n元多项式矩阵有MLP分解的新判别算法

刘金旺,陈彬,陈小松

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (8) : 957-963.

PDF(266 KB)
PDF(266 KB)
系统科学与数学 ›› 2012, Vol. 32 ›› Issue (8) : 957-963. DOI: 10.12341/jssms11970
论文

n元多项式矩阵有MLP分解的新判别算法

    刘金旺1,陈彬1,陈小松2
作者信息 +

A NEW DECISION ALGORITHM FOR MLP FACTORIZATION OF n-D POLYNOMIAL MATRIX

    LIU Jinwang1, CHEN Bin1,CHEN Xiaosong2
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摘要

基于Lin-Bose 猜想,研究l×m阶矩阵MLP分解问题,利用l×m阶矩阵的2×2级子式、矩阵的元素来刻画矩阵MLP分解的条件,得到一些有趣的结果,并给出多元多项式矩阵有MLP分解的新判别算法.

Abstract

On the basis of the Lin-Bose conjecture, this paper studies the MLP factor-ization of the l × m matrix. By using the 2 × 2 minors and the element of the l × m matrix,the conditions for the MLP factorization of matrix are described, and some interesting re- sults are given. Finally, a new algorithm to decide whether n-D polynomial matrix have MLP factorization is given.

关键词

n维多项式矩阵 / 矩阵分解 / 矩阵Lin-Bose问题 / 既约子式.

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刘金旺,陈彬,陈小松. n元多项式矩阵有MLP分解的新判别算法. 系统科学与数学, 2012, 32(8): 957-963. https://doi.org/10.12341/jssms11970
LIU Jinwang, CHEN Bin,CHEN Xiaosong. A NEW DECISION ALGORITHM FOR MLP FACTORIZATION OF n-D POLYNOMIAL MATRIX. Journal of Systems Science and Mathematical Sciences, 2012, 32(8): 957-963 https://doi.org/10.12341/jssms11970
中图分类号: 11C20   
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