LMEDenseLyapunov#

Computes the solution of a dense continuous-time Lyapunov equation.

Synopsis#

#include "slepclme.h" 
PetscErrorCode LMEDenseLyapunov(LME lme,PetscInt m,PetscScalar A[],PetscInt lda,PetscScalar B[],PetscInt ldb,PetscScalar X[],PetscInt ldx)

Logically Collective

Input Parameters#

  • lme - the linear matrix equation solver context

  • m - number of rows and columns of A

  • A - coefficient matrix

  • lda - leading dimension of A

  • B - right-hand side matrix

  • ldb - leading dimension of B

  • ldx - leading dimension of X

Output Parameter#

  • X - the solution

Note#

The Lyapunov equation has the form \(AX + XA^* = -B\), where all are \(m\times m\) matrices, and \(B\) is symmetric.

See Also#

LME: Linear Matrix Equation, LMEDenseHessLyapunovChol(), LMESolve()

Level#

developer

Location#

src/lme/interface/lmedense.c

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