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- 鈴木 智博
- 山梨大学工学部電子情報工学科
書誌事項
- タイトル別名
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- Eigenvalue Problems for Real Nonsymmetric Matrices by Applying Homotopy method
- ホモトピーホウ オ テキヨウシタ ジッスウ ヒタイショウ ギョウレツ ノ コユ
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By applying the homotopy method, the eigenvalue problem for real nonsymmetric matrices reduces to the problem of tracing algebraic curves which are called eigenpaths. Since a real nonsymmetric metrices generally has complex eigenvalues, the eigenpath transitions from the real space to the complex space or vice versa. This bifurcation phenomenon occurs at the point which is called a bifurcation point. The purpose of this paper is to clear that the relation between the bifurcation phenomenon and the multiplicity of eigenvalues. The common bifurcation phenomenon occurs at the point which has an eigenvalue such that algebraic multiplicity is 2 and geometric multiplicity is 1.
収録刊行物
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- 日本応用数理学会論文誌
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日本応用数理学会論文誌 7 (4), 353-362, 1997
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390001205767706112
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- NII論文ID
- 110001883665
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- NII書誌ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL書誌ID
- 4365338
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可