Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities
Two trust-region methods for systems of mixed nonlinear equalities, general inequalities and simple bounds are proposed. The first method is based on a Gauss–Newton model, the second one is based on a regularized Gauss–Newton model and results to be a Levenberg–Marquardt method. The globalization st...
Uložené v:
| Vydané v: | Applied numerical mathematics Ročník 59; číslo 5; s. 859 - 876 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Kidlington
Elsevier B.V
01.05.2009
Elsevier |
| Predmet: | |
| ISSN: | 0168-9274, 1873-5460 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Two trust-region methods for systems of mixed nonlinear equalities, general inequalities and simple bounds are proposed. The first method is based on a Gauss–Newton model, the second one is based on a regularized Gauss–Newton model and results to be a Levenberg–Marquardt method. The globalization strategy uses affine scaling matrices arising in bound-constrained optimization. Global convergence results are established and quadratic rate is achieved under an error bound assumption. The numerical efficiency of the new methods is experimentally studied. |
|---|---|
| AbstractList | Two trust-region methods for systems of mixed nonlinear equalities, general inequalities and simple bounds are proposed. The first method is based on a Gauss–Newton model, the second one is based on a regularized Gauss–Newton model and results to be a Levenberg–Marquardt method. The globalization strategy uses affine scaling matrices arising in bound-constrained optimization. Global convergence results are established and quadratic rate is achieved under an error bound assumption. The numerical efficiency of the new methods is experimentally studied. |
| Author | Porcelli, Margherita Macconi, Maria Morini, Benedetta |
| Author_xml | – sequence: 1 givenname: Maria surname: Macconi fullname: Macconi, Maria email: maria.macconi@unifi.it organization: Dipartimento di Energetica “S. Stecco”, Università di Firenze, via C. Lombroso 6/17, 50134 Firenze, Italy – sequence: 2 givenname: Benedetta surname: Morini fullname: Morini, Benedetta email: benedetta.morini@unifi.it organization: Dipartimento di Energetica “S. Stecco”, Università di Firenze, via C. Lombroso 6/17, 50134 Firenze, Italy – sequence: 3 givenname: Margherita surname: Porcelli fullname: Porcelli, Margherita email: margherita.porcelli@math.unifi.it organization: Dipartimento di Matematica “U. Dini”, Università di Firenze, viale Morgagni 67a, 50134 Firenze, Italy |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21304487$$DView record in Pascal Francis |
| BookMark | eNqFkD1PwzAQQC1UJErhF7B4YUyw46RxBgZU8SVVYikDk3V1zuAqcYrtIvrvcSnqwADTSdZ7Pt07JSM3OCTkgrOcMz69WuWwdps-LxiTORM5K-QRGXNZi6wqp2xExomSWVPU5Qk5DWHFGKuqko3Jy8JvQsw8vtrB0fcNtB6i1bTH-Da0gZrB07Sssw7B07ANEftAB0N7-4ktxWR0NloMFFxLE3V4OCPHBrqA5z9zQp7vbhezh2z-dP84u5lnWggRs5Ivm5YvBciyak0NApiujOCAulkCMtkUsk4I6LrgKGXDtTFGAKRbq6YxYkIu9_-uIWjojAenbVBrb3vwW1VwwcoylZgQsee0H0LwaA4IZ2pXUa3Ud0W1q6iYUKlisppflrYxFRpc9GC7f9zrvYvp_A-LXgVt0WlsrUcdVTvYP_0vyb6Tyg |
| CODEN | ANMAEL |
| CitedBy_id | crossref_primary_10_1007_s10589_010_9327_5 crossref_primary_10_1080_10556788_2014_955496 crossref_primary_10_1007_s10589_015_9806_9 crossref_primary_10_1007_s11590_011_0321_3 crossref_primary_10_1007_s12209_011_1615_3 crossref_primary_10_1007_s11590_013_0711_9 crossref_primary_10_1016_j_amc_2016_01_063 crossref_primary_10_1007_s11831_016_9208_x crossref_primary_10_1007_s11075_019_00772_0 crossref_primary_10_1016_j_apm_2011_10_034 crossref_primary_10_1186_1029_242X_2011_4 crossref_primary_10_1142_S0217595922500178 crossref_primary_10_1007_s10589_024_00589_1 crossref_primary_10_1002_dac_1329 crossref_primary_10_1007_s10589_018_9980_7 crossref_primary_10_3390_a18060360 crossref_primary_10_1007_s10589_012_9469_8 crossref_primary_10_1016_j_cam_2021_113421 crossref_primary_10_1016_j_fluid_2010_09_002 crossref_primary_10_1016_j_apnum_2018_05_006 crossref_primary_10_1007_s40314_015_0257_9 crossref_primary_10_1016_j_energy_2015_10_122 crossref_primary_10_1080_10556788_2016_1146266 crossref_primary_10_1007_s10898_015_0275_6 crossref_primary_10_1007_s11590_011_0430_z crossref_primary_10_1007_s11075_017_0421_y crossref_primary_10_1007_s00419_015_1096_2 |
| Cites_doi | 10.1137/1.9780898719857 10.1007/s101070100263 10.1137/S1064827595289108 10.1007/BF01584250 10.1137/0904038 10.1016/S0168-9274(02)00170-8 10.1080/10556780500140516 10.1016/j.cam.2004.02.013 10.1137/S1052623403422637 10.1080/10556780701296455 10.1007/b98874 10.1145/1206040.1206043 10.1023/B:COAP.0000026881.96694.32 10.1007/s101070050107 10.1137/0727071 10.1007/s10589-006-6514-5 10.1007/BF02614322 10.1137/0806023 10.1137/040611951 10.1007/BF01585997 10.1007/BF01436488 10.1007/s10589-007-9029-9 10.1137/S1052623494276208 10.1016/j.cam.2004.08.013 |
| ContentType | Journal Article |
| Copyright | 2008 IMACS 2009 INIST-CNRS |
| Copyright_xml | – notice: 2008 IMACS – notice: 2009 INIST-CNRS |
| DBID | AAYXX CITATION IQODW |
| DOI | 10.1016/j.apnum.2008.03.028 |
| DatabaseName | CrossRef Pascal-Francis |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics |
| EISSN | 1873-5460 |
| EndPage | 876 |
| ExternalDocumentID | 21304487 10_1016_j_apnum_2008_03_028 S016892740800072X |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABEFU ABJNI ABMAC ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ADBBV ADEZE ADGUI ADIYS ADMUD AEBSH AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AI. AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HMJ HVGLF HZ~ IHE J1W KOM M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SME SPC SPCBC SSW SSZ T5K TN5 VH1 VOH WH7 WUQ XPP ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH |
| ID | FETCH-LOGICAL-c333t-41b9d1b3a845df7a3a0c5f31aec9bae089287b9dac721e8891cfff3aa200599f3 |
| ISICitedReferencesCount | 42 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000264925900002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0168-9274 |
| IngestDate | Mon Jul 21 09:12:51 EDT 2025 Sat Nov 29 02:29:46 EST 2025 Tue Nov 18 22:42:27 EST 2025 Fri Feb 23 02:32:57 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | Error bound Systems of nonlinear equalities and inequalities Trust-region methods Bound-constrained optimization Error estimation Numerical linear algebra Optimization method Numerical method Non linear system Mixed method Convergence Constrained optimization Numerical analysis Applied mathematics Condition number Mathematical programming |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c333t-41b9d1b3a845df7a3a0c5f31aec9bae089287b9dac721e8891cfff3aa200599f3 |
| PageCount | 18 |
| ParticipantIDs | pascalfrancis_primary_21304487 crossref_primary_10_1016_j_apnum_2008_03_028 crossref_citationtrail_10_1016_j_apnum_2008_03_028 elsevier_sciencedirect_doi_10_1016_j_apnum_2008_03_028 |
