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International Journal of Computer Mathematics Volume 85, 2008 - Issue 5
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Original Articles

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

Wenhua Kang Institute of Mathematics, School of Mathematical Sciences and Key Laboratory of Nonlinear Sciences (Fudan University) Ministry of Education, Fudan University, Shanghai, 200433, P.R. ChinaCorrespondence[email protected]
&
Hua Xiang School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R. ChinaView further author information
Pages 827-841 | Received 16 Nov 2005, Accepted 06 May 2007, Published online: 24 Apr 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.

AMS Subject Classification:

Acknowledgements

This project is supported by the National Natural Science Foundation of China under grant 10471027 and the Shanghai Education Committee.

Additional information

Notes on contributors

Hua Xiang

Current address: INRIA Futurs, Parc Club Orsay Universite, 4 rue Jacques Monod, 91893 Orsay Cedex France.

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