cptsv (3p)

Name

cptsv - compute the solution to a complex system of linear equations A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal matrix, and X and B are N-by-NRHS matrices

Synopsis

SUBROUTINE CPTSV(N, NRHS, D, E, B, LDB, INFO)

COMPLEX E(*), B(LDB,*)
INTEGER N, NRHS, LDB, INFO
REAL D(*)

SUBROUTINE CPTSV_64(N, NRHS, D, E, B, LDB, INFO)

COMPLEX E(*), B(LDB,*)
INTEGER*8 N, NRHS, LDB, INFO
REAL D(*)




F95 INTERFACE
SUBROUTINE PTSV(N, NRHS, D, E, B, LDB, INFO)

COMPLEX, DIMENSION(:) :: E
COMPLEX, DIMENSION(:,:) :: B
INTEGER :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: D

SUBROUTINE PTSV_64(N, NRHS, D, E, B, LDB, INFO)

COMPLEX, DIMENSION(:) :: E
COMPLEX, DIMENSION(:,:) :: B
INTEGER(8) :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: D




C INTERFACE
#include <sunperf.h>

void  cptsv(int n, int nrhs, float *d, complex *e, complex *b, int ldb,
int *info);

void cptsv_64(long n, long nrhs, float *d, complex *e, complex *b, long
ldb, long *info);

Description

Oracle Solaris Studio Performance Library                            cptsv(3P)



NAME
       cptsv  -  compute  the solution to a complex system of linear equations
       A*X = B, where A is an N-by-N Hermitian positive  definite  tridiagonal
       matrix, and X and B are N-by-NRHS matrices


SYNOPSIS
       SUBROUTINE CPTSV(N, NRHS, D, E, B, LDB, INFO)

       COMPLEX E(*), B(LDB,*)
       INTEGER N, NRHS, LDB, INFO
       REAL D(*)

       SUBROUTINE CPTSV_64(N, NRHS, D, E, B, LDB, INFO)

       COMPLEX E(*), B(LDB,*)
       INTEGER*8 N, NRHS, LDB, INFO
       REAL D(*)




   F95 INTERFACE
       SUBROUTINE PTSV(N, NRHS, D, E, B, LDB, INFO)

       COMPLEX, DIMENSION(:) :: E
       COMPLEX, DIMENSION(:,:) :: B
       INTEGER :: N, NRHS, LDB, INFO
       REAL, DIMENSION(:) :: D

       SUBROUTINE PTSV_64(N, NRHS, D, E, B, LDB, INFO)

       COMPLEX, DIMENSION(:) :: E
       COMPLEX, DIMENSION(:,:) :: B
       INTEGER(8) :: N, NRHS, LDB, INFO
       REAL, DIMENSION(:) :: D




   C INTERFACE
       #include <sunperf.h>

       void  cptsv(int n, int nrhs, float *d, complex *e, complex *b, int ldb,
                 int *info);

       void cptsv_64(long n, long nrhs, float *d, complex *e, complex *b, long
                 ldb, long *info);



PURPOSE
       cptsv computes the solution to a complex system of linear equations A*X
       = B, where A is  an  N-by-N  Hermitian  positive  definite  tridiagonal
       matrix, and X and B are N-by-NRHS matrices.

       A  is factored as A = L*D*L**H, and the factored form of A is then used
       to solve the system of equations.


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.


       D (input/output)
                 On  entry,  the n diagonal elements of the tridiagonal matrix
                 A.  On exit, the n diagonal elements of the diagonal matrix D
                 from the factorization A = L*D*L**H.


       E (input/output)
                 On  entry,  the (n-1) subdiagonal elements of the tridiagonal
                 matrix A.  On exit, the (n-1)  subdiagonal  elements  of  the
                 unit  bidiagonal  factor L from the L*D*L**H factorization of
                 A.  E can also be regarded as the superdiagonal of  the  unit
                 bidiagonal factor U from the U**H*D*U factorization of A.


       B (input/output)
                 On  entry,  the N-by-NRHS 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, the leading minor of order i is not  posi-
                 tive  definite,  and the solution has not been computed.  The
                 factorization has not been completed unless i = N.




                                  7 Nov 2015                         cptsv(3P)