@prefix epid: .
@prefix void: .
@prefix xsd: .
@prefix cc: .
@prefix ep: .
@prefix eprel: .
@prefix doi: .
@prefix dc: .
@prefix bibo: .
@prefix geo: .
@prefix owl: .
@prefix event: .
@prefix skos: .
@prefix foaf: .
@prefix rdfs: .
@prefix rdf: .
@prefix dct: .
<>
foaf:primaryTopic ;
rdfs:comment "The repository administrator has not yet configured an RDF license."^^xsd:string .
dct:hasPart ;
ep:hasFile ;
rdf:type bibo:Document,
ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Text)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isIndexCodesVersionOf ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
eprel:islightboxThumbnailVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
eprel:ispreviewThumbnailVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
eprel:ismediumThumbnailVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
eprel:issmallThumbnailVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
dct:hasPart ;
ep:hasFile ;
eprel:isCoversheetVersionOf ;
eprel:isVersionOf ;
eprel:isVolatileVersionOf ;
rdf:type ep:Document;
rdfs:label "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights (Other)"^^xsd:string .
rdf:_1 .
rdfs:label "WP-94-013.pdf"^^xsd:string .
rdfs:label "indexcodes.txt"^^xsd:string .
rdfs:label "lightbox.jpg"^^xsd:string .
rdfs:label "preview.jpg"^^xsd:string .
rdfs:label "medium.jpg"^^xsd:string .
rdfs:label "small.jpg"^^xsd:string .
rdfs:label "WP-94-013.pdf"^^xsd:string .
dc:format "text/html";
dc:title "HTML Summary of #4196 \n\nA Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights\n\n";
foaf:primaryTopic .
bibo:abstract "We give a bundle method for minimizing a (possibly nondifferentiable and nonconvex) function h(z) = sum_{i=1}^m p_i(x) f_i(x) over a closed convex set in R^n, where p_i are nonnegative and smooth and f_i are finite-valued convex. Such functions arise in certain stochastic programming problems and scenario analysis. The method finds search directions via quadratic programming, using a polyhedral model of h that involves current linearizations of p_i and polyhedral models of f_i based on their accumulated subgradients. We show that the method is globally convergent to stationary points of h. The method exploits the structure of h and hence seems more promising than general-purpose bundle methods for nonconvex minimization."^^xsd:string;
bibo:authorList ;
bibo:status ;
dct:creator ;
dct:date "1994-03";
dct:isPartOf ;
dct:publisher ;
dct:title "A Bundle of Method for Minimizing a Sum of Convex Functions with Smooth Weights"^^xsd:string;
ep:hasDocument ,
,
,
,
,
,
;
rdf:type bibo:Article,
bibo:Manuscript,
ep:EPrint,
ep:MonographEPrint;
rdfs:seeAlso .
foaf:name "WP-94-013"^^xsd:string;
rdf:type foaf:Organization .
foaf:familyName "Kiwiel"^^xsd:string;
foaf:givenName "K."^^xsd:string;
foaf:name "K. Kiwiel"^^xsd:string;
rdf:type foaf:Person .