On the Generic Rank of Matrices Composed of Kronecker Products

被引：1

作者：

Stefonishin, D. A. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

[2] Russian Acad Sci, Inst Numer Math, Moscow 119333, Russia

来源：

DOKLADY MATHEMATICS | 2018年 / 97卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1134/S1064562418020060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we study the generic ranks of special matrix-valued maps defined by certain systems of parameters via Kronecker products. We introduce the notions of minimal superabundant, balanced and reducible systems. The main result of the paper is a theorem for maps with minimal superabundant systems of parameters. For such systems it associates the value of the generic rank with the balancedness. The proof of this theorem is based on a reduction by the parameters and consists of verifying the fact of reducibility.

引用

页码：125 / 128

页数：4