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Algorithm for computing Kronecker basis
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- Kakinuma Yoshiaki
- Graduate School of Science and Engineering, Saitama University
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- Hiraoka Kazuyuki
- Graduate School of Science and Engineering, Saitama University
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- Hashiguchi Hiroki
- Graduate School of Science and Engineering, Saitama University
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- Kuwajima Yutaka
- Graduate School of Science and Engineering, Saitama University
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- Shigehara Takaomi
- Graduate School of Science and Engineering, Saitama University
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Description
To make clear geometrical structure of an arbitrarily given pencil, it is crucial to understand Kronecker structure of the pencil. For this purpose, GUPTRI is the only practical numerical algorithm at present. However, although GUPTRI determines the Kronecker canonical form (KCF), it does not give any direct information on Kronecker bases (KB). In this paper, we propose a numerical algorithm which gives a full of information on Kronecker structure including KB as well as KCF. The main ingredient of the algorithm is singular value decompositions, which guarantee the backward stability of the algorithm.
Journal
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- JSIAM Letters
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JSIAM Letters 1 (0), 60-63, 2009
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680277675776
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- NII Article ID
- 130000133094
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- ISSN
- 18830617
- 18830609
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
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- Abstract License Flag
- Disallowed