Title of article :
On the solving matrix equations by using the spectral representation
Author/Authors :
Nazari, A. M. Department of Mathematics - Faculty of Science - Arak university , Mollaghasemi, S. Department of Mathematics - Faculty of Science - Arak university , Bahmani, F. Department of Mathematics - Faculty of Science - Arak university
Abstract :
The purpose of this paper is to solve two types of Lyapunov equations and
quadratic matrix equations by using the spectral representation. We focus on solving Lya- punov equations
AX+XA
*= C and AX+XAT = bbT for A;X 2 Cnn and b 2 Cns with
s < n, which X is unknown matrix. Also, we suggest the new method for solving quadratic
matrix equations AX2 + BX + C = 0, where A;B;C;X 2 Cnn and X is unknown matrix
with similar method.
Keywords :
Lyapanov equation , square matrix equations , spectral representation
Journal title :
Astroparticle Physics
