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	foaf:primaryTopic <https://pure.iiasa.ac.at/id/eprint/13623>;
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<https://pure.iiasa.ac.at/id/eprint/13623/>
	dc:format "text/html";
	dc:title "HTML Summary of #13623 \n\nA parallel computing scheme for minimizing a class of large scale functions\n\n";
	foaf:primaryTopic <https://pure.iiasa.ac.at/id/eprint/13623> .

<https://pure.iiasa.ac.at/id/eprint/13623>
	bibo:abstract "This paper gives a parallel computing scheme for minimizing a twice continuously differentiable function with the form ƒf(x) = ∑i = 1mƒi(xi) + ∑i = 1m∑j = 1(j > i)m ƒij(xi, xj),where x = (xT1,…,xTm)T and xi ∈ Rni, ∑mi = 1ni = n, and n a very big number. It is proved that we may use m parallel processors and an iterative procedure to find a minimizer of ƒ(x). The convergence and convergence rate are given under some conditions. The conditions for finding a global minimizer of ƒ(x by using this scheme are given, too. A similar scheme can also be used parallelly to solve a large scale system of nonlinear equations in the similar way. A more general case is also investigated."^^xsd:string;
	bibo:authorList <https://pure.iiasa.ac.at/id/eprint/13623#authors>;
	bibo:issue "3";
	bibo:status <http://purl.org/ontology/bibo/status/peerReviewed>,
		<http://purl.org/ontology/bibo/status/published>;
	bibo:volume "30";
	dct:creator <https://pure.iiasa.ac.at/id/person/ext-AL1639>;
	dct:date "1989-04";
	dct:isPartOf <https://pure.iiasa.ac.at/id/repository>,
		<https://pure.iiasa.ac.at/id/publication/ext-00963003>;
	dct:publisher <https://pure.iiasa.ac.at/id/org/ext-f308aad1ef8f70546c3a197f104f2ad5>;
	dct:title "A parallel computing scheme for minimizing a class of large scale functions"^^xsd:string;
	owl:sameAs <https://doi.org/10.1016/0096-3003(89)90055-6>;
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		ep:EPrint;
	rdfs:seeAlso <https://pure.iiasa.ac.at/id/eprint/13623/> .

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	foaf:name "Elsevier"^^xsd:string;
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<https://pure.iiasa.ac.at/id/person/ext-AL1639>
	foaf:familyName "Ge"^^xsd:string;
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<https://pure.iiasa.ac.at/id/publication/ext-00963003>
	bibo:issn "00963003";
	foaf:name "Applied Mathematics and Computation"^^xsd:string;
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