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

• Yadani Kenichi

  Graduate School of Informatics, Kyoto University

• Kondo Koichi

  Faculty of Science and Engineering, Doshisha University

• Iwasaki Masashi

  Department of Informatics and Environmental Science, Kyoto Prefectural University

抄録

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.

収録刊行物

• JSIAM Letters

  JSIAM Letters 2 (0), 25-28, 2010

  一般社団法人 日本応用数理学会

キーワード

• mixed precision
• singular value decomposition
• hyperplane constrained method

詳細情報

• CRID: 1390282680278371456
• NII論文ID: 130000257636
• DOI: 10.14495/jsiaml.2.25
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/2/0/2_0_25/_pdf
• 本文言語コード: en
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