Lyapunov¶

A special case of the Sylvester solver, where \(B = A^H\).

Note

If minimizing memory usage is of importance, then the “preformed” Sylvester interface should be used instead.

Python API¶

Lyapunov(A, C)¶

C++ API¶

void Lyapunov(const Matrix<F> &A, const Matrix<F> &C, Matrix<F> &X, SignCtrl<Base<F>> signCtrl = SignCtrl<Base<F>>())¶

void Lyapunov(const AbstractDistMatrix<F> &A, const AbstractDistMatrix<F> &C, AbstractDistMatrix<F> &X, SignCtrl<Base<F>> signCtrl = SignCtrl<Base<F>>())¶

C API¶

Note

An “expert” C interface needs to be added and documented.

Single-precision¶

ElError ElLyapunov_s(ElConstMatrix_s A, ElConstMatrix_s C, ElMatrix_s X)¶

ElError ElLyapunovDist_s(ElConstDistMatrix_s A, ElConstDistMatrix_s C, ElDistMatrix_s X)¶

Double-precision¶

ElError ElLyapunov_d(ElConstMatrix_d A, ElConstMatrix_d C, ElMatrix_d X)¶

ElError ElLyapunovDist_d(ElConstDistMatrix_d A, ElConstDistMatrix_d C, ElDistMatrix_d X)¶

Single-precision complex¶

ElError ElLyapunov_c(ElConstMatrix_c A, ElConstMatrix_c C, ElMatrix_c X)¶

ElError ElLyapunovDist_c(ElConstDistMatrix_c A, ElConstDistMatrix_c C, ElDistMatrix_c X)¶

Double-precision complex¶

ElError ElLyapunov_z(ElConstMatrix_z A, ElConstMatrix_z C, ElMatrix_z X)¶

ElError ElLyapunovDist_z(ElConstDistMatrix_z A, ElConstDistMatrix_z C, ElDistMatrix_z X)¶