
NAMEztrsyl.f SYNOPSISFunctions/Subroutinessubroutine ztrsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO) Function/Subroutine Documentationsubroutine ztrsyl (characterTRANA, characterTRANB, integerISGN, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( ldb, * )B, integerLDB, complex*16, dimension( ldc, * )C, integerLDC, double precisionSCALE, integerINFO)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 MbyM and B is NbyN; the right hand side C and the solution X are MbyN; and scale is an output scale factor, set <= 1 to avoid overflow in X. TRANA
Author:
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*CM 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 MbyN 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 ith 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). Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 157 of file ztrsyl.f.
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