Class information for:
Level 1: NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8000 1304 26.1 54%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
114 2             MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 25008
8000 1                   NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE 1304

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NONLINEAR COMPLEMENTARITY PROBLEM authKW 1446921 9% 54% 115
2 MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS authKW 739467 4% 69% 46
3 GLOBAL CONVERGENCE authKW 652404 15% 15% 190
4 NONSMOOTH EQUATIONS authKW 614014 3% 67% 39
5 SMOOTHING NEWTON METHOD authKW 550909 3% 59% 40
6 COMPLEMENTARITY PROBLEM authKW 514999 7% 25% 88
7 D GAP FUNCTION authKW 421471 1% 100% 18
8 STOCHASTIC LINEAR COMPLEMENTARITY PROBLEM authKW 421471 1% 100% 18
9 GENERALIZED NASH EQUILIBRIUM PROBLEM authKW 418958 2% 62% 29
10 NCP FUNCTION authKW 395508 2% 68% 25

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Operations Research & Management Science 60632 49% 0% 635
2 Mathematics, Applied 59500 84% 0% 1089
3 Computer Science, Software Engineering 3510 12% 0% 161
4 Mathematics 727 12% 0% 151
5 Mathematics, Interdisciplinary Applications 303 4% 0% 51
6 Engineering, General 226 4% 0% 48
7 Computer Science, Cybernetics 146 1% 0% 14
8 Automation & Control Systems 102 2% 0% 29
9 Computer Science, Interdisciplinary Applications 7 1% 0% 17
10 Mechanics 2 2% 0% 20

