Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 234, Issue 8, Pages 2405-2410Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2010.03.008
Keywords
Matrix equation; Symmetric positive definite matrix; A-orthogonal matrix group; Successive projection iterative method
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Funding
- Excellent Youth Foundation of Educational Committee of Hunan Province [09B113]
- National natural Science Foundation of China [10571047]
- Specialized Research Fund for the Doctoral Program of Higher Education [20060532014]
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In this paper, we present a new iterative method (successive projection iterative method) to solve matrix equation AX = B, where A is a symmetric positive definite (SPD) matrix. Based on this method an algorithm is proposed and proved to be convergent. In addition, analysis of the algorithm and numerical experiments are also given to show the efficiency of the method. (C) 2010 Elsevier B.V. All rights reserved.
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