Mixed double-multiple precision version of hyperplane constrained method for singular value decomposition

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概要

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• In this paper, we design a mixed double-multiple precision version of the hyperplane constrained method for singular value decomposition (SVD), which is based on solving nonlinear systems with the solutions constrained on hyperplanes. We also propose its hybrid method in order to shorten the running time. Through some numerical examples for matrices with small singular values, it is shown that, by new versions, the SVD is computable with high relative accuracy.

• 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

• Yadani Kenichi

  Graduate School of Informatics, Kyoto University

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