scipy.linalg.lapack.ztrsyl#
- scipy.linalg.lapack.ztrsyl(a, b, c, trana='N', tranb='N', isgn=1, overwrite_c=0) = <flapack function ztrsyl>#
Solve the Sylvester equation
op(a) @ x + isgn * x @ op(b) = scale * c(LAPACKztrsyl).- Parameters:
- andarray
Upper (quasi-)triangular matrix of shape
(m, m), in Schur canonical form.- bndarray
Upper (quasi-)triangular matrix of shape
(n, n), in Schur canonical form.- cndarray
Right-hand side of shape
(m, n).- tranastr, optional
'N','T'or'C'forop(a). Default is'N'.- tranbstr, optional
'N','T'or'C'forop(b). Default is'N'.- isgnint, optional
Sign of the
x @ op(b)term: 1 or -1. Default is 1.- overwrite_cint, optional
If nonzero, c may be overwritten in place. Default is 0.
- Returns:
- xndarray
The solution, overwriting c.
- scalefloat
Scale factor, at most 1, chosen to avoid overflow in the solution.
- infoint
0 on success; if negative, the
-info-th argument had an illegal value; 1 if a and b have common or very close eigenvalues, in which case perturbed values were used.