Infinite networks and quadratic optimal control
type: Item
instance of: scholarly article
title: Infinite networks and quadratic optimal control
zbMATH Open document ID: 0703.93010
DOI: 10.1007/BF01236455
author: T. D. Morley
author: William N. jun. Anderson
author: George E. Trapp
published in: Circuits, Systems, and Signal Processing
publication date: 1990-01-01T00:00:00Z
review text: This paper is devoted to the study of so called shorted operators (i.e. generalized Schur complements) for positive semidefinite (PSD) operators in Hilbert space. Cascade sums and cascade limits of PSD operators are studied. All those objects are introduced in equivalent form as solutions of some quadratic programming problems in Hilbert space. The interrelations with infinite electrical networks are accented.
reviewed by: Z.Wyderka
Mathematics Subject Classification ID: 93A99
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 4154292
zbMATH Keywords: geometric mean of operators
zbMATH Keywords: shorted operators
zbMATH Keywords: generalized Schur complements
zbMATH Keywords: positive semidefinite (PSD) operators
zbMATH Keywords: quadratic programming problems
zbMATH Keywords: infinite electrical networks
MaRDI profile type: Publication
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cites work: Shorted Operators. II
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cites work: Hermitian semidefinite matrix means and related matrix inequalities—an introduction
full work available at URL: https://doi.org/10.1007/bf01236455
OpenAlex ID: W2010667832
description: scientific article; zbMATH DE number 4154292