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Vandermonde and resultant matrices: An abstract approach

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Abstract

We propose an abstract approach to the problems of common divisors and common multiples of rational matrix functions which (in the case of matrix polynomials) have been studied before using Vandermonde and resultant matrices.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 92093, San Diego, La Jolla, CA, USA

    J. William Helton

  2. Department of Mathematics, Arizona State University, 85287, Tempe, AZ, USA

    Leiba Rodman

  3. School of Mathematical Sciences, Tel-Aviv University, 69978, Tel-Aviv, Israel

    Leiba Rodman

Authors
  1. J. William Helton
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  2. Leiba Rodman
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Additional information

Supported in part by the Office of Naval Research, Air Force Office of Scientific Research, and the National Science Foundation.

The work of this author was partially supported by an NSF grant and was carried out while visiting the University of California, San Diego.

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Helton, J.W., Rodman, L. Vandermonde and resultant matrices: An abstract approach. Math. Systems Theory 20, 169–192 (1987). https://doi.org/10.1007/BF01692064

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  • DOI: https://doi.org/10.1007/BF01692064

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