| PublicationCentury | 2000 |
| PublicationDate | 2009-05-01 |
| PublicationDateYYYYMMDD | 2009-05-01 |
| PublicationDate_xml | – month: 05 year: 2009 text: 2009-05-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | Kidlington |
| PublicationPlace_xml | – name: Kidlington |
| PublicationTitle | Applied numerical mathematics |
| PublicationYear | 2009 |
| Publisher | Elsevier B.V Elsevier |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier |
| References | Francisco, Krejić, Martínez (bib014) 2005; 177 Branch, Coleman, Li (bib004) 1999; 21 Gould, Toint (bib018) 2007; 33 Nocedal, Wright (bib029) 1999 Fletcher, Leyffer (bib012) 2003 Kanzow, Klug (bib022) 2006; 35 Dolan, Moré (bib011) 2002; 91 Horn, Johnson (bib021) 1985 Kanzow, Yamashita, Fukushima (bib025) 2004; 172 Bellavia, Morini (bib002) 2005; 20 Pang (bib030) 1997; 79 Gill, Murray, Wright (bib016) 1981 Conn, Gould, Toint (bib006) 2000 Gould, Leyffer, Toint (bib017) 2004; 15 Walker, Watson (bib031) 1990; 27 Bellavia, Morini (bib003) 2006; 44 Kanzow, Klug (bib023) 2007; 37 Dennis, El-Alem, Williamson (bib010) 1999; 9 Burke, Ferris (bib005) 1995; 71 Garcia-Palomares, Restuccia (bib015) 1981; 21 Daniel (bib008) 1973; 6 Dennis, Schnabel (bib009) 1983 Heinkenschloss, Ulbrich, Ulbrich (bib019) 1999; 86 Hock, Schittkowski (bib020) 1981; vol. 187 Moré, Sorensen (bib028) 1983; 4 Moré (bib027) 1978; vol. 630 Li, Fukushima, Qi, Yamashita (bib026) 2004; 28 Coleman, Li (bib007) 1996; 6 Floudas (bib013) 1999; vol. 33 Kanzow, Petra (bib024) 2007; 22 Bellavia, Macconi, Morini (bib001) 2003; 44 Dolan (10.1016/j.apnum.2008.03.028_bib011) 2002; 91 Dennis (10.1016/j.apnum.2008.03.028_bib009) 1983 Burke (10.1016/j.apnum.2008.03.028_bib005) 1995; 71 Hock (10.1016/j.apnum.2008.03.028_bib020) 1981; vol. 187 Moré (10.1016/j.apnum.2008.03.028_bib027) 1978; vol. 630 Gill (10.1016/j.apnum.2008.03.028_bib016) 1981 Branch (10.1016/j.apnum.2008.03.028_bib004) 1999; 21 Kanzow (10.1016/j.apnum.2008.03.028_bib022) 2006; 35 Gould (10.1016/j.apnum.2008.03.028_bib017) 2004; 15 Moré (10.1016/j.apnum.2008.03.028_bib028) 1983; 4 Garcia-Palomares (10.1016/j.apnum.2008.03.028_bib015) 1981; 21 Floudas (10.1016/j.apnum.2008.03.028_bib013) 1999; vol. 33 Li (10.1016/j.apnum.2008.03.028_bib026) 2004; 28 Heinkenschloss (10.1016/j.apnum.2008.03.028_bib019) 1999; 86 Horn (10.1016/j.apnum.2008.03.028_bib021) 1985 Bellavia (10.1016/j.apnum.2008.03.028_bib002) 2005; 20 Kanzow (10.1016/j.apnum.2008.03.028_bib025) 2004; 172 Bellavia (10.1016/j.apnum.2008.03.028_bib001) 2003; 44 Bellavia (10.1016/j.apnum.2008.03.028_bib003) 2006; 44 Conn (10.1016/j.apnum.2008.03.028_bib006) 2000 Gould (10.1016/j.apnum.2008.03.028_bib018) 2007; 33 Fletcher (10.1016/j.apnum.2008.03.028_bib012) 2003 Dennis (10.1016/j.apnum.2008.03.028_bib010) 1999; 9 Daniel (10.1016/j.apnum.2008.03.028_bib008) 1973; 6 Kanzow (10.1016/j.apnum.2008.03.028_bib023) 2007; 37 Francisco (10.1016/j.apnum.2008.03.028_bib014) 2005; 177 Pang (10.1016/j.apnum.2008.03.028_bib030) 1997; 79 Kanzow (10.1016/j.apnum.2008.03.028_bib024) 2007; 22 Walker (10.1016/j.apnum.2008.03.028_bib031) 1990; 27 Coleman (10.1016/j.apnum.2008.03.028_bib007) 1996; 6 Nocedal (10.1016/j.apnum.2008.03.028_bib029) 1999 |
