Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis

DOI10.14495/jsiaml.1.56zbMath1278.65043OpenAlexW1984595341MaRDI QIDQ2858149

Yusaku Yamamoto, Takeshi Fukaya

Publication date: 19 November 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=1_0_56&screenID=AF06S010&noVol=1&noIssue=0

zbMATH Keywords

convergenceeigenvaluenumerical exampleserror analysisdifferential \(qd\) algorithmtotally nonnegative band matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48)

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An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues ⋮ Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system ⋮ Integrable discrete hungry systems and their related matrix eigenvalues ⋮ Unnamed Item ⋮ Unnamed Item

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