On the convergence of the V-type hyperplane constrained method for singular value decomposition

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概要

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• In this paper, we investigate the convergence of the V-type hyperplane constrained method for singular value decomposition. The V-type method involves employing the Newton type iteration to solve the nonlinear systems with the searching range of right singular vectors constrained on a hyperplane. First, we discuss the nonsingularity of the Jacobian matrix appearing in the Newton type iteration. Next, we clarify the convergence of the Newton type iteration. Finally, we prove that singular value decomposition is computable by the V-type method.

• The Japan Society for Industrial and Applied Mathematicsの論文

著者

• Kondo Koichi

  Faculty Of Engineering Gifu University

• Iwasaki Masashi

  Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University

• Kondo Koichi

  Faculty of Science and Engineering, Doshisha University

• Yadani Kenichi

  Graduate School of Informatics, Kyoto University

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