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The Matrix Quadratic Equation and Factorization of Matrix Polynomials

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The Gohberg Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 40/41))

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Abstract

In this paper explicit connections are established between the problem of determining solutions of matrix quadratic equations and the factorization problem for matrix polynomials. It is shown that an adequate connecting link between the two problems is provided by the Bezout matrix of a quadruple of matrix polynomials.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technion - Israel Institute of Technology, Haifa, 32 000, Israel

    L. Lerer

Authors
  1. L. Lerer
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Vrije Universiteit, Amsterdam, The Netherlands

    H. Dym , S. Goldberg , M. A. Kaashoek  & P. Lancaster , ,  & 

Additional information

Dedicated to Professor I. Gohberg on his sixtieth birthday, with admiration and affection.

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© 1989 Birkhäuser Verlag Basel

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Lerer, L. (1989). The Matrix Quadratic Equation and Factorization of Matrix Polynomials. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_10

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  • DOI: https://doi.org/10.1007/978-3-0348-9144-8_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9924-6

  • Online ISBN: 978-3-0348-9144-8

  • eBook Packages: Springer Book Archive

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