`scipy.linalg._flapack:dtgsyl`

source: build-install/usr/lib/python3.14/site-packages/scipy/linalg/_flapack.cpython-314-x86_64-linux-gnu.so

Summary

Solve the generalized Sylvester equations (LAPACK dtgsyl).

Extended Summary

Solves a @ r - l @ b == scale * c together with d @ r - l @ e == scale * f for the pair (r, l), which overwrites (c, f). The .pyf declares only the real flavors.

Parameters

a : ndarray: Upper quasi-triangular matrix of shape (m, m).
b : ndarray: Upper quasi-triangular matrix of shape (n, n).
c : ndarray: Right-hand side of the first equation, shape (m, n).
d : ndarray: Upper triangular matrix of shape (m, m).
e : ndarray: Upper triangular matrix of shape (n, n).
f : ndarray: Right-hand side of the second equation, shape (m, n).
trans : str, optional: 'N' for the equations above, 'T' for the transposed pair. Default is 'N'.
ijob : int, optional: 0 solves only; 1 through 4 also estimate dif, by different methods. Default is 0.
lwork : int, optional: Workspace size. Only ijob of 1 or 2 with trans == 'N' needs the full 2 * m * n; the rest get by with n. Default is 2 * m * n.
overwrite_c : int, optional: If nonzero, c may be overwritten in place. Default is 0.
overwrite_f : int, optional: If nonzero, f may be overwritten in place. Default is 0.

Returns

r : ndarray: First component of the solution, overwriting c.
l : ndarray: Second component of the solution, overwriting f.
scale : float: Scale factor, at most 1, chosen to avoid overflow in the solution.
dif : float: Estimate of the separation of the two pencils; 0 unless ijob asked for it.
info : int: 0 on success; if negative, the -info-th argument had an illegal value; 1 if the pencils have common or very close eigenvalues.

Aliases

scipy.linalg._flapack.dtgsyl