (n-2) elements of the second super-diagonal of the upper triangular matrix U from the LU factorization of A, in LOW(1), ..., LOW(n-2).

• DIAG (input/output)
  On entry, DIAG must contain the diagonal elements of A.

  On exit, DIAG is overwritten by the n diagonal elements of U.

• UP (input/output)
  On entry, UP must contain the (n-1) super-diagonal elements of A.

  On exit, UP is overwritten by the (n-1) elements of the first super-diagonal of U.

• B (input/output)
  On entry, the N by NRHS matrix of right hand side matrix B. On exit, if INFO = 0, the N by NRHS solution matrix X.

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

• INFO (output)
  

   = 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.