Symbolic computations of the solution of simultaneous equation, the determinant and the eigen polynomial of a large scaled sparse matrix in terms of the discrete Toda equation(Applied Integrable Systems, <Special Issue>Joint Symposium of JSIAM Activity Groups 2005)
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- Kimura Kinji
- Faculty of Mathematics, Kyushu University
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- Noro Masayuki
- Department of Mathematics, Kobe University
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- Tsujimoto Satoshi
- Graduate School of Informatics, Kyoto University
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- Nakamura Yoshimasa
- Graduate School of Informatics, Kyoto University
Bibliographic Information
- Other Title
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- 離散戸田方程式を用いた大規模疎行列の連立一次方程式, 行列式, 固有多項式の計算法(応用可積分系, <特集>平成17年研究部会連合発表会)
- 離散戸田方程式を用いた大規模疎行列の連立一次方程式,行列式,固有多項式の計算法
- リサン トダ ホウテイシキ オ モチイタ ダイキボソギョウレツ ノ レンリツ 1ジ ホウテイシキ ギョウレツシキ コユウ タコウシキ ノ ケイサンホウ
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Abstract
A new method for constructing the minimum polynomial for the symbolic computation in terms of the discrete Toda equation is proposed. For the sparse matrices, the proposed method is efficiently carried out on a finite field arithmetic avoiding the division by zero. As a consequence, this paper presents new methods for the symbolic computation of the solution of simultaneous equation, the determinant and the eigen polynomial of a large scaled sparse 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 15 (3), 307-322, 2005
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
- 1390001205767848320
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- NII Article ID
- 110001900188
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 7683336
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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