Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras

被引：19

作者：

Gowda, M. Seetharama ^{[1
]}

Sznajder, Roman ^{[2
]}

机构：

[1] Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA

[2] Bowie State Univ, Dept Math, Bowie, MD 20715 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 06期

关键词：

Schur complement; Schur determinantal formula; Haynsworth inertia formula; Quaternions; Octonions; Euclidean Jordan algebras; SYMMETRIC CONES; TRANSFORMATIONS;

D O I：

10.1016/j.laa.2009.11.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the concept of Schur complement in the setting of Euclidean Jordan algebras and describe Schur determinantal and Haynsworth inertia formulas. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1553 / 1559

页数：7

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