Semi-continuous quadratic optimization: existence conditions and duality scheme
In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower (upper) semi-continuous objective functions. We show some existence conditions for solutions based on asymptotic techniques, as well as a duali...
Saved in:
| Published in | Journal of global optimization Vol. 63; no. 2; pp. 281 - 295 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.10.2015
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower (upper) semi-continuous objective functions. We show some existence conditions for solutions based on asymptotic techniques, as well as a duality scheme based on the Fenchel–Moreau conjugation specifically applied to semi-continuous problems. Promising results are obtained, when we apply this scheme to minimize quadratic functions (whose Hessians can be symmetric indefinite) over nonempty, closed and convex polyhedral sets. |
|---|---|
| AbstractList | In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower (upper) semi-continuous objective functions. We show some existence conditions for solutions based on asymptotic techniques, as well as a duality scheme based on the Fenchel–Moreau conjugation specifically applied to semi-continuous problems. Promising results are obtained, when we apply this scheme to minimize quadratic functions (whose Hessians can be symmetric indefinite) over nonempty, closed and convex polyhedral sets. |
| Audience | Academic |
| Author | Cotrina, John Sosa, Wilfredo Raupp, Fernanda M. P. |
| Author_xml | – sequence: 1 givenname: John surname: Cotrina fullname: Cotrina, John organization: Universidad del Pacífico – sequence: 2 givenname: Fernanda M. P. surname: Raupp fullname: Raupp, Fernanda M. P. email: fernanda@lncc.br organization: Departamento de Engenharia Industrial, Pontifícia Universidade Católica do Rio de Janeiro, Laboratório Nacional de Computação Científica – sequence: 3 givenname: Wilfredo surname: Sosa fullname: Sosa, Wilfredo organization: Programa de Pós-Graduação em Economia, Universidade Católica de Brasília |
| BookMark | eNp1kc1q3TAQRkVJoDdpH6A7QzfdKJmxrb_uQmibQCCLNmuhK41TBVu6sWxo-vTVxV2UQNFCYjhHzMx3xk5STsTYB4QLBFCXBUEbzQEFhw4k796wHQrV8dagPGE7MK3gAgDfsrNSngDAaNHu2P13miL3OS0xrXktzfPqwuyW6Jt8WOIUf9d3Tp8b-hXLQslTU-EQj8XSuBSasLoxLi9N8T9ponfsdHBjofd_73P28PXLj-sbfnf_7fb66o77XuiFIxnhUJshSNBhb5yjXrbYgzSCJHmFHlWnYdB-2Csx-D4EL9zeeSWFcLI7Z5-2fw9zfl6pLHaKxdM4ukR1DItKtmBED21FP75Cn_I6p9pdpRBRKxC6Uhcb9ehGsjENeZmdryfUBdWRaYi1fqVQ91gXLKqAm-DnXMpMgz3McXLzi0Wwx0zslomtmdhjJrarTrs5pbLpkeZ_Wvmv9AeiGJDs |
| CitedBy_id | crossref_primary_10_1007_s10957_016_0938_6 crossref_primary_10_1007_s10957_020_01759_x crossref_primary_10_1080_02331934_2019_1612893 |
| Cites_doi | 10.1080/02331939508844059 10.1016/S0362-546X(02)00154-2 10.1137/0315022 10.1080/02331934.2010.507273 10.1007/BF00282202 10.1137/0316018 10.1007/s10107-013-0647-y 10.1080/02331934.2010.524217 10.1007/s10107-007-0125-5 10.1016/0362-546X(94)00364-N 10.1137/050647621 10.1023/A:1025512021335 10.1007/978-3-642-02431-3 10.1287/moor.21.4.769 10.1007/0-387-23393-8_6 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media New York 2015 COPYRIGHT 2015 Springer |
| Copyright_xml | – notice: Springer Science+Business Media New York 2015 – notice: COPYRIGHT 2015 Springer |
| DBID | AAYXX CITATION 0U~ 1-H 3V. 7SC 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- L.- L.0 L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PTHSS Q9U |
| DOI | 10.1007/s10898-015-0306-3 |
