Existence of Solutions for Linear Moment Problems

The Cimmino algorithm is an iterative projection method for finding almost common points of measur- able families of closed convex sets in a Hilbert space. It produces weak approximations of solutions for Fred- holm equations of the first kind provided that solu- tions exist. We obtain an existence...

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Bibliographic Details
Main Authors:	Dan Butnariu, Benzion Shklyar
Format:	Article
Language:	English
Published:	International Institute of Informatics and Cybernetics 2007-12-01
Series:	Journal of Systemics, Cybernetics and Informatics
Subjects:	eigenvalue of a linear operator almost common point discrete linear moment problem Cimmino type algorithm Fredholm equation of the first kind Gram matrix
Online Access:	http://www.iiisci.org/Journal/CV$/sci/pdfs/S400VBB.pdf

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spelling	doaj-97f4c93cfae948ceaaebeb23e969123c2020-11-24T22:39:57ZengInternational Institute of Informatics and CyberneticsJournal of Systemics, Cybernetics and Informatics1690-45242007-12-015697100Existence of Solutions for Linear Moment ProblemsDan Butnariu0Benzion Shklyar1 Department of Mathematics, Haifa University Department of Applied Mathematics, Holon Institute of Technology The Cimmino algorithm is an iterative projection method for finding almost common points of measur- able families of closed convex sets in a Hilbert space. It produces weak approximations of solutions for Fred- holm equations of the first kind provided that solu- tions exist. We obtain an existence criterion for so- lutions of a linear moment of problem considered as Fredholm equation of the first kind and show that if this problems has a solution, then the Cimmino algo- rithm generate norm approximations of such solutions.http://www.iiisci.org/Journal/CV$/sci/pdfs/S400VBB.pdf eigenvalue of a linear operatoralmost common pointdiscrete linear moment problemCimmino type algorithmFredholm equation of the first kindGram matrix
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dan Butnariu Benzion Shklyar
spellingShingle	Dan Butnariu Benzion Shklyar Existence of Solutions for Linear Moment Problems Journal of Systemics, Cybernetics and Informatics eigenvalue of a linear operator almost common point discrete linear moment problem Cimmino type algorithm Fredholm equation of the first kind Gram matrix
author_facet	Dan Butnariu Benzion Shklyar
author_sort	Dan Butnariu
title	Existence of Solutions for Linear Moment Problems
title_short	Existence of Solutions for Linear Moment Problems
title_full	Existence of Solutions for Linear Moment Problems
title_fullStr	Existence of Solutions for Linear Moment Problems
title_full_unstemmed	Existence of Solutions for Linear Moment Problems
title_sort	existence of solutions for linear moment problems
publisher	International Institute of Informatics and Cybernetics
series	Journal of Systemics, Cybernetics and Informatics
issn	1690-4524
publishDate	2007-12-01
description	The Cimmino algorithm is an iterative projection method for finding almost common points of measur- able families of closed convex sets in a Hilbert space. It produces weak approximations of solutions for Fred- holm equations of the first kind provided that solu- tions exist. We obtain an existence criterion for so- lutions of a linear moment of problem considered as Fredholm equation of the first kind and show that if this problems has a solution, then the Cimmino algo- rithm generate norm approximations of such solutions.
topic	eigenvalue of a linear operator almost common point discrete linear moment problem Cimmino type algorithm Fredholm equation of the first kind Gram matrix
url	http://www.iiisci.org/Journal/CV$/sci/pdfs/S400VBB.pdf
work_keys_str_mv	AT danbutnariu existenceofsolutionsforlinearmomentproblems AT benzionshklyar existenceofsolutionsforlinearmomentproblems
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Existence of Solutions for Linear Moment Problems

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