| References_xml | – volume: 86 start-page: 615 year: 1999 end-page: 635 ident: bib019 article-title: Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumptions publication-title: Math. Program. – start-page: 259 year: 2003 end-page: 278 ident: bib012 article-title: Filter-type algorithms for solving systems of algebraic equations and inequalities publication-title: High Performance Algorithms and Software for Nonlinear Optimization – volume: 28 start-page: 131 year: 2004 end-page: 147 ident: bib026 article-title: Regularized Newton methods for convex minimization problems with singular solutions publication-title: Comput. Optim. Appl. – volume: 35 start-page: 177 year: 2006 end-page: 197 ident: bib022 article-title: On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints publication-title: Comput. Optim. Appl. – volume: 44 start-page: 257 year: 2003 end-page: 280 ident: bib001 article-title: An affine scaling trust-region approach to bound-constrained nonlinear systems publication-title: Appl. Numer. Math. – year: 1981 ident: bib016 article-title: Practical Optimization – volume: 4 start-page: 553 year: 1983 end-page: 572 ident: bib028 article-title: Computing a trust-region step publication-title: SIAM J. Sci. Stat. Comput. – volume: 9 start-page: 291 year: 1999 end-page: 315 ident: bib010 article-title: A trust-region approach to nonlinear systems of equalities and inequalities publication-title: SIAM J. Optim. – year: 1985 ident: bib021 article-title: Matrix Analysis – volume: 27 start-page: 1227 year: 1990 end-page: 1262 ident: bib031 article-title: Least-squares secant update methods for underdetermined systems publication-title: SIAM J. Numer. Math. – year: 2000 ident: bib006 article-title: Trust-Region Methods publication-title: SMPS/SIAM Series on Optimization – volume: vol. 187 year: 1981 ident: bib020 article-title: Test Examples for Nonlinear Programming Codes publication-title: Lecture Notes in Economics and Mathematical Systems – volume: 33 start-page: 3 year: 2007 end-page: 25 ident: bib018 article-title: FILTRANE: a Fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems publication-title: ACM Trans. Math. Software – volume: 6 start-page: 381 year: 1973 end-page: 387 ident: bib008 article-title: Newton's method for nonlinear inequalities publication-title: Numer. Math. – volume: 15 start-page: 17 year: 2004 end-page: 38 ident: bib017 article-title: A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares publication-title: SIAM J. Optim. – volume: 79 start-page: 299 year: 1997 end-page: 332 ident: bib030 article-title: Error bounds in mathematical programming publication-title: Math. Program. – volume: vol. 33 year: 1999 ident: bib013 article-title: Handbook of Test Problems in Local and Global Optimization publication-title: Nonconvex Optimization and its Applications – volume: 91 start-page: 201 year: 2002 end-page: 213 ident: bib011 article-title: Benchmarking optimization software with performance profiles publication-title: Math. Program. – volume: vol. 630 start-page: 105 year: 1978 end-page: 116 ident: bib027 article-title: The Levenberg–Marquardt algorithm: implementation and theory publication-title: Proc. 7th Biennial Conf. – volume: 71 start-page: 179 year: 1995 end-page: 194 ident: bib005 article-title: A Gauss–Newton method for convex composite optimization publication-title: Math. Program. – volume: 20 start-page: 1 year: 2005 end-page: 22 ident: bib002 article-title: An interior global method for nonlinear systems with simple bounds publication-title: Optim. Methods Softw. – volume: 172 start-page: 375 year: 2004 end-page: 397 ident: bib025 article-title: Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints publication-title: J. Comput. Appl. Math. – volume: 22 start-page: 713 year: 2007 end-page: 735 ident: bib024 article-title: Projected filter trust region methods for a semismooth least-squares formulation of mixed complementarity problems publication-title: Optim. Method Soft. – year: 1999 ident: bib029 article-title: Numerical Optimization publication-title: Springer Series in Operations Research – volume: 21 start-page: 290 year: 1981 end-page: 300 ident: bib015 article-title: A global quadratic algorithm for solving a system of mixed equalities and inequalities publication-title: Math. Program. – volume: 21 start-page: 1 year: 1999 end-page: 23 ident: bib004 article-title: A subspace, interior and conjugate gradient method for large-scale bound-constrained minimization problems publication-title: SIAM J. Sci. Comput. – volume: 6 start-page: 418 year: 1996 end-page: 445 ident: bib007 article-title: An interior trust-region approach for nonlinear minimization subject to bounds publication-title: SIAM J. Optim. – volume: 44 start-page: 1535 year: 2006 end-page: 1555 ident: bib003 article-title: Subspace trust-region methods for large bound-constrained nonlinear equations publication-title: SIAM J. Numer. Anal. – year: 1983 ident: bib009 article-title: Numerical Methods for Unconstrained Optimization and Nonlinear Equations – volume: 177 start-page: 67 year: 2005 end-page: 88 ident: bib014 article-title: An interior-point method for solving box-constrained underdetermined nonlinear systems publication-title: J. Comput. Appl. Math. – volume: 37 start-page: 329 year: 2007 end-page: 353 ident: bib023 article-title: An interior-point affine-scaling trust-region method for semismooth equations with box constraints publication-title: Comput. Optim. Appl. – year: 2000 ident: 10.1016/j.apnum.2008.03.028_bib006 article-title: Trust-Region Methods doi: 10.1137/1.9780898719857 – volume: 91 start-page: 201 year: 2002 ident: 10.1016/j.apnum.2008.03.028_bib011 article-title: Benchmarking optimization software with performance profiles publication-title: Math. Program. doi: 10.1007/s101070100263 – volume: 21 start-page: 1 year: 1999 ident: 10.1016/j.apnum.2008.03.028_bib004 article-title: A subspace, interior and conjugate gradient method for large-scale bound-constrained minimization problems publication-title: SIAM J. Sci. Comput. doi: 10.1137/S1064827595289108 – volume: 21 start-page: 290 year: 1981 ident: 10.1016/j.apnum.2008.03.028_bib015 article-title: A global quadratic algorithm for solving a system of mixed equalities and inequalities publication-title: Math. Program. doi: 10.1007/BF01584250 – volume: 4 start-page: 553 year: 1983 ident: 10.1016/j.apnum.2008.03.028_bib028 article-title: Computing a trust-region step publication-title: SIAM J. Sci. Stat. Comput. doi: 10.1137/0904038 – volume: 44 start-page: 257 year: 2003 ident: 10.1016/j.apnum.2008.03.028_bib001 article-title: An affine scaling trust-region approach to bound-constrained nonlinear systems publication-title: Appl. Numer. Math. doi: 10.1016/S0168-9274(02)00170-8 – volume: 20 start-page: 1 year: 2005 ident: 10.1016/j.apnum.2008.03.028_bib002 article-title: An interior global method for nonlinear systems with simple bounds publication-title: Optim. Methods Softw. doi: 10.1080/10556780500140516 – volume: 172 start-page: 375 year: 2004 ident: 10.1016/j.apnum.2008.03.028_bib025 