| DatabaseName | CrossRef Global News & ABI/Inform Professional Trade PRO ProQuest Central (Corporate) Computer and Information Systems Abstracts ABI-INFORM Complete ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Research Library (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central ProQuest Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ABI/INFORM Professional Advanced ABI/INFORM Professional Standard ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database ProQuest Research Library ProQuest Science Journals Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection One Business (ProQuest) ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection Trade PRO ABI/INFORM Complete Global News & ABI/Inform Professional Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition ProQuest One Academic ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ABI/INFORM Professional Standard ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | Computer and Information Systems Abstracts ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics Sciences (General) Computer Science |
| EISSN | 1573-2916 |
| EndPage | 295 |
| ExternalDocumentID | 3804444431 A718413065 10_1007_s10898_015_0306_3 |
| GrantInformation_xml | – fundername: CNPq grantid: 311165/2013-3 |
| GroupedDBID | -52 -57 -5G -BR -EM -Y2 -~C .4S .86 .DC .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 28- 29K 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 78A 7WY 88I 8AO 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYOK AAYQN AAYTO ABBBX ABBXA ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACTTH ACVWB ACWMK ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPOP AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFEXP AFGCZ AFKRA AFLOW AFMKY AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGPAZ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYQZM AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ CAG CCPQU COF CS3 CSCUP D-I DDRTE DL5 DNIVK DPUIP DU5 DWQXO EBLON EBS EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GUQSH GXS HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IAO IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P62 P9M PF0 PQBIZ PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SBE SCLPG SDD SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW VH1 W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z81 Z83 Z86 Z88 Z8M Z8N Z8S Z8T Z8U Z8W Z92 ZMTXR ZWQNP ZY4 ~EX AACDK AAEOY AAJBT AASML AAYXX ABAKF ACAOD ACDTI ACZOJ AEARS AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION H13 ITC PQBZA 0U~ 1-H 7SC 7XB 8AL 8FD 8FK JQ2 L.- L.0 L7M L~C L~D MBDVC PQEST PQUKI Q9U |
| ID | FETCH-LOGICAL-c458t-1e95a189fd608db9aae462140695e6ec71c17380f8cfb75fc4ddc5abac7655a63 |
| IEDL.DBID | AGYKE |
| ISSN | 0925-5001 |
| IngestDate | Fri Aug 16 23:25:54 EDT 2024 Thu Oct 10 19:30:44 EDT 2024 Fri Feb 02 04:17:45 EST 2024 Thu Sep 26 18:04:18 EDT 2024 Sat Dec 16 12:03:02 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | 90C20 Semi-continuous optimization 90C46 Existence conditions Fenchel–Moreau conjugation 90C26 Duality scheme |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c458t-1e95a189fd608db9aae462140695e6ec71c17380f8cfb75fc4ddc5abac7655a63 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1711187058 |
| PQPubID | 29930 |
| PageCount | 15 |
| ParticipantIDs | proquest_miscellaneous_1762095402 proquest_journals_1711187058 gale_infotracacademiconefile_A718413065 crossref_primary_10_1007_s10898_015_0306_3 springer_journals_10_1007_s10898_015_0306_3 |
| PublicationCentury | 2000 |
| PublicationDate | 2015-10-01 |
| PublicationDateYYYYMMDD | 2015-10-01 |
| PublicationDate_xml | – month: 10 year: 2015 text: 2015-10-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York – name: Dordrecht |
| PublicationSubtitle | An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering |
| PublicationTitle | Journal of global optimization |
| PublicationTitleAbbrev | J Glob Optim |
| PublicationYear | 2015 |
| Publisher | Springer US Springer Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer – name: Springer Nature B.V |
| References | Flores-BazanFCarcamoGA geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraintsMath. Program. Ser. A201414526329006309336320768910.1007/s10107-013-0647-y Crouzeix, J.P., Ocana, E., Sosa, W.: Análisis Convexo, Monografias del IMCA 33 (in Spanish) (2003) LeeGMTamNNYenNDPardalosPMQuadratic programming and affine variational inequalities: a qualitative studyNonconvex Optimization and its Applications2005 New YorkSpringer BurachikRSRubinovAAbstract convexity and augmented LagrangiansSIAM J. Optim.2007184134361190.90134233844510.1137/050647621 IusemANKassayGSosaWAn existence result for equilibrium problems with some surjectivity consequencesJ. Convex Anal.2009168078261200.901642583897 MoreauJ-JInf-convolution, sous-additivité, convexité des fonctions numériquesJ. Math. Pure Appl.1970491091540195.49502288602 Martínez-Legaz, J.E.: Generalized convex duality and its economic applications. In: Handbook of Generalized Convexity and Generalized Monotonicity, vol. 76, Nonconvex Optimization Application, pp. 237–292. Springer, New York (2005) AuslenderATeboulleMAsymptotic Cones and Functions in Optimization and Variational Inequalities2003BerlinSpringer1017.49001 RockafellarRTConvex Analysis, Princeton Mathematical Series, No. 281970PrincetonPrinceton University Press CotrinaJKarasEWRibeiroAASosaWYuanJYFenchel–Moreau conjugation for lower semi-continuous functionsOptimization201160104510571257.90071286029110.1080/02331934.2010.507273 AdlerSGoelevenDThéraMRecession mappings and noncoercive variational inequalitiesNonlinear Anal. Theory Methods Appl.1996261573160310.1016/0362-546X(94)00364-N AuslenderANoncoercive optimization problemsMath. Oper. Res.1996217697820868.90090141990110.1287/moor.21.4.769 SvaiterBFA new duality theory for mathematical programmingOptimization201160120912311242.49074286030110.1080/02331934.2010.524217 BaiocchiCButtazoGGastaldiFTomarelliFGeneral existence theorem for unilateral problems in continuum mechanicsArch. Ration. Mech. Anal.19881001491890646.7301110.1007/BF00282202 BertsekasDNedicAOzdaglarAEConvex Analysis and Optimization2003BelmontAthena Scientific1140.90001 Flores-BazánFOn a notion of subdifferentiability for non-convex functionsOptimization199533180831.49017133315110.1080/02331939508844059 BalderEJAn extension of duality–stability relations to nonconvex optimization problemsSIAM J. Control Optim.1977153293430366.9010345269410.1137/0315022 IusemANSosaWNew existence results for equilibrium problemsNonlinear Anal. Theory Methods Appl.2003526216351017.49008193836610.1016/S0362-546X(02)00154-2 DoleckiSKurcyuszSOn Φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varPhi $$\end{document}-convexity in extremal problems SIAMJ. Control Optim.1978162773000397.4601347939410.1137/0316018 Rockafellar, R.T., Wets, R.J.-B.: Variational Analysis, vol. 317 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer, Berlin (1998) IusemANKassayGSosaWOn certain conditions for the existence of solutions of equilibrium problemsMath. Program. Ser. B20091162592731158.90009242128110.1007/s10107-007-0125-5 A Auslender (306_CR1) 2003 C Baiocchi (306_CR5) 1988; 100 J Cotrina (306_CR12) 2011; 60 RT Rockafellar (306_CR2) 1970 A Auslender (306_CR4) 1996; 21 AN Iusem (306_CR6) 2003; 52 EJ Balder (306_CR14) 1977; 15 S Adler (306_CR3) 1996; 26 306_CR9 F Flores-Bazan (306_CR21) 2014; 145 AN Iusem (306_CR19) 2009; 116 306_CR10 BF Svaiter (306_CR11) 2011; 60 S Dolecki (306_CR16) 1978; 16 GM Lee (306_CR7) 2005 F Flores-Bazán (306_CR17) 1995; 33 J-J Moreau (306_CR13) 1970; 49 RS Burachik (306_CR15) 2007; 18 306_CR18 D Bertsekas (306_CR8) 2003 AN Iusem (306_CR20) 2009; 16 |
| References_xml | – volume: 49 start-page: 109 year: 1970 ident: 306_CR13 publication-title: J. Math. Pure Appl. contributor: fullname: J-J Moreau – volume: 33 start-page: 1 year: 1995 ident: 306_CR17 publication-title: Optimization doi: 10.1080/02331939508844059 contributor: fullname: F Flores-Bazán – volume: 52 start-page: 621 year: 2003 ident: 306_CR6 publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/S0362-546X(02)00154-2 contributor: fullname: AN Iusem – volume: 15 start-page: 329 year: 1977 ident: 306_CR14 publication-title: SIAM J. Control Optim. doi: 10.1137/0315022 contributor: fullname: EJ Balder – volume: 60 start-page: 1045 year: 2011 ident: 306_CR12 publication-title: Optimization doi: 10.1080/02331934.2010.507273 contributor: fullname: J Cotrina – volume: 100 start-page: 149 year: 1988 ident: 306_CR5 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00282202 contributor: fullname: C Baiocchi – volume-title: Asymptotic Cones and Functions in Optimization and Variational Inequalities year: 2003 ident: 306_CR1 contributor: fullname: A Auslender – volume: 16 start-page: 277 year: 1978 ident: 306_CR16 publication-title: J. Control Optim. doi: 10.1137/0316018 contributor: fullname: S Dolecki – volume: 16 start-page: 807 year: 2009 ident: 306_CR20 publication-title: J. Convex Anal. contributor: fullname: AN Iusem – volume-title: Nonconvex Optimization and its Applications year: 2005 ident: 306_CR7 contributor: fullname: GM Lee – volume: 145 start-page: 263 year: 2014 ident: 306_CR21 publication-title: Math. Program. Ser. A doi: 10.1007/s10107-013-0647-y contributor: fullname: F Flores-Bazan – volume: 60 start-page: 1209 year: 2011 ident: 306_CR11 publication-title: Optimization doi: 10.1080/02331934.2010.524217 contributor: fullname: BF Svaiter – volume: 116 start-page: 259 year: 2009 ident: 306_CR19 publication-title: Math. Program. Ser. B doi: 10.1007/s10107-007-0125-5 contributor: fullname: AN Iusem – volume: 26 start-page: 1573 year: 1996 ident: 306_CR3 publication-title: Nonlinear Anal. Theory Methods Appl. doi: 10.1016/0362-546X(94)00364-N contributor: fullname: S Adler – volume-title: Convex Analysis and Optimization year: 2003 ident: 306_CR8 contributor: fullname: D Bertsekas – volume: 18 start-page: 413 year: 2007 ident: 306_CR15 publication-title: SIAM J. Optim. doi: 10.1137/050647621 contributor: fullname: RS Burachik – volume-title: Convex Analysis, Princeton Mathematical Series, No. 28 year: 1970 ident: 306_CR2 contributor: fullname: RT Rockafellar – ident: 306_CR9 doi: 10.1023/A:1025512021335 – ident: 306_CR18 doi: 10.1007/978-3-642-02431-3 – volume: 21 start-page: 769 year: 1996 ident: 306_CR4 publication-title: Math. Oper. Res. doi: 10.1287/moor.21.4.769 contributor: fullname: A Auslender – ident: 306_CR10 doi: 10.1007/0-387-23393-8_6 |
| SSID | ssj0009852 |
| Score | 2.1584077 |
| Snippet | In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower... |
| SourceID | proquest gale crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 281 |
| SubjectTerms | Asymptotic methods Asymptotic properties Computer Science Conjugation Constraints Mathematical models Mathematics Mathematics and Statistics Maximization Minimization Operations Research/Decision Theory Optimization Optimization techniques Quadratic equations Real Functions Recessions Studies Symmetry |
