A finite-step construction of totally nonnegative matrices with specified eigenvalues

DOI10.1007/s11075-015-9957-xzbMath1334.65074OpenAlexW2086231554MaRDI QIDQ891777

Koichi Kondo, Masashi Iwasaki, Hisayoshi Tsutsumi, Yoshimasa Nakamura, Kanae Akaiwa

Publication date: 17 November 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-9957-x

zbMATH Keywords

algorithmnumerical exampleinverse eigenvalue problemdiscrete hungry Toda equationbanded totally nonnegative matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Positive matrices and their generalizations; cones of matrices (15B48) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (3)

Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes ⋮ An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues ⋮ Unnamed Item

Uses Software

• gmp

Cites Work

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• On a shifted \(LR\) transformation derived from the discrete hungry Toda equation
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• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• Bidiagonal Factorizations of Totally Nonnegative Matrices
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
• Totally positive matrices

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