Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries

DOI10.1007/BF03167215zbMath0802.65045OpenAlexW1985857653MaRDI QIDQ1325135

Takuya Kitamoto

Publication date: 4 July 1994

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167215

zbMATH Keywords

performancealgorithmsconvergenceerror estimateseigenvalueseigenvectorsmatrix inversiontruncated Taylor seriespolynomial matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Direct numerical methods for linear systems and matrix inversion (65F05) Matrices over function rings in one or more variables (15A54)

Related Items (2)

A study of approximate polynomials. I: Representation and arithmetic ⋮ On computation of a power series root with arbitrary degree of convergence

Cites Work

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• Approximate factorization of multivariate polynomials and absolute irreducibility testing
• Three new algorithms for multivariate polynomial GCD
• Solving multivariate algebraic equation by Hensel construction
• All Algebraic Functions Can Be Computed Fast
• Centralizers of C 1 -Diffeomorphisms

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