First- and Second-Order Optimality Conditions for Quadratically Constrained Quadratic Programming Problems

We consider a quadratic programming problem with quadratic cone constraints and an additional geometric constraint. Under suitable assumptions, we establish necessary and sufficient conditions for optimality of a KKT point and, in particular, we characterize optimality by using strong duality as a r...

Full description

Saved in:
Bibliographic Details
Published in:Journal of optimization theory and applications Vol. 193; no. 1-3; pp. 118 - 138
Main Authors: Flores-Bazán, Fabián, Mastroeni, Giandomenico
Format: Journal Article
Language:English
Published: New York Springer US 01.06.2022
Springer Nature B.V
Subjects:
Applications of Mathematics
Calculus of Variations and Optimal Control; Optimization
Engineering
Geometric constraints
Hessian matrices
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Quadratic equations
Quadratic programming
Theory of Computation
90C20
Duality
Quadratic optimization
90C46
Karush–Kuhn–Tucker conditions
ISSN:0022-3239, 1573-2878
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract We consider a quadratic programming problem with quadratic cone constraints and an additional geometric constraint. Under suitable assumptions, we establish necessary and sufficient conditions for optimality of a KKT point and, in particular, we characterize optimality by using strong duality as a regularity condition. We consider in details the case where the feasible set is defined by two quadratic equality constraints and, finally, we analyse simultaneous diagonalizable quadratic problems, where the Hessian matrices of the involved quadratic functions are all diagonalizable by means of the same orthonormal matrix.
AbstractList We consider a quadratic programming problem with quadratic cone constraints and an additional geometric constraint. Under suitable assumptions, we establish necessary and sufficient conditions for optimality of a KKT point and, in particular, we characterize optimality by using strong duality as a regularity condition. We consider in details the case where the feasible set is defined by two quadratic equality constraints and, finally, we analyse simultaneous diagonalizable quadratic problems, where the Hessian matrices of the involved quadratic functions are all diagonalizable by means of the same orthonormal matrix.
Author Flores-Bazán, Fabián
Mastroeni, Giandomenico
Author_xml – sequence: 1
  givenname: Fabián
  surname: Flores-Bazán
  fullname: Flores-Bazán, Fabián
  organization: Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción
– sequence: 2
  givenname: Giandomenico
  orcidid: 0000-0002-3848-1554
  surname: Mastroeni
  fullname: Mastroeni, Giandomenico
  email: giandomenico.mastroeni@unipi.it
  organization: Department of Computer Science, University of Pisa
BookMark eNp9kM9LwzAUgIMouE3_AU8Fz9XkpW2SowynwmCKeg5Zko6MNp1Jdth_b7sKAw875Afvve-95JuiS995i9AdwQ8EY_YYCRYlyzFAv4adXKAJKRnNgTN-iSZ4CFKg4hpNY9xijAVnxQRtFy7ElGfKm-zT6s6bfBWMDdlql1yrGpcO2byPuuQ6H7O6C9nHXpmgktOqaY7JmIJy3ppTJnsP3SaotnV-M9zXjW3jDbqqVRPt7d85Q9-L56_5a75cvbzNn5a5phVNueZ2bXRpMLBKUyMIFJorbqwiFkxdWoJLWjFbUOAUwBRGCYBKCF0rUKykM3Q_9t2F7mdvY5Lbbh98P1JCVRVASkFJXwVjlQ5djMHWchf6D4eDJFgOTuXoVPbi5NGpHCD-D9IuqUHNoKA5j9IRjf0cv7Hh9Koz1C-xbI6f
CitedBy_id crossref_primary_10_3390_drones8070340
crossref_primary_10_1080_02331934_2024_2335948
crossref_primary_10_1007_s10957_024_02526_y
crossref_primary_10_1007_s11117_024_01091_y
Cites_doi 10.1080/02331934.2015.1083019
10.1007/s10957-011-9930-3
10.1007/s10107-013-0710-8
10.1007/s10107-016-1078-3
10.1515/9781400873173
10.1137/07070601X
10.1007/BF00935321
10.1007/s10898-009-9518-8
10.1002/0471787779
10.1016/j.orl.2014.12.002
10.1007/s10898-011-9660-y
10.1007/s10898-018-0607-4
10.1007/BF02193096
10.1007/s10898-009-9445-8
10.1137/1.9781611971255
10.1007/0-387-28020-0
ContentType Journal Article
Copyright The Author(s) 2022. corrected publication 2022
The Author(s) 2022. corrected publication 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s) 2022. corrected publication 2022
– notice: The Author(s) 2022. corrected publication 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID C6C
AAYXX
CITATION
3V.
7SC
7TB
7WY
7WZ
7XB
87Z
88I
8AO
8FD
8FE
8FG
8FK
8FL
8G5
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BEZIV
BGLVJ
CCPQU
DWQXO
FR3
FRNLG
F~G
GNUQQ
GUQSH
HCIFZ
JQ2
K60
K6~
K7-
KR7
L.-
L6V
L7M
L~C
L~D
M0C
M2O
M2P
M7S
MBDVC
P5Z
P62
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOI 10.1007/s10957-022-02022-1
DatabaseName Springer Nature OA Free Journals
CrossRef
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ProQuest ABI/INFORM Collection
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Global (Alumni Edition)
Science 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)
Materials Science & Engineering Collection
ProQuest Central (Alumni Edition)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials
ProQuest Central
Business Premium Collection
Technology Collection
ProQuest One Community College
ProQuest Central Korea
Engineering Research Database
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
Research Library Prep
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Computer Science Database
Civil Engineering Abstracts
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
ABI/INFORM Global
ProQuest Research Library
Science Database
Engineering Database
Research Library (Corporate)
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest One Academic Middle East (New)
ProQuest One Business
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
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
ProQuest Central China
ABI/INFORM Complete
ProQuest One Applied & Life Sciences
ProQuest Central (New)
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
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Central (Alumni Edition)
ProQuest One Community College
Research Library (Alumni Edition)
ProQuest Pharma Collection
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Central Korea
ProQuest Research Library
Advanced Technologies Database with Aerospace
ABI/INFORM Complete (Alumni Edition)
Civil Engineering Abstracts
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
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 CrossRef

ProQuest Business Collection (Alumni Edition)
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Mathematics
EISSN 1573-2878
EndPage 138
ExternalDocumentID 10_1007_s10957_022_02022_1
GrantInformation_xml – fundername: ANID-Chile through FONDECYT 121-2004
  grantid: ACE210010 and Basal FB210005
GroupedDBID -52
-5D
-5G
-BR
-EM
-Y2
-~C
-~X
.4S
.86
.DC
.VR
06D
0R~
0VY
199
1N0
1SB
2.D
203
28-
29L
2J2
2JN
2JY
2KG
2KM
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
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABBXA
ABDPE
ABDZT
ABECU
ABFTV
ABHLI
ABHQN
ABJCF
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTAH
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACGOD
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACZOJ
ADHHG
ADHIR
ADINQ
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AFBBN
AFEXP
AFGCZ
AFKRA
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AI.
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARCSS
ARMRJ
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
AZQEC
B-.
BA0
BAPOH
BBWZM
BDATZ
BENPR
BEZIV
BGLVJ
BGNMA
BPHCQ
BSONS
C6C
CAG
CCPQU
COF
CS3
CSCUP
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
GROUPED_ABI_INFORM_RESEARCH
GUQSH
GXS
H13
HCIFZ
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
H~9
I-F
I09
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
M2O
M2P
M4Y
M7S
MA-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O93
O9G
O9I
O9J
OAM
OVD
P19
P2P
P62
P9R
PF0
PKN
PQBIZ
PQBZA
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
SCLPG
SDD
SDH
SDM
SHX
SISQX
SJYHP
SMT
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TEORI
TN5
TSG
TSK
TSV
TUC
TUS
TWZ
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
VH1
VOH
W23
W48
WH7
WK8
YLTOR
YQT
Z45
Z7R
Z7S
Z7U
Z7X
Z7Y
Z7Z
Z81
Z83
Z86
Z88
Z8M
Z8N
Z8R
Z8S
Z8T
Z8U
Z8W
Z92
ZCG
ZMTXR
ZWQNP
ZY4
~EX
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ABRTQ
ACSTC
ADHKG
ADXHL
AEZWR
AFDZB
AFFHD
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
AMVHM
ATHPR
AYFIA
CITATION
PHGZM
PHGZT
PQGLB
7SC
7TB
7XB
8FD
8FK
FR3
JQ2
KR7
L.-
L7M
L~C
L~D
MBDVC
PKEHL
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c363t-c8ebdc5d0276c3d9124c8a8dea1e2df5e105367e4328322d4da922699cfa2a753
IEDL.DBID RSV
ISICitedReferencesCount 5
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000777351400001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0022-3239
IngestDate Wed Nov 05 00:36:46 EST 2025
Tue Nov 18 22:25:28 EST 2025
Sat Nov 29 06:02:31 EST 2025
Fri Feb 21 02:44:54 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1-3
Keywords 90C20
Duality
Quadratic optimization
90C46
Karush–Kuhn–Tucker conditions
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c363t-c8ebdc5d0276c3d9124c8a8dea1e2df5e105367e4328322d4da922699cfa2a753
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-3848-1554
OpenAccessLink https://link.springer.com/10.1007/s10957-022-02022-1
PQID 2664215931
PQPubID 48247
PageCount 21
ParticipantIDs proquest_journals_2664215931
crossref_primary_10_1007_s10957_022_02022_1
crossref_citationtrail_10_1007_s10957_022_02022_1
springer_journals_10_1007_s10957_022_02022_1
PublicationCentury 2000
PublicationDate 20220600
2022-06-00
20220601
PublicationDateYYYYMMDD 2022-06-01
PublicationDate_xml – month: 6
  year: 2022
  text: 20220600
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle Journal of optimization theory and applications
PublicationTitleAbbrev J Optim Theory Appl
PublicationYear 2022
Publisher Springer US
Springer Nature B.V
Publisher_xml – name: Springer US
– name: Springer Nature B.V
References Flores-Bazán, Mastroeni (CR8) 2013; 23
Ai, Zhang (CR1) 2009; 19
Di, Poliquin (CR6) 1994; 81
Giannessi (CR11) 2005
Bomze (CR4) 2015; 65
Jeyakumar, Li (CR13) 2011; 49
CR16
Flores-Bazán, Mastroeni (CR9) 2015; 25
Giannessi (CR10) 1984; 42
Zheng, Sun, Li, Xu (CR20) 2011; 52
Ben-Tal, den Hertog (CR3) 2014; 143
Bazaraa, Sherali, Shetty (CR2) 2006
Horst, Pardalos (CR12) 1995
Locatelli (CR15) 2015; 43
Li (CR14) 2012; 152
Peng, Yuan (CR18) 1997; 7
Mastroeni (CR17) 2010; 46
Bomze, Jeyakumar, Li (CR5) 2018; 56
Flores-Bazán, Cárcamo (CR7) 2018; 168
Rockafellar (CR19) 1970
F Giannessi (2022_CR10) 1984; 42
I Bomze (2022_CR5) 2018; 56
V Jeyakumar (2022_CR13) 2011; 49
JM Peng (2022_CR18) 1997; 7
MS Bazaraa (2022_CR2) 2006
IM Bomze (2022_CR4) 2015; 65
F Flores-Bazán (2022_CR9) 2015; 25
F Flores-Bazán (2022_CR8) 2013; 23
(2022_CR12) 1995
F Flores-Bazán (2022_CR7) 2018; 168
2022_CR16
G Li (2022_CR14) 2012; 152
RT Rockafellar (2022_CR19) 1970
G Mastroeni (2022_CR17) 2010; 46
M Locatelli (2022_CR15) 2015; 43
XJ Zheng (2022_CR20) 2011; 52
W Ai (2022_CR1) 2009; 19
F Giannessi (2022_CR11) 2005
A Ben-Tal (2022_CR3) 2014; 143
S Di (2022_CR6) 1994; 81
References_xml – volume: 65
  start-page: 779
  issue: 4
  year: 2015
  end-page: 795
  ident: CR4
  article-title: Copositivity for second-order optimality conditions in general smooth optimization problems
  publication-title: Optimization
  doi: 10.1080/02331934.2015.1083019
– volume: 23
  start-page: 153
  year: 2013
  end-page: 169
  ident: CR8
  article-title: Strong duality in cone constrained nonconvex optimization, SIAM
  publication-title: J. Optim.
– year: 2005
  ident: CR11
  publication-title: Constrained Optimization and Image Space Analysis.
