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A class of iteration methods for the matrix equation A×B = C

Published online by Cambridge University Press:  17 April 2009

Konghua Guo ,
Xiyan Hu  and
Lei Zhang
Konghua Guo
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, Peoples Republic of China, e-mail: khguo@126.com
Xiyan Hu
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, Peoples Republic of China, e-mail: khguo@126.com
Lei Zhang
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, Peoples Republic of China, e-mail: khguo@126.com
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An iteration method for the matrix equation A×B = C is constructed. By this iteration method, the least-norm solution for the matrix equation can be obtained when the matrix equation is consistent and the least-norm least-squares solutions can be obtained when the matrix equation is not consistent. The related optimal approximation solution is obtained by this iteration method. A preconditioned method for improving the iteration rate is put forward. Finally, some numerical examples are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 289 - 298
Copyright
Copyright © Australian Mathematical Society 2007

References

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