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Cyclicity of polynomial systems

E. Lee, A.W. Olbrot, Stanisław H. Żak

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Abstract

Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial type transformations.

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What this paper is about

Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial type transformations.

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Available abstract

Results on cyclicity for systems defined over commutative polynomial rings are presented. This involves tests for cyclicity of polynomial matrices as well as an algorithm to obtain the companion form of a matrix using polynomial type transformations.

Key concepts: Matrix polynomial, Polynomial, Polynomial matrix, Companion matrix, Mathematics, Stable polynomial, Reciprocal polynomial, Alternating polynomial

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