ztrsyl


NAME

ztrsyl - solve the complex Sylvester matrix equation


SYNOPSIS

  SUBROUTINE ZTRSYL( TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, 
 *      SCALE, INFO)
  CHARACTER * 1 TRANA, TRANB
  DOUBLE COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
  INTEGER ISGN, M, N, LDA, LDB, LDC, INFO
  DOUBLE PRECISION SCALE
 
  SUBROUTINE ZTRSYL_64( TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, 
 *      LDC, SCALE, INFO)
  CHARACTER * 1 TRANA, TRANB
  DOUBLE COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
  INTEGER*8 ISGN, M, N, LDA, LDB, LDC, INFO
  DOUBLE PRECISION SCALE
 

F95 INTERFACE

  SUBROUTINE TRSYL( TRANA, TRANB, ISGN, [M], [N], A, [LDA], B, [LDB], 
 *       C, [LDC], SCALE, [INFO])
  CHARACTER(LEN=1) :: TRANA, TRANB
  COMPLEX(8), DIMENSION(:,:) :: A, B, C
  INTEGER :: ISGN, M, N, LDA, LDB, LDC, INFO
  REAL(8) :: SCALE
 
  SUBROUTINE TRSYL_64( TRANA, TRANB, ISGN, [M], [N], A, [LDA], B, [LDB], 
 *       C, [LDC], SCALE, [INFO])
  CHARACTER(LEN=1) :: TRANA, TRANB
  COMPLEX(8), DIMENSION(:,:) :: A, B, C
  INTEGER(8) :: ISGN, M, N, LDA, LDB, LDC, INFO
  REAL(8) :: SCALE
 

C INTERFACE

#include <sunperf.h>

void ztrsyl(char trana, char tranb, int isgn, int m, int n, doublecomplex *a, int lda, doublecomplex *b, int ldb, doublecomplex *c, int ldc, double *scale, int *info);

void ztrsyl_64(char trana, char tranb, long isgn, long m, long n, doublecomplex *a, long lda, doublecomplex *b, long ldb, doublecomplex *c, long ldc, double *scale, long *info);


PURPOSE

ztrsyl solves the complex Sylvester matrix equation:

   op(A)*X + X*op(B) = scale*C or
   op(A)*X - X*op(B) = scale*C,

where op(A) = A or A**H, and A and B are both upper triangular. A is M-by-M and B is N-by-N; the right hand side C and the solution X are M-by-N; and scale is an output scale factor, set <= 1 to avoid overflow in X.


ARGUMENTS

* TRANA (input)
Specifies the option op(A):

* TRANB (input)
Specifies the option op(B):

* ISGN (input)
Specifies the sign in the equation:

* M (input)
The order of the matrix A, and the number of rows in the matrices X and C. M >= 0.

* N (input)
The order of the matrix B, and the number of columns in the matrices X and C. N >= 0.

* A (input)
The upper triangular matrix A.

* LDA (input)
The leading dimension of the array A. LDA >= max(1,M).

* B (input)
The upper triangular matrix B.

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

* C (input/output)
On entry, the M-by-N right hand side matrix C. On exit, C is overwritten by the solution matrix X.

* LDC (input)
The leading dimension of the array C. LDC >= max(1,M)

* SCALE (output)
The scale factor, scale, set <= 1 to avoid overflow in X.

* INFO (output)