All about the ⊥ with its applications in the linear statistical models-Reference-Cited by-同舟云学术

All about the ⊥ with its applications in the linear statistical models

Published:2015-01-01 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Markiewicz Augustyn¹,Puntanen Simo²

Affiliation:

1. 1Department of Mathematical and Statistical Methods, Pozna´n University of Life Sciences, Wojska Polskiego 28, PL-60637 Poznan, Poland

2. 2School of Information Sciences, FI-33014 University of Tampere, Finland

Abstract

Abstract For an n x m real matrix A the matrix A⊥ is defined as a matrix spanning the orthocomplement of the column space of A, when the orthogonality is defined with respect to the standard inner product ⟨x, y⟩ = x'y. In this paper we collect together various properties of the ⊥ operation and its applications in linear statistical models. Results covering the more general inner products are also considered. We also provide a rather extensive list of references

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0005/pdf

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