article-title: Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2004.02.013 – volume: 15 start-page: 17 year: 2004 ident: 10.1016/j.apnum.2008.03.028_bib017 article-title: A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares publication-title: SIAM J. Optim. doi: 10.1137/S1052623403422637 – volume: 22 start-page: 713 year: 2007 ident: 10.1016/j.apnum.2008.03.028_bib024 article-title: Projected filter trust region methods for a semismooth least-squares formulation of mixed complementarity problems publication-title: Optim. Method Soft. doi: 10.1080/10556780701296455 – year: 1999 ident: 10.1016/j.apnum.2008.03.028_bib029 article-title: Numerical Optimization doi: 10.1007/b98874 – volume: 33 start-page: 3 year: 2007 ident: 10.1016/j.apnum.2008.03.028_bib018 article-title: FILTRANE: a Fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems publication-title: ACM Trans. Math. Software doi: 10.1145/1206040.1206043 – volume: 28 start-page: 131 year: 2004 ident: 10.1016/j.apnum.2008.03.028_bib026 article-title: Regularized Newton methods for convex minimization problems with singular solutions publication-title: Comput. Optim. Appl. doi: 10.1023/B:COAP.0000026881.96694.32 – year: 1985 ident: 10.1016/j.apnum.2008.03.028_bib021 – start-page: 259 year: 2003 ident: 10.1016/j.apnum.2008.03.028_bib012 article-title: Filter-type algorithms for solving systems of algebraic equations and inequalities – year: 1983 ident: 10.1016/j.apnum.2008.03.028_bib009 – volume: 86 start-page: 615 year: 1999 ident: 10.1016/j.apnum.2008.03.028_bib019 article-title: Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumptions publication-title: Math. Program. doi: 10.1007/s101070050107 – volume: 27 start-page: 1227 year: 1990 ident: 10.1016/j.apnum.2008.03.028_bib031 article-title: Least-squares secant update methods for underdetermined systems publication-title: SIAM J. Numer. Math. doi: 10.1137/0727071 – year: 1981 ident: 10.1016/j.apnum.2008.03.028_bib016 – volume: 35 start-page: 177 year: 2006 ident: 10.1016/j.apnum.2008.03.028_bib022 article-title: On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-006-6514-5 – volume: 79 start-page: 299 year: 1997 ident: 10.1016/j.apnum.2008.03.028_bib030 article-title: Error bounds in mathematical programming publication-title: Math. Program. doi: 10.1007/BF02614322 – volume: vol. 187 year: 1981 ident: 10.1016/j.apnum.2008.03.028_bib020 article-title: Test Examples for Nonlinear Programming Codes – volume: vol. 630 start-page: 105 year: 1978 ident: 10.1016/j.apnum.2008.03.028_bib027 article-title: The Levenberg–Marquardt algorithm: implementation and theory – volume: 6 start-page: 418 year: 1996 ident: 10.1016/j.apnum.2008.03.028_bib007 article-title: An interior trust-region approach for nonlinear minimization subject to bounds publication-title: SIAM J. Optim. doi: 10.1137/0806023 – volume: 44 start-page: 1535 year: 2006 ident: 10.1016/j.apnum.2008.03.028_bib003 article-title: Subspace trust-region methods for large bound-constrained nonlinear equations publication-title: SIAM J. Numer. Anal. doi: 10.1137/040611951 – volume: 71 start-page: 179 year: 1995 ident: 10.1016/j.apnum.2008.03.028_bib005 article-title: A Gauss–Newton method for convex composite optimization publication-title: Math. Program. doi: 10.1007/BF01585997 – volume: 6 start-page: 381 year: 1973 ident: 10.1016/j.apnum.2008.03.028_bib008 article-title: Newton's method for nonlinear inequalities publication-title: Numer. Math. doi: 