TOTAL POSITIVITY, QR FACTORIZATION, AND NEVILLE ELIMINATION

被引：49

作者：

GASCA, M

PENA, JM

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1993年 / 14卷 / 04期

关键词：

TOTAL POSITIVITY; MATRIX FACTORIZATION;

D O I：

10.1137/0614077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A well-known characterization of nonsingular totally positive matrices is improved: Only the sign of minors with consecutive initial rows or consecutive initial columns has to be checked. On the other hand, a new characterization of such matrices by their QR factorization is obtained. As in other recent papers of the authors, Neville elimination plays an essential role.

引用

页码：1132 / 1140

页数：9

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