Class information for:
Level 2: MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
114 25008 22.6 47%


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
186 1                   NONEXPANSIVE MAPPING//STRONG CONVERGENCE//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 4003
2059 1                   MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM 2371
2750 1                   INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM 2158
3266 1                   METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL 2025
3823 1                   UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD 1900
6918 1                   VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY 1429
6938 1                   SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY 1426
8000 1                   NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE 1304
8178 1                   SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE 1283
8188 1                   VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION 1282
10620 1                   FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER 1048
16373 1                   SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING 657
17040 1                   COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING 621
17758 1                   BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION 584
17848 1                   FINANCE OPERAT MANAGEMENT//PROJECTED DYNAMICAL SYSTEMS//EVOLUTIONARY VARIATIONAL INEQUALITY 580
18682 1                   CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY 540
22378 1                   HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM 384
23850 1                   HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS 333
23956 1                   FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS 328
24371 1                   MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM 314
27905 1                   QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL 218
32881 1                   ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING 132
36011 1                   ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES 88

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 MATHEMATICS, APPLIED WoSSC 930279 76% 4% 18893
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS journal 910057 8% 39% 1944
3 GLOBAL CONVERGENCE authKW 872482 4% 74% 963
4 VARIATIONAL INEQUALITY authKW 868941 5% 55% 1302
5 SIAM JOURNAL ON OPTIMIZATION journal 772166 4% 59% 1066
6 NONEXPANSIVE MAPPING authKW 733181 3% 87% 692
7 EQUILIBRIUM PROBLEM authKW 616559 2% 96% 526
8 MATHEMATICAL PROGRAMMING journal 595006 5% 40% 1233
9 INTERIOR POINT METHODS authKW 513686 3% 63% 674
10 OPERATIONS RESEARCH & MANAGEMENT SCIENCE WoSSC 510089 32% 5% 8108

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 Mathematics, Applied 930279 76% 4% 18893
2 Operations Research & Management Science 510089 32% 5% 8108
3 Mathematics 155395 35% 2% 8652
4 Computer Science, Software Engineering 27258 8% 1% 2012
5 Automation & Control Systems 1732 2% 0% 530
6 Mathematics, Interdisciplinary Applications 1233 2% 0% 518
7 Computer Science, Cybernetics 756 1% 1% 150
8 Social Sciences, Mathematical Methods 475 1% 0% 172
9 Engineering, General 420 2% 0% 383
10 COMPUTER APPLICATIONS & CYBERNETICS 337 0% 1% 29

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 MATH 234946 36% 2% 9103
2 PL MATH 114356 8% 5% 1935
3 RINS 84630 1% 30% 233
4 EXCELLENCE MATH 48045 0% 35% 113
5 IRVING K BARBER 44539 0% 89% 41
6 MATH COMP SCI 38859 4% 3% 1096
7 INFORMAT PL OPTIMIZAT 37580 0% 56% 55
8 AG ANDERSON MANAGEMENT 33464 0% 89% 31
9 MATH EDUC 32339 1% 10% 257
10 SYST ANAL INFORMAT TECHNOL 26001 0% 89% 24

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 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 910057 8% 39% 1944
2 SIAM JOURNAL ON OPTIMIZATION 772166 4% 59% 1066
3 MATHEMATICAL PROGRAMMING 595006 5% 40% 1233
4 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 393211 3% 46% 708
5 JOURNAL OF GLOBAL OPTIMIZATION 319288 3% 34% 762
6 OPTIMIZATION METHODS & SOFTWARE 265220 2% 47% 465
7 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 260988 3% 34% 630
8 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 247365 2% 50% 408
9 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 220939 2% 38% 484
10 OPTIMIZATION LETTERS 142115 1% 35% 334

