Rational functions, Toda flows, and LR-like algorithms

DOI10.1016/0024-3795(94)90209-7zbMath0819.93018OpenAlexW2001114210MaRDI QIDQ1329983

Leonid Faybusovich

Publication date: 15 August 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90209-7

zbMATH Keywords

rational functionsrealization theoryToda flowsLR algorithmsMose-Rutishauser map

Mathematics Subject Classification ID

Related Items (2)

Toda hierarchy with indefinite metric ⋮ Toda lattices with indefinite metric. II: Topology of the iso-spectral manifolds

Cites Work

• Convergence of algorithms of decomposition type for the eigenvalue problem
• Toda flows, inverse spectral transform and realization theory
• The geometry of matrix eigenvalue methods
• The solution to a generalized Toda lattice and representation theory
• Functional models in linear algebra
• Variétés de drapeaux et réseaux de Toda. (Flag manifolds and Toda lattices)
• Matrix interpretations and applications of the continued fraction algorithm
• On Whittaker vectors and representation theory
• Accurate singular values and differential qd algorithms
• Der Quotienten-Differenzen-Algorithmus
• Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus
• On the Global Convergence of the Toda Lattice for Real Normal Matrices and Its Applications to the Eigenvalue Problem
• On Rutishauser’s Approach to Self-Similar Flows
• The toda flow on a generic orbit is integrable
• Toda Flows and Isospectral Manifolds
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• The Development and Use of Methods of LR Type
• On a companion operator for analytic functions
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