Title of article
Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
Author/Authors
Dehghan، نويسنده , , Mehdi and Hajarian، نويسنده , , Masoud، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
6
From page
444
To page
449
Abstract
In this paper, we propose two iterative algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of the Sylvester matrix equation A X + X B = C , respectively. We prove that the first (second) algorithm converges to the Hermitian reflexive (skew-Hermitian) solution for any initial Hermitian reflexive (skew-Hermitian) matrix. Finally, two numerical examples illustrate the theoretical results.
Keywords
Hermitian reflexive matrix , Sylvester matrix equation , iterative algorithm , Skew-Hermitian matrix
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527683
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