Matrix representations of multivalued projections and least squares problems
Maria Laura Arias, Maximiliano Contino, Alejandra Maestripieri and, Stefania Marcantognini
TL;DR
This paper explores matrix representations of multivalued projections to analyze weighted least squares solutions of linear relations, providing a new approach to understanding these mathematical structures.
Contribution
It introduces a matrix representation of multivalued projections relative to the closure of their ranges, advancing the analysis of weighted least squares solutions.
Findings
Matrix representation of multivalued projections developed
Application to weighted least squares solutions demonstrated
Enhanced understanding of linear relations and inclusions achieved
Abstract
Multivalued projections are applied to the study of weighted least squares solutions of linear relations equations (or inclusions) and some of its applications. To this end a matrix representation of multivalued projections with respect to the closure of their ranges is described.
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Taxonomy
TopicsAdvanced Optimization Algorithms Research · Matrix Theory and Algorithms