Sufficient conditions for positive definiteness of tridiagonal matrices revisited

被引：25

作者：

Andelic, Milica ^{[2
]}

da Fonseca, C. M. ^{[1
]}

机构：

[1] Univ Coimbra, Dept Math, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

POSITIVITY | 2011年 / 15卷 / 01期

关键词：

Chain sequences; Wall-Wetzel theorem; Tridiagonal matrix; Positive definite matrix; ORTHOGONAL POLYNOMIALS; ZEROS;

D O I：

10.1007/s11117-010-0047-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review several sufficient conditions for the positive definiteness of a tridiagonal matrix and propose a different approach to the problem, recalling and comprising little-known results on chain sequences.

引用

页码：155 / 159

页数：5

共 12 条

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