English

Restricted Linear Constrained Minimization of quadratic functionals

Optimization and Control 2010-09-20 v1

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.

Keywords

Cite

@article{arxiv.1009.3356,
  title  = {Restricted Linear Constrained Minimization of quadratic functionals},
  author = {Dimitrios Pappas},
  journal= {arXiv preprint arXiv:1009.3356},
  year   = {2010}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-21T16:15:14.521Z