Minor Prime Factorization for n-D Polynomial Matrices over Arbitrary Coefficient Field. (8th October 2018)

• Record Type: Journal Article
• Authors: Liu, Jinwang; Li, Dongmei; Zheng, Licui
• Other Names: Martínez Eulalia Academic Editor.
• Is Part Of: Complexity. Volume 2018(2018)
• Publication Date: 2018-10-08
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2018/6235649
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.