SRC/ztrsyl.f(3)            Library Functions Manual            SRC/ztrsyl.f(3)

NAME
       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.

LAPACK                          Version 3.12.0                 SRC/ztrsyl.f(3)