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Rules for Computer Simplification of the Formulas in Operator Model Theory and Linear Systems

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Nonselfadjoint Operators and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 73))

Abstract

This article formulates and treats questions in operator theory arising from computer simplification of formulas commonly found in the study of operator models. Operator model theory originated with Moshe Livsic and subsequently became one of the main branches of operator theory. In studying a particular operator model polynomials in certain expressions occur repeatedly. This makes it a natural area for exploring computer algebra simplification.

Research on this paper was supported in part by the Air Force Office of Scientific Research and the National Science Foundation.

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References

  1. B. Buchberger “Grobner bases: an algorithmic method in polynomial ideal theory” Recent Trends in multidimensional system theory, Reidel (1985) pp 184–232.

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A. Feintuch I. Gohberg

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Dedicated to Moshe Livsic on the occasion of his 70th birthday

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© 1994 Springer Basel AG

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Helton, J.W., Wavrik, J.J. (1994). Rules for Computer Simplification of the Formulas in Operator Model Theory and Linear Systems. In: Feintuch, A., Gohberg, I. (eds) Nonselfadjoint Operators and Related Topics. Operator Theory: Advances and Applications, vol 73. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8522-5_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8522-5_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9663-4

  • Online ISBN: 978-3-0348-8522-5

  • eBook Packages: Springer Book Archive

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