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ORCT 156094 1% 67% 10
2 SYST ANAL INFORMAT TECHNOL 104921 1% 41% 11
3 OPTIMIZAT PROXIMAT 74927 0% 80% 4
4 ADV TECHNOL MATH 53211 0% 45% 5
5 VMK 35114 0% 25% 6
6 PL MATH PHYS 32979 3% 3% 44
7 COMP SYST SCI ANTONIO RUBERTI 24970 0% 27% 4
8 AM2 23415 0% 100% 1
9 ARTMENT IND SYST ENGN 23415 0% 100% 1
10 BUKIT MERAH CENT 23415 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SIAM JOURNAL ON OPTIMIZATION 120239 7% 5% 96
2 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 107557 6% 6% 77
3 MATHEMATICAL PROGRAMMING 87694 8% 3% 108
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 54886 8% 2% 109
5 OPTIMIZATION METHODS & SOFTWARE 54292 4% 5% 48
6 PACIFIC JOURNAL OF OPTIMIZATION 41606 2% 7% 26
7 JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 31866 2% 4% 32
8 JOURNAL OF GLOBAL OPTIMIZATION 19506 3% 2% 43
9 MATHEMATICS OF OPERATIONS RESEARCH 18847 3% 2% 39
10 SET-VALUED AND VARIATIONAL ANALYSIS 15494 1% 5% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 NONLINEAR COMPLEMENTARITY PROBLEM 1446921 9% 54% 115 Search NONLINEAR+COMPLEMENTARITY+PROBLEM Search NONLINEAR+COMPLEMENTARITY+PROBLEM
2 MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS 739467 4% 69% 46 Search MATHEMATICAL+PROGRAMS+WITH+EQUILIBRIUM+CONSTRAINTS Search MATHEMATICAL+PROGRAMS+WITH+EQUILIBRIUM+CONSTRAINTS
3 GLOBAL CONVERGENCE 652404 15% 15% 190 Search GLOBAL+CONVERGENCE Search GLOBAL+CONVERGENCE
4 NONSMOOTH EQUATIONS 614014 3% 67% 39 Search NONSMOOTH+EQUATIONS Search NONSMOOTH+EQUATIONS
5 SMOOTHING NEWTON METHOD 550909 3% 59% 40 Search SMOOTHING+NEWTON+METHOD Search SMOOTHING+NEWTON+METHOD
6 COMPLEMENTARITY PROBLEM 514999 7% 25% 88 Search COMPLEMENTARITY+PROBLEM Search COMPLEMENTARITY+PROBLEM
7 D GAP FUNCTION 421471 1% 100% 18 Search D+GAP+FUNCTION Search D+GAP+FUNCTION
8 STOCHASTIC LINEAR COMPLEMENTARITY PROBLEM 421471 1% 100% 18 Search STOCHASTIC+LINEAR+COMPLEMENTARITY+PROBLEM Search STOCHASTIC+LINEAR+COMPLEMENTARITY+PROBLEM
9 GENERALIZED NASH EQUILIBRIUM PROBLEM 418958 2% 62% 29 Search GENERALIZED+NASH+EQUILIBRIUM+PROBLEM Search GENERALIZED+NASH+EQUILIBRIUM+PROBLEM
10 NCP FUNCTION 395508 2% 68% 25 Search NCP+FUNCTION Search NCP+FUNCTION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 PAPPALARDO, M , MASTROENI, G , PASSACANTANDO, M , (2016) MERIT FUNCTIONS: A BRIDGE BETWEEN OPTIMIZATION AND EQUILIBRIA.ANNALS OF OPERATIONS RESEARCH. VOL. 240. ISSUE 1. P. 271 -299 60 82% 0
2 PAPPALARDO, M , MASTROENI, G , PASSACANTANDO, M , (2014) MERIT FUNCTIONS: A BRIDGE BETWEEN OPTIMIZATION AND EQUILIBRIA.4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH. VOL. 12. ISSUE 1. P. 1-33 55 80% 4
3 FISCHER, A , JIANG, H , (2000) MERIT FUNCTIONS FOR COMPLEMENTARITY AND RELATED PROBLEMS: A SURVEY.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 17. ISSUE 2-3. P. 159 -182 55 90% 15
4 BIGI, G , PASSACANTANDO, M , (2016) GAP FUNCTIONS FOR QUASI-EQUILIBRIA.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 66. ISSUE 4. P. 791 -810 33 87% 0
5 HUANG, N , MA, CF , (2012) THE NUMERICAL STUDY OF A REGULARIZED SMOOTHING NEWTON METHOD FOR SOLVING P-0-NCP BASED ON THE GENERALIZED SMOOTHING FISCHER-BURMEISTER FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 13. P. 7253-7269 31 94% 2
6 LIN, GH , FUKUSHIMA, M , (2010) STOCHASTIC EQUILIBRIUM PROBLEMS AND STOCHASTIC MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS: A SURVEY.PACIFIC JOURNAL OF OPTIMIZATION. VOL. 6. ISSUE 3. P. 455 -482 34 83% 23
7 BENKO, M , GFRERER, H , (2016) AN SQP METHOD FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS WITH STRONG CONVERGENCE PROPERTIES.KYBERNETIKA. VOL. 52. ISSUE 2. P. 169 -208 25 100% 0
8 QI, LQ , SUN, DF , ZHOU, GL , (2000) A NEW LOOK AT SMOOTHING NEWTON METHODS FOR NONLINEAR COMPLEMENTARITY PROBLEMS AND BOX CONSTRAINED VARIATIONAL INEQUALITIES.MATHEMATICAL PROGRAMMING. VOL. 87. ISSUE 1. P. 1-35 33 89% 210
9 KANZOW, C , SCHWARTZ, A , (2013) A NEW REGULARIZATION METHOD FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS WITH STRONG CONVERGENCE PROPERTIES.SIAM JOURNAL ON OPTIMIZATION. VOL. 23. ISSUE 2. P. 770-798 28 85% 6
10 TIAN, BS , YANG, XQ , (2016) SMOOTHING POWER PENALTY METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS.PACIFIC JOURNAL OF OPTIMIZATION. VOL. 12. ISSUE 2. P. 461 -484 32 71% 0

Classes with closest relation at Level 1


Rank Class id link
1 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
2 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
3 8178 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
4 17848 FINANCE OPERAT MANAGEMENT//PROJECTED DYNAMICAL SYSTEMS//EVOLUTIONARY VARIATIONAL INEQUALITY
5 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
6 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
7 15719 BILEVEL PROGRAMMING//BILEVEL LINEAR PROGRAMMING//LINEAR BILEVEL PROGRAMMING
8 3823 UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD
9 37035 EQUILIBRIUM PROGRAM//INVERSE CREEP PROBLEMS//TWO PERSON SADDLE POINT GAME
10 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING

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