Affine projections
type: Item
instance of: scholarly article
title: Affine projections
zbMATH Open document ID: 1075.15004
publication date: 2005-03-08T00:00:00Z
review text: Using the Moore-Penrose pseudoinverse of a matrix (a reference is \textit{C. D. Meyer}'s book [Matrix analysis and applied linear algebra (2000; Zbl 0962.15001)]), the authors construct projections of a vector on affine subspaces of a vector space. Some formulas for projecting onto intersections and sums of subspaces are also given. Some comparison formulas with the vectorial projections are considered. There are also a lot of examples illustrating the theory.
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2142455
zbMATH Keywords: affine subspaces
zbMATH Keywords: projections
zbMATH Keywords: Moore-Penrose pseudoinverse
author: R. Piziak
author: P. L. Odell
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.07.001
OpenAlex ID: W2914577376
cites work: Saddle points of Hamiltonian systems in convex problems of Lagrange
cites work: Q4861427
cites work: Q4485695
cites work: Simultaneous diagonalization of rectangular matrices
cites work: Q4061081
cites work: Q5645536
cites work: Q3207128
cites work: Q4230824
cites work: Q4716820
cites work: Constructing projections on sums and intersections
cites work: Q5732018
DOI: 10.1016/J.CAMWA.2004.07.001
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2142455