Lin-Bose问题的进一步研究

刘金旺;陈斌

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (11) : 1535-1539.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (11) : 1535-1539. DOI: 10.12341/jssms09424
论文

Lin-Bose问题的进一步研究

    刘金旺, 陈斌
作者信息 +

Further Research on the Lin-Bose Problem

    LIU Jinwang, CHEN Bin
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文章历史 +

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l1阶子式、l2阶子式来刻画矩阵MLP分解的条件, 得到的一些结果推广了Lin-Bose猜想中的某些结果.

Abstract

On the basis of the Lin-Bose Conjecture, this paper studies the MLP factorization
of the l×m matrix. By the use of l1 minors and l2 minors of l×m matrix,the conditions for the MLP factorization of matrix are given, and some results in the Lin-Bose Conjecture are generalized.

关键词

n维多项式矩阵 / 矩阵分解 / Lin-Bose问题 / 既约子式.

Key words

n-dimensional polynomial matrix / matrix factorization / Lin-Bose Problem / reduced minor.

引用本文

导出引用
刘金旺 , 陈斌. Lin-Bose问题的进一步研究. 系统科学与数学, 2010, 30(11): 1535-1539. https://doi.org/10.12341/jssms09424
LIU Jinwang , CHEN Bin. Further Research on the Lin-Bose Problem. Journal of Systems Science and Mathematical Sciences, 2010, 30(11): 1535-1539 https://doi.org/10.12341/jssms09424
中图分类号: 68Q40   
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