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 GLOBAL CONVERGENCE 872482 4% 74% 963 Search GLOBAL+CONVERGENCE Search GLOBAL+CONVERGENCE
2 VARIATIONAL INEQUALITY 868941 5% 55% 1302 Search VARIATIONAL+INEQUALITY Search VARIATIONAL+INEQUALITY
3 NONEXPANSIVE MAPPING 733181 3% 87% 692 Search NONEXPANSIVE+MAPPING Search NONEXPANSIVE+MAPPING
4 EQUILIBRIUM PROBLEM 616559 2% 96% 526 Search EQUILIBRIUM+PROBLEM Search EQUILIBRIUM+PROBLEM
5 INTERIOR POINT METHODS 513686 3% 63% 674 Search INTERIOR+POINT+METHODS Search INTERIOR+POINT+METHODS
6 STRONG CONVERGENCE 472133 2% 72% 542 Search STRONG+CONVERGENCE Search STRONG+CONVERGENCE
7 UNCONSTRAINED OPTIMIZATION 464063 2% 81% 472 Search UNCONSTRAINED+OPTIMIZATION Search UNCONSTRAINED+OPTIMIZATION
8 FIXED POINT 358975 4% 27% 1093 Search FIXED+POINT Search FIXED+POINT
9 VECTOR OPTIMIZATION 350587 1% 88% 328 Search VECTOR+OPTIMIZATION Search VECTOR+OPTIMIZATION
10 SUPERLINEAR CONVERGENCE 339353 1% 86% 324 Search SUPERLINEAR+CONVERGENCE Search SUPERLINEAR+CONVERGENCE

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 BERINDE, V , (2007) ITERATIVE APPROXIMATION OF FIXED POINTS - INTRODUCTION.ITERATIVE APPROXIMATION OF FIXED POINTS. VOL. 1912. ISSUE . P. 1 -306 333 78% 225
2 CHIDUME, C , (2009) GEOMETRIC PROPERTIES OF BANACH SPACES AND NONLINEAR ITERATIONS.GEOMETRIC PROPERTIES OF BANACH SPACES AND NONLINEAR ITERATIONS. VOL. 1965. ISSUE . P. 1 -+ 219 92% 0
3 SCHACHINGER, W , UCHIDA, G , BOMZE, IM , (2012) THINK CO(MPLETELY)POSITIVE! MATRIX PROPERTIES, EXAMPLES AND A CLUSTERED BIBLIOGRAPHY ON COPOSITIVE OPTIMIZATION.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 52. ISSUE 3. P. 423 -445 118 76% 15
4 YUAN, GL , MENG, ZH , LI, Y , (2016) A MODIFIED HESTENES AND STIEFEL CONJUGATE GRADIENT ALGORITHM FOR LARGE-SCALE NONSMOOTH MINIMIZATIONS AND NONLINEAR EQUATIONS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 168. ISSUE 1. P. 129 -152 61 92% 3
5 XIU, NH , ZHANG, JZ , (2003) SOME RECENT ADVANCES IN PROJECTION-TYPE METHODS FOR VARIATIONAL INEQUALITIES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 152. ISSUE 1-2. P. 559 -585 83 95% 45
6 NOOR, MA , (2004) SOME DEVELOPMENTS IN GENERAL VARIATIONAL INEQUALITIES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 152. ISSUE 1. P. 199-277 67 87% 272
7 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 66 90% 0
8 PANG, JS , (1997) ERROR BOUNDS IN MATHEMATICAL PROGRAMMING.MATHEMATICAL PROGRAMMING. VOL. 79. ISSUE 1-3. P. 299-332 77 94% 239
9 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 62 90% 4
10 KRUGER, AY , (2015) ERROR BOUNDS AND METRIC SUBREGULARITY.OPTIMIZATION. VOL. 64. ISSUE 1. P. 49 -79 50 98% 7

Classes with closest relation at Level 2


Rank Class id link
1 3448 DERIVATIVE FREE OPTIMIZATION//GLOBAL OPTIMIZATION//FILLED FUNCTION METHOD
2 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
3 4017 APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS
4 3681 JOURNAL OF APPROXIMATION THEORY//EXISTENCE PROBLEM//POLYA ALGORITHM
5 2302 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
6 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
7 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
8 1673 COPULA//INSURANCE MATHEMATICS & ECONOMICS//STOCHASTIC PROGRAMMING
9 998 APPROXIMATION ALGORITHMS//MATHEMATICAL PROGRAMMING//OPERATIONS RESEARCH & MANAGEMENT SCIENCE
10 2554 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//FRICTIONAL CONTACT

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