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SRC/ztrsyl.f(3) LAPACK SRC/ztrsyl.f(3)

SRC/ztrsyl.f


subroutine ztrsyl (trana, tranb, isgn, m, n, a, lda, b, ldb, c, ldc, scale, info)
ZTRSYL

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.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:33 Version 3.12.1

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