zgebak zgebal zgehrd zhsein zhseqr ztrevc3 ztrexc ztrsen ztrsna ztrsyl zunghr zunmhr

ztrsyl() void ztrsyl ( char  transa, char  transb, int  isgn, int  m, int  n, int  lda, doublecomplex  a[], int  ldb, doublecomplex  b[], int  ldc, doublecomplex  c[], double *  scale, int *  info  ) Solve complex Sylvester matrix equation Purpose This routine 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 x m and B is n x n. The right hand side C and the solution X are m x n. scale is an output scale factor, set <= 1 by the routine to avoid overflow in X. Parameters [in] transa Specifies the option op(A): = 'N': op(A) = A (No transpose) = 'C': op(A) = A^H (Conjugate transpose) [in] transb Specifies the option op(B): = 'N': op(B) = B (No transpose) = 'C': op(B) = B^H (Conjugate transpose) [in] isgn 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 [in] m The order of the matrix A, and the number of rows in the matrices X and C. (m >= 0) (If m = 0, returns without computation) [in] n The order of the matrix B, and the number of columns in the matrices X and C. (n >= 0) (If n = 0, returns without computation) [in] lda Leading dimension of the two dimensional array a[][]. (lda >= max(1, m)) [in] a[][] Array a[la][lda] (la >= m) The upper triangular matrix A. [in] ldb Leading dimension of the two dimensional array b[][]. (ldb >= max(1, n)) [in] b[][] Array b[lb][ldb] (lb >= n) The upper triangular matrix B. [in] ldc Leading dimension of the two dimensional array c[][]. (ldc >= max(1, m)) [in,out] c[][] Array c[lc][ldc] (lc >= n) [in] The m x n right hand side matrix C. [out] Overwritten by the solution matrix X. [out] scale The scale factor, scale, set <= 1 by the routine to avoid overflow in X. [out] info = 0: Successful exit = -1: The argument transa had an illegal value (transa != 'N' nor 'C') = -2: The argument transb had an illegal value (transb != 'N' nor 'C') = -3: The argument isgn had an illegal value (isign != 1 nor -1) = -4: The argument m had an illegal value (m < 0) = -5: The argument n had an illegal value (n < 0) = -6: The argument lda had an illegal value (lda < max(1, m)) = -8: The argument ldb had an illegal value (ldb < max(1, n)) = -10: The argument ldc had an illegal value (ldc < max(1, m)) = 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). Reference LAPACK