| SummonAdditionalLinks | – databaseName: AUTh Library subscriptions: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1JaxRBFH5octGDmBixY5QSBBOlsLda2otESRgExxAzkFtRW0MO05NkZg7-e9_rqc5MFD13dVfzvbXqbQBvvddl1DJw7VTF6xBK7pwquQyO5lpVOvTJmN_HcjSpv12Ky3ThNk9plYNO7BV1mHm6I_9YqIImY-dCf76-4TQ1iqKraYTGQ9gui5rCtNtfTsZn5-u2u7qfuZM3peACNfIQ11wVz2kqLysEJ7-ZV_cs05_6-a9AaW9_Tp_Ck-Q4suMVpXfgQex24fFGO8Fd2EmCOmeHqZv00TP48TNOrzhlpF91Szzms5ulDUR2z2aoLqapDvMTo56YvQPNcHFYZXIx2wUW-rrLXwzPwXEa92ByenLxdcTTFAXua6EXvIiNsIVu2iBzHVxjbawlopXLRkQZvSp8oSqdt9q3TonWI8G8sM56JYWwsnoOW92siy-A1S6oSD6S8rGufa7x7SY4XYY8oqlvM3g_IGiuV80yzLotMsFtEG5DcJsqg3eEsSFBWtxab1M9AG5FLanMMVpNsrBSZHAwkMEkCZubNT9k8ObuMcoGBTxsFxFQXCNLdCHxiJzBh4F8G5_416_t_3_Dl_CoJLbpU_oOYGtxu4yv0DVZuNeJ_34DeLLghA priority: 102 providerName: ProQuest |
| Title | Semi-continuous quadratic optimization: existence conditions and duality scheme |
| URI | https://link.springer.com/article/10.1007/s10898-015-0306-3 https://www.proquest.com/docview/1711187058 https://search.proquest.com/docview/1762095402 |
| Volume | 63 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Zb9NAEB616Qs80DaAMD20SEhc2sjXHuYtRUkrUAsCIpUnay9LVRWH1vYD_HpmHTtNKTz0ybK9vubaWc_MNwAvjZGxk9xSqUVCU2tjqrWIKbfa97VKpG2TMU_P-Mks_XjOzjcgXv26KC9HfUSyNdRrtW7SV4NFjHo3lyabsMU83tcAtsbHPz5NbqB2ZdtnJ8xiRhla4T6W-a-b3JqN_rbJd4Kj7Zwz3V7WAVYtVKFPNbkcNbUemd93gRzv8Tk78KhzQcl4KTO7sOHKIWz37R1Ip-1DeLiGVYh7pyuA12oIu92oirzugKvfPIbP39z8gvrk94uyWTQVuWqU9RJmyAIt07wr-XxPPPxm66sTHGyXSWNElZbYtsTzF8Elt5u7JzCbTr5_OKFdwwZqUiZrGrmMqUhmheWhtDpTyqUceRTyjDnujIhMJBIZFtIUWrDCoGwYprQygjOmePIUBuWidM-ApNoK590xYVyamlDi1ZnVMrahQ6-iCOBtz7j85xKXI79BYPa0zZG2uadtngTwyrM29zpbXyujutIDfJRHv8rHOEH7yZyzAPZ77uedMld5JCLflD1kMoAXq9Oohj62okqHBMUxPEZvFVfjAbzrOb52i_-92vN7jd6DB7EXmTaZcB8G9XXjDtApqvUhbMrp8WGnC7g9mpx9-YpHZ_H4D2CSBd8 |
| link.rule.ids | 315,786,790,12792,21416,27955,27956,33406,33407,33777,33778,41114,41556,42183,42625,43633,43838,52144,52267,74390,74657 |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LTxRBEK4oHpSDEdQwitImJL7SYV79GC-GEJYVAQ9Cwq3Tr0k47Cywuwf_vVWzPS5q9Dw905N6d1fVVwC73usyahm4dqridQgld06VXAZHc60qHfpizNMzOb6ojy_FZbpwm6WyysEm9oY6TD3dke8VqqDJ2LnQn69vOE2NouxqGqFxHx7UlaxIzvXoaAW6q_uJO3lTCi7QHg9ZzWXrnKbmskJwipp59Ztf-tM6_5Um7b3P6Ak8TmEj21_yeQPuxW4T1u-ACW7CRlLTGXuXsKTfP4Vv3-PkilM9-lW3wEM-u1nYQEz3bIrGYpK6MD8xQsTsw2eGi8OyjovZLrDQd13-YHgKjpP4DC5Gh-cHY55mKHBfCz3nRWyELXTTBpnr4BprYy3LgvpdRZTRq8IXqtJ5q33rlGg9sssL66xXUggrq-ew1k27uAWsdkFFipCUj3Xtc41vN8HpMuQRHX2bwYeBguZ6CZVhVqDIRG6D5DZEblNl8JZobEiN5rfW29QNgFsRIJXZR59J_lWKDLYHNpikXzOzkoYM3vx6jJpB6Q7bRSQorpElBpB4QM7g48C-O5_416-9-P-GO_BwfH56Yk6-nH19CY9KEqG-uG8b1ua3i_gKg5S5e91L4k9RRuIL |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LTxRBEK4oJkYPRFDDCGqTkPhKh3n1Y7gQoq6AiiZKwq3Tr0k47Cywuwf-PVWzPS5q9Dw93ZN699RXVQA73usyahm4dqridQgld06VXAZHc60qHXow5tcTeXhaH5-Js4R_miZY5WATe0MdJp7-ke8WqqDJ2LnQu22CRXz_MNq_uOQ0QYoyrWmcxl24R0E2jXHQo0_LBry6n76TN6XgAm3zkOFclNFpKjQrBKcImle_-ag_LfVfKdPeE40ewWoKIdnBgudrcCd26_DwVmPBdVhLKjtlr1Nf6TeP4duPOD7nhE0_7-Z44WeXcxtIADyboOEYp4rMPUbdMftQmuHisMB0MdsFFvoKzGuGN-I4jk_gdPTx5_tDnuYpcF8LPeNFbIQtdNMGmevgGmtjLcuCal9FlNGrwheq0nmrfeuUaD2yzgvrrFdSCCurp7DSTbq4Aax2QUWKlpSPde1zjW83weky5BGdfpvB24GC5mLRNsMsGyQTuQ2S2xC5TZXBK6KxIZWaXVlvU2UAHkXNqcwB-k_ytVJksDWwwSRdm5qlZGSw_esxagmlPmwXkaC4RpYYTOJlOYN3A_tubfGvT3v2_wNfwn0UQvPl6OTzJjwoSYJ6nN8WrMyu5vE5xisz96IXxBv9LOZA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Semi-continuous+quadratic+optimization%3A+existence+conditions+and+duality+scheme&rft.jtitle=Journal+of+global+optimization&rft.au=Cotrina%2C+John&rft.au=Raupp%2C+Fernanda+M.+P.&rft.au=Sosa%2C+Wilfredo&rft.date=2015-10-01&rft.issn=0925-5001&rft.eissn=1573-2916&rft.volume=63&rft.issue=2&rft.spage=281&rft.epage=295&rft_id=info:doi/10.1007%2Fs10898-015-0306-3&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10898_015_0306_3 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0925-5001&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0925-5001&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0925-5001&client=summon |