A numerical factorization of characteristic polynomial by the discrete hungry Lotka-Volterra system(Theory,Applied Integrable Systems,<Special Issue>Joint Symposium of JSIAM Activity Groups 2008)
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- Fukuda Akiko
- Graduate School of Science, Tokyo University of Science
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- Ishiwata Emiko
- Faculty of Science, Tokyo University of Science
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- Iwasaki Masashi
- Faculty of Life and Environmental Sciences,Kyoto Prefectural University
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- Nakamura Yoshimasa
- Graduate School of Informatics, Kyoto University:SORST, JST
Bibliographic Information
- Other Title
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- 離散ハングリーロトカ・ボルテラ系による固有多項式の数値的因数分解(理論,応用可積分系,<特集>平成20年研究部会連合発表会)
- 離散ハングリーロトカ・ボルテラ系による固有多項式の数値的因数分解
- リサン ハングリー ロトカ ボルテラケイ ニ ヨル コユウ タコウシキ ノ スウチテキ インスウ ブンカイ
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Abstract
The discrete hungry Lotka-Volterra (dhLV) system is a generalization of the discrete Lotka-Volterra (dLV) system which stands for a prey-predator model in mathematical biology. In this paper, we show an existence of some invariants, which are independent of the discrete time n, expressed by dhLV variables and the asymptotic behavior of dhLV variables as n→∞, Some characteristic polynomials are then factorized with the help of dhLV system. We design an algorithm for computing complex eigenvalues of a certain band matrix.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 18 (3), 409-425, 2008
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
- 1390282680744851200
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- NII Article ID
- 110006935948
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 9664213
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed