A Hybrid Approach to the Non-orthogonal Joint Diagonalization Problem(Application)

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  • 非直交同時対角化アルゴリズムのハイブリッド解法(応用)
  • 非直交同時対角化アルゴリズムのハイブリッド解法
  • ヒチョッコウ ドウジ タイ カクカ アルゴリズム ノ ハイブリッドカイホウ

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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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