Two Matrix Iterative Methods for Solving General Coupled Matrix Equations

Author

Li, Sheng-Kun ; Huang, Ting-Zhu

Author_Institution

Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2010

fDate

17-19 Dec. 2010

Firstpage

384

Lastpage

387

Abstract

Here, two matrix iterative methods are proposed to solve general coupled matrix equations, based on Paige´s algorithms as the framework. By these new iterative methods, we can get the minimum Frobenius norm constrained solutions, such as symmetric, generalized bisymmetric and (R, S)-symmetric solutions.

Keywords

iterative methods; matrix algebra; Frobenius norm constrained solutions; Paige algorithm; general coupled matrix equations; generalized bisymmetric solution; matrix iterative methods; symmetric solution; Control systems; Convergence; Educational institutions; Equations; Iterative methods; Mathematical model; Symmetric matrices; Paige´s algorithms; general coupled matrix equations; iterative method;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-8814-8

Electronic_ISBN

978-0-7695-4270-6

Type

conf

DOI

10.1109/ICCIS.2010.100

Filename

5709103

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2458984