On the Kronecker canonical form of mixed matrix pencils
On the Kronecker canonical form of mixed matrix pencils
复制标题
混合矩阵铅笔的克罗内克规范形式
DOI：
10.1137/100783315
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发表时间：
2011
影响因子：
1.5
通讯作者：
S. Iwata and M. Takamatsu
中科院分区：
文献类型：
--
作者：
山際謙太;片岡哲志;泉聡志;酒井信介;S. Iwata and M. Takamatsu
混合矩阵束是具有两种非零系数的矩阵束：说明守恒律的固定常数和表示物理特性的独立参数。本文利用拟阵刻画了混合矩阵束的Kronecker标准形的幂零性指数。作为一个副产品，这提供了一个算法，用于计算平方混合矩阵的幂积的秩。
A mixed matrix pencil is a matrix pencil with two kinds of nonzero coefficients: fixed constants that account for conservation laws and independent parameters that represent physical characteristics. In this paper, the indices of nilpotency of the Kronecker canonical form for a mixed matrix pencil are characterized in terms of matroids. As a byproduct, this provides an algorithm for computing the rank of a power product of a square mixed matrix.