ztrsyl.f - Man Page
SRC/ztrsyl.f
Synopsis
Functions/Subroutines
subroutine 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.
Definition at line 155 of file ztrsyl.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page ztrsyl(3) is an alias of ztrsyl.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK