On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization

This paper describes a reduced quasi-Newton method for solving equality constrained optimization problems. A major difficulty encountered by this type of algorithm is the design of a consistent technique for maintaining the positive definiteness of the matrices approximating the reduced Hessian of t...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:SIAM journal on optimization Ročník 7; číslo 3; s. 780 - 813
Hlavní autor: Gilbert, Jean Charles
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.08.1997
Témata:
Algorithms
Approximation
Computer Science
Optimization
Other
Quadratic programming
ISSN:1052-6234, 1095-7189
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract This paper describes a reduced quasi-Newton method for solving equality constrained optimization problems. A major difficulty encountered by this type of algorithm is the design of a consistent technique for maintaining the positive definiteness of the matrices approximating the reduced Hessian of the Lagrangian. A new approach is proposed in this paper. The idea is to search for the next iterate along a piecewise linear path. The path is designed so that some generalized Wolfe conditions can be satisfied. These conditions allow the algorithm to sustain the positive definiteness of the matrices from iteration to iteration by a mechanism that has turned out to be efficient in unconstrained optimization.
AbstractList This paper describes a reduced quasi-Newton method for solving equality constrained optimization problems. A major difficulty encountered by this type of algorithm is the design of a consistent technique for maintaining the positive definiteness of the matrices approximating the reduced Hessian of the Lagrangian. A new approach is proposed in this paper. The idea is to search for the next iterate along a piecewise linear path. The path is designed so that some generalized Wolfe conditions can be satisfied. These conditions allow the algorithm to sustain the positive definiteness of the matrices from iteration to iteration by a mechanism that has turned out to be efficient in unconstrained optimization.
We propose a piecewise line-search technique for reduced quasi-Newton methods, which are designed for minimizing functions when nonlinear equality constraints are present. The search aims at realized Wolfe conditions. These conditions are suitable for the methods considered because thay allow the algorithm to maintain naturally the positive definiteness of the matrices approximating the reduced Hessian of the Lagrangian.
Author Gilbert, Jean Charles
Author_xml – sequence: 1
  givenname: Jean Charles
  surname: Gilbert
  fullname: Gilbert, Jean Charles
BackLink https://inria.hal.science/inria-00074545$$DView record in HAL
BookMark eNp9kU9PAyEQxYmpibX6AbxtvJpV2GXZcmwatSbVxn_xSGCBFLOFCqymfnrZ1njQxNNMht97Q94cgoF1VgFwguA5QmV98YhgVZCixLQsKkog3gNDBGmV12hMB31fFXn_fgAOQ3iFEI4pGQ_BemGzuFTZg-Kt-eTROJs5vR29uFarbOqsNP04ZMYmTHaNktl9x4PJ79RHTPytiksnQ6adzy7fumQUN70uRM-NTfRiHc3q2_0I7GveBnX8XUfg-eryaTrL54vrm-lknjclJDGvhSQYl1RLSZTigoqqLHQha4wUKrXQNamxQhhSommhpRBKCcGhrBoipeDlCJztfJe8ZWtvVtxvmOOGzSZzZqw3nKUQalzh6h0l-nRHr71761SI7NV13qYPMlpABMdpUYLQDmq8C8Er_eOLIOuvwP5cIWnqX5rGxG0QfTjtP8ov52-Omw
CitedBy_id crossref_primary_10_1023_A_1008701324575
crossref_primary_10_1007_s11075_021_01153_2
crossref_primary_10_1007_s40995_023_01463_1
crossref_primary_10_1016_j_eswa_2025_129440
crossref_primary_10_1016_j_aml_2020_106654
Cites_doi 10.1137/0721051
10.1007/BF01589113
10.1007/BF01589116
10.1137/0722050
10.1007/978-1-4757-2284-0
10.1137/1013035
10.1007/BF01594922
10.1007/BF01585100
10.1007/BF01585692
10.1007/BF00934767
10.1007/BF00933161
10.1007/BFb0120946
10.1137/0802012
10.1007/BF01580395
10.1007/BFb0120947
10.1137/1.9781611971200
10.1051/m2an/1988220202511
10.1145/192115.192132
10.1090/S0025-5718-1988-0942149-3
10.1007/BF01588250
10.1007/BF01588967
10.2140/pjm.1966.16.1
10.1007/BF01588794
10.1137/1011036
ContentType Journal Article
Copyright [Copyright] © 1997 Society for Industrial and Applied Mathematics
Attribution - NoDerivatives
Copyright_xml – notice: [Copyright] © 1997 Society for Industrial and Applied Mathematics
– notice: Attribution - NoDerivatives
DBID AAYXX
CITATION
3V.
7RQ
7WY
7WZ
7X2
7XB
87Z
88A
88F
88I
88K
8AL
8FE
8FG
8FH
8FK
8FL
8G5
ABJCF
ABUWG
AFKRA
ARAPS
ATCPS
AZQEC
BBNVY
BENPR
BEZIV
BGLVJ
BHPHI
CCPQU
D1I
DWQXO
FRNLG
F~G
GNUQQ
GUQSH
HCIFZ
JQ2
K60
K6~
K7-
KB.
L.-
L6V
LK8
M0C
M0K
M0N
M1Q
M2O
M2P
M2T
M7P
M7S
MBDVC
P5Z
P62
PATMY
PDBOC
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
PYCSY
Q9U
U9A
1XC
VOOES
DOI 10.1137/S1052623493259604
DatabaseName CrossRef
ProQuest Central (Corporate)
Career & Technical Education Database
ABI/INFORM Collection
ABI/INFORM Global (PDF only)
Agricultural Science Collection
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Biology Database (Alumni Edition)
Military Database (Alumni Edition)
Science Database (Alumni Edition)
Telecommunications (Alumni Edition)
Computing Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Natural Science 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 UK/Ireland
Advanced Technologies & Computer Science Collection
Agricultural & Environmental Science Collection
ProQuest Central Essentials
Biological Science Database
ProQuest Central
Business Premium Collection
Technology collection
Natural Science Collection
ProQuest One Community College
ProQuest Materials Science Collection
ProQuest Central
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
Research Library Prep (ProQuest)
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Computer Science Database
Materials Science Database
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Biological Science Collection
ABI/INFORM Global
Agricultural Science Database
Computing Database
Military Database
Research Library
Science Database
Telecommunications Database
Biological Science Database
Engineering Database
Research Library (Corporate)
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Environmental Science Database
Materials Science Collection
ProQuest Central Premium
ProQuest One Academic
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
Environmental Science Collection
ProQuest Central Basic
Hyper Article en Ligne (HAL)
Hyper Article en Ligne (HAL) (Open Access)
DatabaseTitle CrossRef
Agricultural Science Database
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
SciTech Premium Collection
ProQuest Military Collection
ProQuest Central China
ABI/INFORM Complete
ProQuest Telecommunications
ProQuest One Applied & Life Sciences
Natural Science Collection
Biological Science Collection
ProQuest Central (New)
Engineering Collection
Career and Technical Education (Alumni Edition)
Advanced Technologies & Aerospace Collection
Business Premium Collection
ABI/INFORM Global
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest Biological Science Collection
ProQuest One Academic Eastern Edition
Agricultural Science Collection
ProQuest Technology Collection
ProQuest Telecommunications (Alumni Edition)
Biological Science Database
ProQuest Business Collection
Environmental Science Collection
ProQuest Career and Technical Education
ProQuest One Academic UKI Edition
Environmental Science Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
ProQuest One Academic Middle East (New)
Materials Science Collection
ProQuest Central (Alumni Edition)
ProQuest One Community College
Research Library (Alumni Edition)
ProQuest Natural Science Collection
ProQuest Biology Journals (Alumni Edition)
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Central Korea
Agricultural & Environmental Science Collection
Materials Science Database
ProQuest Research Library
ABI/INFORM Complete (Alumni Edition)
ProQuest Materials Science Collection
ProQuest Computing
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ProQuest Computing (Alumni Edition)
ProQuest Military Collection (Alumni Edition)
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest One Business (Alumni)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
DatabaseTitleList Agricultural Science Database
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Mathematics
Computer Science
EISSN 1095-7189
EndPage 813
ExternalDocumentID oai:HAL:inria-00074545v1
2579922311
10_1137_S1052623493259604
GroupedDBID -~X
.4S
.DC
123
4.4
7RQ
7WY
7X2
7XC
88I
8CJ
8FE
8FG
8FH
8FL
8G5
8V8
AALVN
AASXH
AAYXX
ABDBF
ABDPE
ABJCF
ABKAD
ABMZU
ABUWG
ACGFO
ACGOD
ACIWK
ACPRK
ACUHS
ADBBV
AEMOZ
AENEX
AFFHD
AFFNX
AFKRA
AFRAH
AHQJS
AKVCP
ALMA_UNASSIGNED_HOLDINGS
ANXRF
ARAPS
ARCSS
ATCPS
AZQEC
BBNVY
BENPR
BEZIV
BGLVJ
BHPHI
BPHCQ
CCPQU
CITATION
CS3
CZ9
D1I
D1J
D1K
DQ2
DU5
DWQXO
EAP
EBR
EBS
EBU
EDO
EJD
EMK
EST
ESX
F5P
FRNLG
GNUQQ
GUQSH
H13
HCIFZ
H~9
I-F
K1G
K6-
K60
K6V
K6~
K7-
KB.
KC.
L6V
LK5
LK8
M0C
M0K
M1Q
M2O
M2P
M7P
M7R
M7S
P1Q
P2P
P62
PATMY
PDBOC
PHGZM
PHGZT
PQBIZ
PQBZA
PQGLB
PQQKQ
PROAC
PTHSS
PYCSY
RJG
RNS
RSI
TH9
TN5
TUS
TWZ
YNT
3V.
7XB
88A
88K
8AL
8FK
JQ2
L.-
M0N
M2T
MBDVC
PKEHL
PQEST
PQUKI
PRINS
Q9U
U9A
1XC
VOOES
ID FETCH-LOGICAL-c306t-7bd64439fdd6eeab9b532f2d741e13fbf7674e14096f92fdbbeebba0d5c6ddba3
IEDL.DBID M2P
ISICitedReferencesCount 9
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000071020000011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1052-6234
IngestDate Tue Oct 14 20:29:42 EDT 2025
Wed Aug 13 06:53:44 EDT 2025
Sat Nov 29 06:10:53 EST 2025
Tue Nov 18 22:15:30 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
License Attribution - NoDerivatives: http://creativecommons.org/licenses/by-nd
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c306t-7bd64439fdd6eeab9b532f2d741e13fbf7674e14096f92fdbbeebba0d5c6ddba3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ORCID 0000-0002-0375-4663
OpenAccessLink https://inria.hal.science/inria-00074545
PQID 920108409
PQPubID 666300
PageCount 34
ParticipantIDs hal_primary_oai_HAL_inria_00074545v1
proquest_journals_920108409
crossref_primary_10_1137_S1052623493259604
crossref_citationtrail_10_1137_S1052623493259604
PublicationCentury 1900
PublicationDate 1997-08-01
PublicationDateYYYYMMDD 1997-08-01
PublicationDate_xml – month: 08
  year: 1997
  text: 1997-08-01
  day: 01
PublicationDecade 1990
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle SIAM journal on optimization
PublicationYear 1997
Publisher Society for Industrial and Applied Mathematics
Publisher_xml – name: Society for Industrial and Applied Mathematics
References R41
R40
R43
R20
R23
R22
R44
R27
R26
R29
R2
R4
R5
R6
R7
R8
R9
Gilbert Jean (R16) 1988; 22
R31
R12
R11
R33
R14
Boothby William (R3) 1986
R15
R17
References_xml – ident: R7
  doi: 10.1137/0721051
– ident: R20
  doi: 10.1007/BF01589113
– ident: R26
  doi: 10.1007/BF01589116
– ident: R31
  doi: 10.1137/0722050
– ident: R9
  doi: 10.1007/978-1-4757-2284-0
– ident: R44
  doi: 10.1137/1013035
– ident: R17
  doi: 10.1007/BF01594922
– ident: R6
  doi: 10.1007/BF01585100
– ident: R12
  doi: 10.1007/BF01585692
– ident: R14
  doi: 10.1007/BF00934767
– ident: R40
  doi: 10.1007/BF00933161
– ident: R15
  doi: 10.1007/BFb0120946
– ident: R5
  doi: 10.1137/0802012
– ident: R22
  doi: 10.1007/BF01580395
– ident: R27
  doi: 10.1007/BFb0120947
– ident: R11
  doi: 10.1137/1.9781611971200
– volume: 22
  start-page: 251
  year: 1988
  ident: R16
  publication-title: RAIRO Modél. Math. Anal. Numér.
  doi: 10.1051/m2an/1988220202511
– volume-title: An introduction to differentiable manifolds and Riemannian geometry
  year: 1986
  ident: R3
– ident: R29
  doi: 10.1145/192115.192132
– ident: R41
  doi: 10.1090/S0025-5718-1988-0942149-3
– ident: R23
  doi: 10.1007/BF01588250
– ident: R33
  doi: 10.1007/BF01588967
– ident: R8
  doi: 10.1007/BF01585692
– ident: R2
  doi: 10.2140/pjm.1966.16.1
– ident: R4
  doi: 10.1007/BF01588794
– ident: R43
  doi: 10.1137/1011036
SSID ssj0008968
Score 1.5419754
Snippet This paper describes a reduced quasi-Newton method for solving equality constrained optimization problems. A major difficulty encountered by this type of...
We propose a piecewise line-search technique for reduced quasi-Newton methods, which are designed for minimizing functions when nonlinear equality constraints...