10.1007/BF01436488 – volume: 37 start-page: 329 year: 2007 ident: 10.1016/j.apnum.2008.03.028_bib023 article-title: An interior-point affine-scaling trust-region method for semismooth equations with box constraints publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-007-9029-9 – volume: 9 start-page: 291 year: 1999 ident: 10.1016/j.apnum.2008.03.028_bib010 article-title: A trust-region approach to nonlinear systems of equalities and inequalities publication-title: SIAM J. Optim. doi: 10.1137/S1052623494276208 – volume: vol. 33 year: 1999 ident: 10.1016/j.apnum.2008.03.028_bib013 article-title: Handbook of Test Problems in Local and Global Optimization – volume: 177 start-page: 67 year: 2005 ident: 10.1016/j.apnum.2008.03.028_bib014 article-title: An interior-point method for solving box-constrained underdetermined nonlinear systems publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2004.08.013 |
| SSID | ssj0005540 |
| Score | 2.04891 |
| Snippet | Two trust-region methods for systems of mixed nonlinear equalities, general inequalities and simple bounds are proposed. The first method is based on a... |
| SourceID | pascalfrancis crossref elsevier |
| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 859 |
| SubjectTerms | Bound-constrained optimization Calculus of variations and optimal control Error bound Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Numerical methods in mathematical programming, optimization and calculus of variations Sciences and techniques of general use Systems of nonlinear equalities and inequalities Trust-region methods |
| Title | Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities |
| URI | https://dx.doi.org/10.1016/j.apnum.2008.03.028 |
| Volume | 59 |
| WOSCitedRecordID | wos000264925900002&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-5460 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0005540 issn: 0168-9274 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Pb9MwFLZKxwEJ8XtiwCYfuI1MSRw39nGgTQOxaYchlVPkOLaUqctKm079D_i3efGvZMAqduASVXacOv2-2s_2e99D6H1MaadqA5YbqVSUlVxHMI9nkWS0jAllQtlA4a_52RmbTvn5aPTTx8LczPKmYes1n_9XqKEMwO5CZ-8Bd3goFMBnAB2uADtc_w34Looi6hIuALA_VqJaGFFWmyraqC_sN1YfQ3ghZ-POcVWvwfhUNsoS1s9Ol6kvGNqx3nhtVvbEZ7Z_FfRfg5V-KiSstmsXElSHCeC0c_ozxR9hpK1U24aq82tzlODbdD4otav1WxO8dwT0u5UTGE1Tm4bHD7dOALweHmjbidfV-Gl48tcR3m42XB6IObyh84UlB7GLML-lp_3bPBe8D71j22VhHuIycZICHvIAbaU55WyMtg4_H02_9N5C1MTWhjfyAlbGVfCPvtxl5DyeiyVAom3OlIEhc_EMPXErEHxomfMcjVTzAj11gGI31i9fou9DIuFAJOyIhIFIOBAJOyLha40NkXDPGwxEwkMivULfjo8uPp1ELhFHJAkhbZQlJa-SkgiW0UrngohYUk0SoSQvhYoZh3U33CJkniaKMZ5IrTURIjXyP5psozF0SL1GOBeZSjVManElMy0TTmUptNSCskqA9b6DUv_LFdKp1HfJUmbFBtR20IfQaG5FWjbfPvGQFM7OtPZjASTb3HDvFoDhy1KwBDNY-r-5X0feokf93-YdGreLldpFD-VNWy8Xe46CvwCAR7G3 |
| linkProvider | Elsevier |
| 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=Trust-region+quadratic+methods+for+nonlinear+systems+of+mixed+equalities+and+inequalities&rft.jtitle=Applied+numerical+mathematics&rft.au=Macconi%2C+Maria&rft.au=Morini%2C+Benedetta&rft.au=Porcelli%2C+Margherita&rft.date=2009-05-01&rft.issn=0168-9274&rft.volume=59&rft.issue=5&rft.spage=859&rft.epage=876&rft_id=info:doi/10.1016%2Fj.apnum.2008.03.028&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_apnum_2008_03_028 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0168-9274&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0168-9274&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0168-9274&client=summon |