Minor Prime Factorization for n‐D Polynomial Matrices over Arbitrary Coefficient Field Article Swipe

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Jinwang Liu , Dongmei Li , Licui Zheng ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1155/2018/6235649

In this paper, we investigate two classes of multivariate ( n ‐D) polynomial matrices whose coefficient field is arbitrary and the greatest common divisor of maximal order minors satisfy certain condition. Two tractable criterions are presented for the existence of minor prime factorization, which can be realized by programming and complexity computations. On the theory and application, we shall obtain some new and interesting results, giving some constructive computational methods for carrying out the minor prime factorization.

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Minor (academic) Factorization Mathematics Prime factor Prime (order theory) Constructive Greatest common divisor Square-free polynomial Finite field Field (mathematics) Polynomial Factorization of polynomials Irreducible polynomial Computation Combinatorics Discrete mathematics Matrix polynomial Pure mathematics Computer science Algorithm Mathematical analysis Political science Law Operating system Process (computing)

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Type: article
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Landing Page: http://doi.org/10.1155/2018/6235649
PDF: http://downloads.hindawi.com/journals/complexity/2018/6235649.pdf
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Cited By: 2
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Title: Minor Prime Factorization for n‐D Polynomial Matrices over Arbitrary Coefficient Field

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Publication year: 2018

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Authors: Jinwang Liu, Dongmei Li, Licui Zheng

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Landing page: https://doi.org/10.1155/2018/6235649

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Concepts: Minor (academic), Factorization, Mathematics, Prime factor, Prime (order theory), Constructive, Greatest common divisor, Square-free polynomial, Finite field, Field (mathematics), Polynomial, Factorization of polynomials, Irreducible polynomial, Computation, Combinatorics, Discrete mathematics, Matrix polynomial, Pure mathematics, Computer science, Algorithm, Mathematical analysis, Political science, Law, Operating system, Process (computing)

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Cited by: 2

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