Restricted Linear Constrained Minimization of quadratic functionals

2010/09/17 by Dimitrios Pappas, Pappas, Dimitrios
Computer Science · Mathematics · #15A09 #47A05 #47N10 #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC #msc:15A09 #msc:47A05 #msc:47N10

paper · pdf · doi:10.48550/arxiv.1009.3356

14 pages, 2 figures

arxiv created 2010/09/17 · openalex publication_date 2010/09/17 · arxiv updated 2010/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work a linearly constrained minimization of a positive semidefinite quadratic functional is examined. Our results are concerning infinite dimensional real Hilbert spaces, with a singular positive operator related to the functional, and considering as constraint a singular operator. The difference between the proposed minimization and previous work on this problem, is that it is considered for all vectors perpendicular to the kernel of the related operator or matrix.

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