Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
A Hybrid Approach to the Non-orthogonal Joint Diagonalization Problem(Application)
Yusuke HirotaYusaku YamamotoShao-Liang Zhang
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2012 Volume 22 Issue 2 Pages 63-79

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Abstract
The problem to find a congruent transformation to make more than one given matrices as diagonal as possible is called the non-orthogonal joint diagonalization problem. While various iterative algorithms have been proposed for the problem, they take long time for large scale problems. It is therefore important to accelerate these algorithms. In this study, we propose a hybrid algorithm that combines two conventional algorithms to reduce the iteration number. Numerical experiments show that the iteration number of the proposed algorithm is 50% smaller than that of the conventional one in the best case.
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© 2012 The Japan Society for Industrial and Applied Mathematics
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