A simple proof of the generalized Craig-Sakamoto theorem

被引：5

作者：

Zhang, Jin ^{[1
]}

Yi, Jikun ^{[2
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China

[2] Yunnan Univ, Coll Continued Educ, Kunming 650091, Yunnan, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 03期

关键词：

Eigenvalues; Independence; Quadratic forms; Symmetric matrices;

D O I：

10.1016/j.laa.2012.02.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Craig-Sakamoto theorem establishes the independence of two quadratic forms in normal variates. In this article, we provide a simple proof of a generalized Craig-Sakamoto theorem. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：781 / 782

页数：2

共 50 条

[1] A simple proof of the Craig-Sakamoto theorem
Li, CK
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 321 (1-3) : 281 - 283
[2] One more simple proof of the Craig-Sakamoto theorem
Carrieu, Herve
Lassere, Patrice
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1616 - 1619
[3] A determinantal proof of the Craig-Sakamoto theorem
Olkin, I
LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 264 : 217 - 223
[4] Close to the Craig-Sakamoto's theorem
Carrieu, Herve
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (2-3) : 777 - 779
[5] A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras
Tao, J.
Wang, Guoqiang
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 : 134 - 145
[6] On the Craig-Sakamoto theorem and Olkin's determinantal result
Matsuura, M
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 364 : 321 - 323
[7] Craig-Sakamoto's theorem for the Wishart distributions on symmetric cones
Letac, G
Massam, H
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1995, 47 (04) : 785 - 799
[8] Craig-Sakamoto's theorem for the Wishart distributions on symmetric cones
Letac, G.
Massam, H.
Institute of Statistical Mathematics. Annals, 1995, 47 (04): : 785 - 799
[9] Further results on the Craig-Sakamoto equation
Maroulas, John
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2008, 17 : 445 - 457
[10] Further results on the Craig-Sakamoto equation
Maroulas, John
World Congress on Engineering 2007, Vols 1 and 2, 2007, : 828 - 829

← 1 2 3 4 5 →