Level-2 condition numbers for least-squares solution of Kronecker product linear systems

Authors:
Wenhua Kang;Hua Xiang
Affiliations:
Institute of Mathematics, School of Mathematical Sciences and Key Laboratory of Nonlinear Sciences (Fudan University) Ministry of Education, Fudan University, Shanghai, P.R. China;School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. China
Venue:
International Journal of Computer Mathematics
Year:
2008

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Abstract

Kronecker product linear systems arise more and more often in the real world. In this paper, we consider the minimum norm least-squares solution of Kronecker product linear systems (A⊗ B)x=b by extending some known results from nonsingular cases to singular or rectangular cases. We investigate the level-2 condition numbers, and the corresponding bounds of these condition numbers.