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

Author:

Kitamoto Takuya

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Reference13 articles.

1. [Bre 86] C. Brezinski, Error estimate in Pade approximation. Lecture Notes in Math., Vol. 1329, 1986, 1–19.

2. [EPA] G.A. Baker, Jr., Essentials of Pade Approximants. Academic Press, New York, 1975.

3. [Kit 93] T. Kitamoto, Application of approximate algebraic computation to optimal andH ∞ control (in Japanese). Submitted to Transactions of the Society of Instrument and Control Engineers, 1993.

4. [KT 78] H.T. Kung and J.F. Traub, All algebraic functions can be computed fast. J. Assoc. Comput. Mach.,25 (1978), 245–260.

5. [ONS 91] M. Ochi, M-T. Noda and T. Sasaki, Approximate GCD of multivariate polynomials and application to ill-conditioned algebraic equation. J. Inform. Process.,14 (1991), 293–300.

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2. On computation of a power series root with arbitrary degree of convergence;Japan Journal of Industrial and Applied Mathematics;2008-10

3. A study of approximate polynomials, I —Representation and arithmetic—;Japan Journal of Industrial and Applied Mathematics;1995-02

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