Accurate similarity transformation derived from the discrete Lotka-Volterra system for bidiagonal singular values

DOI10.1007/s10092-013-0085-5zbMath1314.65086OpenAlexW2002833655MaRDI QIDQ2017988

Yoshimasa Nakamura, Masashi Iwasaki, Munehiro Nagata

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0085-5

zbMATH Keywords

convergenceiterationsingular valuessimilarity transformationrounding errorQD algorithmdiscrete Lotka-Volterra systemforward stabilitypredator-prey evolution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55) Population dynamics (general) (92D25) Roundoff error (65G50)

Uses Software

• mctoolbox

Cites Work

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• A differential equation approach to the singular value decomposition of bidiagonal matrices
• Accurate singular values and differential qd algorithms
• The discrete Lotka-Volterra system computes singular values
• On the system of non-linear differential equations y_k=y_k(y_k+1-y_k-1)
• Discrete-time Volterra chain and classical orthogonal polynomials
• Conserved Quantities of “Random-Time Toda Equation”
• Accuracy and Stability of Numerical Algorithms
• On the convergence of a solution of the discrete Lotka Volterra system
• An application of the discrete Lotka–Volterra system with variable step-size to singular value computation

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