ZTRSYL - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)
NAMEZTRSYL - solves the complex Sylvester matrix equation
SYNOPSISSUBROUTINE ZTRSYL(  TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO )  CHARACTER TRANA, TRANB  INTEGER INFO, ISGN, LDA, LDB, LDC, M, N  DOUBLE PRECISION SCALE  COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
PURPOSEZTRSYL 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.
ARGUMENTSTRANA (input) CHARACTER*1  Specifies the option op(A):
= 'N': op(A) = A (No transpose)
= 'C': op(A) = A**H (Conjugate transpose) TRANB (input) CHARACTER*1  
Specifies the option op(B):
= 'N': op(B) = B (No transpose)
= 'C': op(B) = B**H (Conjugate transpose) ISGN (input) 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 (input) INTEGER  The order of the matrix A, and the number of rows in the matrices X and C. M >= 0. N (input) INTEGER  The order of the matrix B, and the number of columns in the matrices X and C. N >= 0. A (input) COMPLEX*16 array, dimension (LDA,M)  The upper triangular matrix A. LDA (input) INTEGER  The leading dimension of the array A. LDA >= max(1,M). B (input) COMPLEX*16 array, dimension (LDB,N)  The upper triangular matrix B. LDB (input) INTEGER  The leading dimension of the array B. LDB >= max(1,N). C (input/output) 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 (input) INTEGER  The leading dimension of the array C. LDC >= max(1,M) SCALE (output) DOUBLE PRECISION  The scale factor, scale, set <= 1 to avoid overflow in X. INFO (output) 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). 0
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