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

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

Book Chapter10.1007/978-3-0348-8522-5_12

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

J. William Helton,John J. Wavrik-1994-01-01-Birkhäuser Basel eBooks

17

TL;DRAbstract

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.

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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.

Keywords

Operator (biology)Algebra over a fieldBitwise operationComputer scienceShift operatorMathematicsOperator algebraSemi-elliptic operator

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