The spectral decomposition of a covariance matrix for the balanced mixed analysis of variance model

[ X ]

Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We derive the spectral decomposition of a covariance matrix for the balanced mixed analysis of variance model. The derivation is based on determining the distinct eigenvalues of a covariance matrix and then obtaining a principal idempotent matrix for each distinct eigenvalue. Examples are given to illustrate the results. (C) 2011 Elsevier Inc. All rights reserved.

Açıklama

Anahtar Kelimeler

Mixed analysis of variance model, Covariance matrix, Eigenvalue and eigenvector, Spectral decomposition of a symmetric matrix

Kaynak

Linear Algebra and Its Applications

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

436

Sayı

9

Künye