– volume: 152
  start-page: 710
  year: 2012
  end-page: 726
  ident: CR14
  article-title: Global quadratic optimization over bivalent constraints: necessary and sufficient global optimality conditions
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/s10957-011-9930-3
– volume: 143
  start-page: 1
  year: 2014
  end-page: 29
  ident: CR3
  article-title: Hidden conic quadratic representation of some nonconvex quadratic optimization problems
  publication-title: Math. Program.
  doi: 10.1007/s10107-013-0710-8
– volume: 168
  start-page: 369
  year: 2018
  end-page: 400
  ident: CR7
  article-title: Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraints
  publication-title: Math. Program.
  doi: 10.1007/s10107-016-1078-3
– ident: CR16
– year: 1970
  ident: CR19
  publication-title: Convex analysis
  doi: 10.1515/9781400873173
– volume: 19
  start-page: 1735
  year: 2009
  end-page: 1756
  ident: CR1
  article-title: Strong duality for the CDT subproblem: a necessary and sufficient condition
  publication-title: SIAM J. Optim.
  doi: 10.1137/07070601X
– volume: 25
  start-page: 647
  year: 2015
  end-page: 676
  ident: CR9
  article-title: Characterizing FJ and KKT points in nonconvex mathematical programming with applications, SIAM
  publication-title: J. Optim.
– volume: 7
  start-page: 579
  year: 1997
  end-page: 594
  ident: CR18
  article-title: Optimality conditions for the minimization of a quadratic with two quadratic constraints, SIAM
  publication-title: J. Optim.
– volume: 42
  start-page: 331
  year: 1984
  end-page: 365
  ident: CR10
  article-title: Theorems of the alternative and optimality conditions
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/BF00935321
– volume: 49
  start-page: 1
  year: 2011
  end-page: 14
  ident: CR13
  article-title: Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems
  publication-title: J. Glob. Optim.
  doi: 10.1007/s10898-009-9518-8
– year: 2006
  ident: CR2
  publication-title: Nonlinear programming, theory and algorithms
  doi: 10.1002/0471787779
– volume: 43
  start-page: 126
  year: 2015
  end-page: 131
  ident: CR15
  article-title: Some results for quadratic problems with one or two quadratic constraints
  publication-title: Op. Res. Letters
  doi: 10.1016/j.orl.2014.12.002
– volume: 52
  start-page: 229
  year: 2011
  end-page: 242
  ident: CR20
  article-title: On zero duality gap in nonconvex quadratic programming problems
  publication-title: J. Global Optim.
  doi: 10.1007/s10898-011-9660-y
– volume: 56
  start-page: 551
  issue: 2
  year: 2018
  end-page: 569
  ident: CR5
  article-title: Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations
  publication-title: J. Glob. Optim.
  doi: 10.1007/s10898-018-0607-4
– volume: 81
  start-page: 469
  issue: 3
  year: 1994
  end-page: 478
  ident: CR6
  article-title: Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/BF02193096
– year: 1995
  ident: CR12
  publication-title: Handbook of Global Optimization, Nonconvex Optimization and Its Applications.
– volume: 46
  start-page: 603
  year: 2010
  end-page: 614
  ident: CR17
  article-title: Some applications of the image space analysis to the duality theory for constrained extremum problems
  publication-title: J. Global Optim.
  doi: 10.1007/s10898-009-9445-8
– ident: 2022_CR16
  doi: 10.1137/1.9781611971255
– volume: 7
  start-page: 579
  year: 1997
  ident: 2022_CR18
  publication-title: J. Optim.
– volume: 81
  start-page: 469
  issue: 3
  year: 1994
  ident: 2022_CR6
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/BF02193096
– volume: 52
  start-page: 229
  year: 2011
  ident: 2022_CR20
  publication-title: J. Global Optim.
  doi: 10.1007/s10898-011-9660-y
– volume-title: Constrained Optimization and Image Space Analysis.
  year: 2005
  ident: 2022_CR11
  doi: 10.1007/0-387-28020-0
– volume: 65
  start-page: 779
  issue: 4
  year: 2015
  ident: 2022_CR4
  publication-title: Optimization
  doi: 10.1080/02331934.2015.1083019
– volume: 143
  start-page: 1
  year: 2014
  ident: 2022_CR3
  publication-title: Math. Program.
  doi: 10.1007/s10107-013-0710-8
– volume: 46
  start-page: 603
  year: 2010
  ident: 2022_CR17
  publication-title: J. Global Optim.
  doi: 10.1007/s10898-009-9445-8
– volume-title: Convex analysis
  year: 1970
  ident: 2022_CR19
  doi: 10.1515/9781400873173
– volume: 25
  start-page: 647
  year: 2015
  ident: 2022_CR9
  publication-title: J. Optim.
– volume: 23
  start-page: 153
  year: 2013
  ident: 2022_CR8
  publication-title: J. Optim.
