Positivity of block tridiagonal matrices

被引：10
|
作者：
Bohner, M
Dosly, O
机构：
[1] San Diego State Univ, Dept Math, San Diego, CA 92182 USA
[2] Masaryk Univ, Dept Math, CZ-66295 Brno, Czech Republic
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1998年 / 20卷 / 01期
关键词：
linear Hamiltonian difference system; Sturm-Liouville difference equation; block tridiagonal matrix; discrete quadratic functional;
D O I：
10.1137/S0895479897318794
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper relates disconjugacy of linear Hamiltonian difference systems (LHdS) (and hence positive definiteness of certain discrete quadratic functionals) to positive definiteness of some block tridiagonal matrices associated with these systems and functionals. As a special case of a Hamiltonian system, Sturm-Liouville difference equations are considered, and analogous results are obtained for these important objects.
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页码：182 / 195
页数：14
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