The generalized anti-reflexive solutions for a class of matrix equations (BX = C, XD = E)

Autor:	Xi-Yan Hu, Lei Zhang, Fan-Liang Li
Rok vydání:	2008
Předmět:	State-transition matrix Class (set theory) Pure mathematics Approximation solution Applied Mathematics Mathematical analysis Solution set Inverse Computational Mathematics Matrix (mathematics) matrix equations optimal approximation General expression generalized anti-reflexive matrices Mathematics
Zdroj:	Computational & Applied Mathematics v.27 n.1 2008 Computational & Applied Mathematics Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC Computational & Applied Mathematics, Volume: 27, Issue: 1, Pages: 31-46, Published: 2008
ISSN:	0101-8205
DOI:	10.1590/s0101-82052008000100002
Popis:	In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which arise in left and right inverse eigenpairs problem, is considered. With the special properties of generalized anti-reflexive matrices, the necessary and sufficient conditions for the solvability and a general expression of the solution are obtained. Furthermore, the related optimal approximation problem to a given matrix over the solution set is solved. In addition, the algorithm and the example to obtain the unique optimal approximation solution are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e5ad708a8d3df61f11b1e04dc409e51 https://doi.org/10.1590/s0101-82052008000100002 Zobrazit plný text záznamu