ztrsyl.f - Online Linux Manual Page
Section : 3
Updated : Tue Nov 14 2017
Source : Version 3.8.0
Note : LAPACK
NAMEztrsyl.f
SYNOPSIS
Functions/Subroutinessubroutine ztrsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO)
ZTRSYL
Function/Subroutine Documentation
subroutine ztrsyl (character TRANA, character TRANB, integer ISGN, integer M, integer N, complex*16, dimension( lda, * ) A, integer LDA, complex*16, dimension( ldb, * ) B, integer LDB, complex*16, dimension( ldc, * ) C, integer LDC, double precision SCALE, integer INFO)ZTRSYL 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.Parameters: TRANA TRANA is CHARACTER*1
Specifies the option op(A):
= 'N': op(A) = A (No transpose)
= 'C': op(A) = A**H (Conjugate transpose)
TRANB TRANB is CHARACTER*1
Specifies the option op(B):
= 'N': op(B) = B (No transpose)
= 'C': op(B) = B**H (Conjugate transpose)
ISGN ISGN is INTEGER
Specifies the sign in the equation:
= +1: solve op(A)*X + X*op(B) = scale*C
= -1: solve op(A)*X - X*op(B) = scale*C
M M is INTEGER
The order of the matrix A, and the number of rows in the
matrices X and C. M >= 0.
N N is INTEGER
The order of the matrix B, and the number of columns in the
matrices X and C. N >= 0.
A A is COMPLEX*16 array, dimension (LDA,M)
The upper triangular matrix A.
LDA LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
B B is COMPLEX*16 array, dimension (LDB,N)
The upper triangular matrix B.
LDB LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).
C C is COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N right hand side matrix C.
On exit, C is overwritten by the solution matrix X.
LDC LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M)
SCALE SCALE is DOUBLE PRECISION
The scale factor, scale, set <= 1 to avoid overflow in X.
INFO INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
= 1: A and B have common or very close eigenvalues; perturbed
values were used to solve the equation (but the matrices
A and B are unchanged).Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: December 2016 Definition at line 159 of file ztrsyl.f.
AuthorGenerated automatically by Doxygen for LAPACK from the source code. 0
Johanes Gumabo
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