Ordering of nonnegative definite matrices with application to comparison of linear models
type: Item
instance of: scholarly article
title: Ordering of nonnegative definite matrices with application to comparison of linear models
zbMATH Open document ID: 0578.15019
DOI: 10.1016/0024-3795(85)90043-6
author: Czesław Stępniak
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: Several necessary and sufficient conditions are given in terms of generalized inverses that two real nonnegative definite matrices \(M_ 1\) and \(M_ 2\) satisfy \(M_ 1\geq M_ 2\). The results are applied to comparison of statistical linear models.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 62B15
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 3925017
zbMATH Keywords: generalized inverses
zbMATH Keywords: real nonnegative definite matrices
zbMATH Keywords: comparison of statistical linear models
reviewed by: Tage Bai Andersen
MaRDI profile type: Publication
full work available at URL: 0024-3795(85)90043-6
OpenAlex ID: W2125627487
cites work: Q5556138
cites work: Q5645536
cites work: Q3915844
cites work: Comparison of linear experiments with known covariances
cites work: Orderings of linear models
cites work: On some ordering properties of the generalized inverses of nonnegative definite matrices
description: scientific article; zbMATH DE number 3925017