– volume: 42
  start-page: 331
  year: 1984
  ident: 2022_CR10
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/BF00935321
– volume: 19
  start-page: 1735
  year: 2009
  ident: 2022_CR1
  publication-title: SIAM J. Optim.
  doi: 10.1137/07070601X
– volume-title: Handbook of Global Optimization, Nonconvex Optimization and Its Applications.
  year: 1995
  ident: 2022_CR12
– volume: 152
  start-page: 710
  year: 2012
  ident: 2022_CR14
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/s10957-011-9930-3
– volume-title: Nonlinear programming, theory and algorithms
  year: 2006
  ident: 2022_CR2
  doi: 10.1002/0471787779
– volume: 56
  start-page: 551
  issue: 2
  year: 2018
  ident: 2022_CR5
  publication-title: J. Glob. Optim.
  doi: 10.1007/s10898-018-0607-4
– volume: 49
  start-page: 1
  year: 2011
  ident: 2022_CR13
  publication-title: J. Glob. Optim.
  doi: 10.1007/s10898-009-9518-8
– volume: 168
  start-page: 369
  year: 2018
  ident: 2022_CR7
  publication-title: Math. Program.
  doi: 10.1007/s10107-016-1078-3
– volume: 43
  start-page: 126
  year: 2015
  ident: 2022_CR15
  publication-title: Op. Res. Letters
  doi: 10.1016/j.orl.2014.12.002
SSID ssj0009874
Score 2.3569198
Snippet We consider a quadratic programming problem with quadratic cone constraints and an additional geometric constraint. Under suitable assumptions, we establish...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 118
SubjectTerms Applications of Mathematics
Calculus of Variations and Optimal Control; Optimization
Engineering
Geometric constraints
Hessian matrices
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Quadratic equations
Quadratic programming
Theory of Computation
SummonAdditionalLinks – databaseName: ProQuest ABI/INFORM Collection
  dbid: 7WY
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagMMDAG1EoyAMbWOA4L08IVVQstEWAKFPk2I5U1Kalafn9nF2nASS6sESJLnYsfRff59d9CJ1D1Am1pyhJvUgQXxmZF54CIGGY0essyoTMrNhE1G7HvR7vugm3wm2rLPtE21GrkTRz5FdQ2IfwxBm9GX8QoxplVledhMYqWoNAHRgFg-j1rUq6G5dZmD3CPMbdoRl3dI4HETEWIExwpT8DU8U2fy2Q2rjT2v5vi3fQlmOc-HbuIrtoRed7aPNbHkJ4elgkby320XurD5SQYJEr_GTGy4p0TIJO3IHuZWh5O26OzFK3cVkMrBc_zoQyrgSAD6yxsNITWlUW3J3vBBvCF829kbEpDtBL6-65eU-cJAORLGRTImOdKhkoGMyGkikO7EDGIlZaUEA8CzTQNRZG2mdGAslTvhIcCB7nMhOegKHRIarlo1wfIUz9NApSSTWLPV9zweNQBtrLgEdnQoe6jmiJRyJdvnLT9kFSZVo2GCaAXmIxTGgdXSzKjOfZOpa-3SiBS9yfWyQVanV0WUJfmf-u7Xh5bSdow_qZncBpoNp0MtOnaF1-TvvF5Mz67RdMfvOB
  priority: 102
  providerName: ProQuest
Title First- and Second-Order Optimality Conditions for Quadratically Constrained Quadratic Programming Problems
URI https://link.springer.com/article/10.1007/s10957-022-02022-1
https://www.proquest.com/docview/2664215931
Volume 193
WOSCitedRecordID wos000777351400001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAVX
  databaseName: Springer Journals
  customDbUrl:
  eissn: 1573-2878
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0009874
