Discrete Integrable Systems of Hungry Type and Numerical Algorithms for Eigenvalues of Nonsymmetric Matrices : Recent Developments in Integrable Algorithms(Survey,<Special Topics>Activity Group "Applied Integrable Systems")

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  • ハングリー型の離散可積分系と非対称行列の固有値計算 : 可積分アルゴリズムにおける最近の発展(サーベイ,<特集>応用可積分系研究部会)
  • ハングリー型の離散可積分系と非対称行列の固有値計算 : 可積分アルゴリズムにおける最近の発展
  • ハングリーカタ ノ リサン カ セキブンケイ ト ヒタイショウ ギョウレツ ノ コユウチ ケイサン : カ セキブン アルゴリズム ニ オケル サイキン ノ ハッテン

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Some numerical algorithms for computing eigenvalues of nonsymmetric matrix with high accuracy have been recently designed based on the discrete hungry Toda equation and the discrete Lotka-Volterra system which are known as the discrete integrable systems of hungry type. In this paper, not only the process for formulating these algorithms but also the results concerning asymptotic analysis through the center manifold theory, mixed error analysis in floating point arithmetic and shift of origin for accelerating convergence are shortly explained. Backlund transformations between discrete integrable systems of hungry type are also shown.

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