SourceID hal
proquest
crossref
SourceType Open Access Repository
Aggregation Database
Enrichment Source
Index Database
StartPage 780
SubjectTerms Algorithms
Approximation
Computer Science
Optimization
Other
Quadratic programming
Title On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization
URI https://www.proquest.com/docview/920108409
https://inria.hal.science/inria-00074545
Volume 7
WOSCitedRecordID wos000071020000011&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: PRVPQU
  databaseName: ABI/INFORM Collection
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: 7WY
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM Global
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M0C
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: P5Z
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Agricultural Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M0K
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/agriculturejournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Biological Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M7P
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/biologicalscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Career & Technical Education Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: 7RQ
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/career
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Computer Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: K7-
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/compscijour
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M7S
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Environmental Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: PATMY
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/environmentalscience
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Materials Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: KB.
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/materialsscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Military Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M1Q
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/military
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: BENPR
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Research Library
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M2O
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/pqrl
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M2P
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1La9tAEB7qpIf20HepmzbsIafCNtbK8kqnkhiHQCJbcVKS9iK0L2pIJTdyAv33nVmvRR-QSy8f2tXICGY1-6139huAvcw5O3SZxsGbaj6sohFPjUi4ttoNUy2EVP6g8KmcTtOrq6wIuTltSKvcxEQfqE2j6T_y_Yy2bWk18mn5g1PRKNpcDRU0erCNxCaijK5cFF0gTrNwEi4RHGf5YdjUjGK5f06d1If0JSF9kj-mpd43Sor8Kzb7Cefo6X--6jN4EpgmO1gPjefwwNYv4PFv-oPYyjvR1vYlLGc1wyabI3cMpzNZ43zXZXPtLBs3tL9N45QtajQzOCwMO7ut2gXHYIkskuW-IHXLkAqzyfrA5k96rvWlKNB6hiHqe_j1V_D5aHIxPuahIAPXuLJYcakM0qc4c8aMrK1UppJYOGGQldgodsqRMpAlCa2Ry4QzSlmrVDUwiR4Zo6r4NWzVTW3fAJMDKXBepJJnemhiq5yyIjJV5RKNi33dh8HGH6UOauX0ptelX7XEsvzHhX340D2yXEt13Ge8h07u7Ehk-_jgtFzU-NmXnlghtbyL-rCzcXEZPu627Pz79t67O_BorXVL2YLvYGt1c2vfw0N9t1q0N7vQk_Mzwssvu7B9OJkWc2ydSE54-BExH4w9nhBGZJuLmcfC4wWh9NfyHLFIvv4CB2396Q
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9wwEB4BRaI9tLS0YgsFH-BSyWLjJJvkUFWIghaxuzyrcgvxS10Jki1ZqPhR_Y_MOA-1VOLGgWMc24rszzOfY883ABuJtSawiULwxooHmdfjsRYhV0bZIFZCRNIFCg-i0Sg-P0-OZuBPEwtD1yobm-gMtS4U_SPfSujYlnYjXye_OCWNosPVJoNGhYoDc_cbd2zll_1vOL2bQuztnu30eZ1UgCtkx1MeSY0UwE-s1j1jMpnI0BdWaPSsxvOttKRuY0gGqmcTYbWUxkiZdXWoelrLzMd-Z-EFsgjRdTcFj1rDHyd15F0oOLKKoD5E9fxo65QKqQzpUkh6KP-4wdmfdAnzgS9wDm7vzTMbmkV4XTNptl1B_y3MmPwdvPpLXxGfhq0obbkEk8Oc4SM7QW5cR5-ywrqiH8WlNWynoPN7WodsnGM1jbDX7PgmK8ccnQGyZDZ0CbdLhlSf7VYBqXfUrnSpNrD2IZrgq7r39_D9SQbgA8zlRW6WgUXdSKDfp5RuKtC-kVYa4ekss6EyUqgOdJv5T1Wtxk5fepm6XZkfpf9BpgOf2yaTSorkscobCKq2HomI97cH6ThHs5Y64ojU-dbrwEoDqbQ2XmXa4unjo2_XYaF_Nhykg_3RwQq8rHR96WbkKsxNr2_MJ5hXt9Nxeb3mlgmDi6cG3z2EnVLT
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=On+the+realization+of+the+Wolfe+conditions+in+reduced+quasi-Newton+methods+for+equality+constrained+optimization&rft.jtitle=SIAM+journal+on+optimization&rft.au=Gilbert%2C+Jean+Charles&rft.date=1997-08-01&rft.pub=Society+for+Industrial+and+Applied+Mathematics&rft.issn=1052-6234&rft.volume=7&rft.issue=3&rft.spage=780&rft.epage=813&rft_id=info:doi/10.1137%2FS1052623493259604&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=oai%3AHAL%3Ainria-00074545v1
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1052-6234&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1052-6234&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1052-6234&client=summon