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Differential qd algorithm for totally nonnegative Hessenberg matrices: introduction of origin shifts and relationship with the discrete hungry Lotka-Volterra system

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Publication:2843136
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DOI10.14495/jsiaml.2.69zbMath1271.65069OpenAlexW1984113362MaRDI QIDQ2843136

Takeshi Fukaya, Yusaku Yamamoto

Publication date: 9 August 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jsiaml&kijiCd=2_0_69&screenID=AF06S010&noVol=2&noIssue=0


zbMATH Keywords

eigenvaluenumerical experimentsHessenberg matrixqd algorithmtotally nonnegativeorigin shift


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (4)

Box and ball system with numbered boxes ⋮ Lusztig factorization dynamics of the full Kostant-Toda lattices ⋮ A Bäcklund transformation between two integrable discrete hungry systems ⋮ Discrete relativistic Toda equation from the perspective of shifted \(LR\) transformation






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