On the regularity of matrices with uniform polynomial entries

被引：0
|
作者：
Klinker, Frank [1 ]
Reineke, Christoph [1 ]
机构：
[1] TU Dortmund Univ, Fac Math, D-44221 Dortmund, Germany
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 01期
关键词：
Matrix with polynomial entries; Generalized Vandermonde matrix; Schur polynomial;
D O I：
10.1007/s40863-017-0084-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this text the regularity of matrices with special polynomial entries is studied. Up to some mild conditions it is shown that these matrices are regular if a natural limit size is not exceeded. The proof draws connections to generalized Vandermonde matrices and Schur polynomials that are discussed in detail.
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页码：370 / 379
页数：10
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