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Matrix pairs whose product is equal to a linear combination and their polynomial representation(线性组合与积相等矩阵对及其多项式表示)
- Source :
- Zhejiang Daxue xuebao. Lixue ban, Vol 42, Iss 3, Pp 261-267 (2015)
- Publication Year :
- 2015
- Publisher :
- Zhejiang University Press, 2015.
-
Abstract
- 讨论线性组合与积相等矩阵对A和B（即满足aA + bB =AB）的特征值及其Jordan标准形，通过A和B的最小多项式得到这对矩阵互相表示的多项式对u(x)和v(x)（即满足B=u(A)，A=v(B))的通式表达，并证明了次数最低的表示多项式的唯一性.同时给出了线性组合与积相等矩阵对的最小多项式的相互确定关系，以及不需利用特征值或Jordan标准形求这对矩阵的次数最低表示多项式的算法.
Details
- Language :
- Chinese
- ISSN :
- 10089497
- Volume :
- 42
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Zhejiang Daxue xuebao. Lixue ban
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.62ab6394ca1242a093aae31706459003
- Document Type :
- article
- Full Text :
- https://doi.org/10.3785/j.issn.1008-9497.2015.03.003