Bundle methods for nonsmooth DC optimization

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dc.contributor.authorKaisa Joki
dc.contributor.authorAdil M. Bagirov
dc.contributor.organizationfi=sovellettu matematiikka|en=Applied mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.48078768388
dc.converis.publication-id50377315
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/50377315
dc.date.accessioned2025-08-28T01:20:27Z
dc.date.available2025-08-28T01:20:27Z
dc.description.abstract<p>This chapter is devoted to algorithms for solving nonsmooth unconstrained difference of convex optimization problems. Different types of stationarity conditions are discussed and the relationship between sets of different stationary points (critical, Clarke stationary and inf-stationary) is established. Bundle methods are developed based on a nonconvex piecewise linear model of the objective function and the convergence of these methods is studied. Numerical results are presented to demonstrate the performance of the methods.<br></p>
dc.description.edition1
dc.format.pagerange263
dc.format.pagerange296
dc.identifier.eisbn978-3-030-34910-3
dc.identifier.isbn978-3-030-34909-7
dc.identifier.olddbid207409
dc.identifier.oldhandle10024/190436
dc.identifier.urihttps://www.utupub.fi/handle/11111/51237
dc.identifier.urnURN:NBN:fi-fe2021042612436
dc.language.isoen
dc.okm.affiliatedauthorJoki, Kaisa
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA3 Book
dc.publisherSpringer
dc.publisher.countrySwitzerlanden_GB
dc.publisher.countrySveitsifi_FI
dc.publisher.country-codeCH
dc.publisher.isbn978-81-322;978-3-540;978-3-642;978-3-662;978-3-7908;978-3-8274;978-3-8347;978-90-481;978-94-007;978-94-009;978-94-010;978-94-011;978-94-015;978-94-017;978-94-024;978-0-387;978-0-8176;978-1-4419;978-1-4612;978-1-4613;978-1-4614;978-1-4615;978-1-4684;978-1-4757;978-1-4899;978-1-4939;978-1-5041;978-3-319;978-1-4020;978-0-85729;978-1-4471;978-1-84628;978-1-84800;978-1-84882;978-1-84996;978-1-85233;978-3-211;978-3-7091;978-4-431;978-3-322;978-3-409;978-3-531;978-3-658;978-3-663;978-3-8100;978-981-287;978-981-10;978-981-13;978-3-030;978-981-32;978-981-15;978-981-16;978-981-329;978-981-334;978-981-336;978-3-031;978-981-19;
dc.relation.doi10.1007/978-3-030-34910-3_8
dc.source.identifierhttps://www.utupub.fi/handle/10024/190436
dc.titleBundle methods for nonsmooth DC optimization
dc.title.bookNumerical Nonsmooth Optimization: State of the Art Algorithms
dc.year.issued2020

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