  issn: 0022-3239
  databaseCode: RSV
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8QgECa-DnrwbVwfGw7elMRCW8pRN25MjLvV9X1pKNBkzT7MdvX3O7CtXY2a6GVSMrQlzBS-KfANQgcw64SGao-klEvia5vmRaRgkDDMvOOMZ1JlLtkEb7WihwcRF4fC8nK3e7kk6UbqqcNuIuDE7j4HiAMSYp75wLLN2Bi9c1dR7UYl9zIljDJRHJX5_hmfp6MKY35ZFnWzTXPlf-1cRcsFusQnE3dYQzNmsI6WpjgHoXT5QdSab6DnZhfgH8FyoHHHxsaatC0ZJ27DUNJ3GB03hnZZ27onBoSLr16ltm4Dxu05Ze7STBhdaXA82fXVhzfaa5uyJt9Et82zm8Y5KdIvEMVCNiYqMqlWgYbANVRMC0ACKpKRNtID62aBAWjGQm58ZtMdUe1rKQDMCaEySSWEQVtobjAcmG2EPT_lQao8wyLqGyFFFKrA0AwwcyZNaGrIK62QqIKb3La9l1SsyrZXE-jPxPVq4tXQ4cc9LxNmjl9r75XGTYqvNE_AIX2APIKB-qg0ZqX--Wk7f6u-ixadJ7ifN3tobjx6NftoQb2Nu_mojmb5_WMdzZ-eteJrKF1wAvLyuGElbTsZW8k7IOPgqe78_R2QYPFm
linkProvider Springer Nature
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4hWqnl0DdiC219aE-tBbYTJz6gqoKuQAsLVanELTi2Iy2CXSBLUf9UfyMz3oTQSuXGoZco0cSJE3_z8Gs-gPfodXSQXvBSZpYnnmheTIkNonUl1qqssq6KZBPZcJgfHpr9Ofjd7oWhZZWtTYyG2k8cjZGvYuEE3ZNR4vPZOSfWKJpdbSk0ZrAYhF9X2GWr17c3sX0_SNn_erCxxRtWAe6UVlPu8lB6l3rsj2mnvEEH53Kb-2AFVrpKA0YcSmchUcTiI33ircEYxRhXWWkzYolAk_8gUbkmjRpkvEvym7dZnyVXUplmk06zVc-kGScJBmh4FH86wi66_WtCNvq5_tP_7Q89gydNRM2-zFTgOcyF8QtYuJVnEa92b5LT1i_huD_CkJczO_bsO40HeL5HCUjZHprP09gvYRsTmsonlWQY1bNvl9aTqiCgT6KwjtQawXcStj9b6XaKb6RzoumpX8GPe_n0RZgfT8ZhCZhIyiwtnQgql0kw1uTapUFW2E-obNChB6Jt_8I1-dip7idFl0maMFMgWoqImUL04ONNmbNZNpI7715pgVI0lqkuOpT04FMLtU7876e9vvtp7-DR1sHuTrGzPRwsw-OI8ThYtQLz04vL8AYeup_TUX3xNuoMg6P7huA1b8lQTw
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1JT9wwFH5CQ1W1h9JVnRaoD_RULLCdzYeqYhsVQYfpJnELjheJCmYoGVr1r_XX8Z4nIW0luHHoJUr04iSOP7_Fy_sAVtDqZF46wSuZG544onnRFTZIlgWxHvJgbIhkE_lwWBwe6tEc_G73wtCyylYnRkXtJpbGyNewcILmSSuxFpplEaPtwbuz75wYpGimtaXTmEFkz__6ieFb_XZ3G9v6tZSDnS9b73nDMMCtytSU28JXzqYOY7PMKqfR2NnCFM4bgRUIqUfvQ2W5TxQx-kiXOKPRX9HaBiNNTowRqP7nc4VBTw_mN3eGo09dyt-izQEtuZJKN1t2mo17Os05SdBdw6P42yx2vu4_07PR6g0W_uf_9RAeNL4225h1jkcw58eP4f4fGRjx6sNV2tr6CXwbHKMzzJkZO_aZRgocP6DUpOwAFetpjFjY1oQm-amzMvT32ccL46gTIdRPorCOpBvedRI2mq2BO8U30jkR-NRP4eutVP0Z9MaTsX8OTCRVnlZWeFXIxGuji8ymXgaMIILxme-DaLFQ2iZTO337SdnlmCb8lIicMuKnFH14c1XmbJan5Ma7F1vQlI3OqssOMX1YbWHXia9_2oubn_YK7iLyyv3d4d5LuBfhHkexFqE3Pb_wS3DH_pge1-fLTQdicHTbGLwEte9aoQ
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=First-+and+Second-Order+Optimality+Conditions+for+Quadratically+Constrained+Quadratic+Programming+Problems&rft.jtitle=Journal+of+optimization+theory+and+applications&rft.au=Flores-Baz%C3%A1n%2C+Fabi%C3%A1n&rft.au=Mastroeni%2C+Giandomenico&rft.date=2022-06-01&rft.issn=0022-3239&rft.eissn=1573-2878&rft.volume=193&rft.issue=1-3&rft.spage=118&rft.epage=138&rft_id=info:doi/10.1007%2Fs10957-022-02022-1&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10957_022_02022_1
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-3239&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-3239&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-3239&client=summon