Convergence acceleration of shifted \(LR\) transformations for totally nonnegative Hessenberg matrices.

DOI10.21136/AM.2020.0378-19OpenAlexW3087888411MaRDI QIDQ2216230

Masashi Iwasaki, Emiko Ishiwata, Yusaku Yamamoto, Yoshimasa Nakamura, Akiko Fukuda

Publication date: 15 December 2020

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2020.0378-19

zbMATH Keywords

convergence ratetotally nonnegative matrix\(LR\) transformationNewton shift

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes

Uses Software

• LAPACK

Cites Work

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• Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation
• Accurate singular values and differential qd algorithms
• On a shifted \(LR\) transformation derived from the discrete hungry Toda equation
• Integrable discrete hungry systems and their related matrix eigenvalues
• Rational QR transformation with Newton shift for symmetric tridiagonal matrices
• Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix
• Matrix Analysis
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
• Interlacing inequalities for totally nonnegative matrices

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