Class information for:
Level 1: SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16373 657 23.2 39%


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
16373 1                   SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING 657

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 SEMI INFINITE PROGRAMMING authKW 2498432 18% 46% 118
2 LINEAR INEQUALITY SYSTEMS authKW 838884 3% 95% 19
3 LINEAR SEMI INFINITE PROGRAMMING authKW 811199 4% 73% 24
4 SEMI INFINITE OPTIMIZATION authKW 714424 4% 55% 28
5 FEASIBLE SET MAPPING authKW 653562 2% 94% 15
6 GENERALIZED SEMI INFINITE PROGRAMMING authKW 594882 2% 80% 16
7 COMPLEXITY OF LINEAR PROGRAMMING authKW 325330 1% 100% 7
8 GENERALIZED SEMI INFINITE OPTIMIZATION authKW 325330 1% 100% 7
9 MATH C address 307288 4% 29% 23
10 CONDITION NUMBER THEOREM authKW 278854 1% 100% 6

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 34338 52% 0% 339
2 Mathematics, Applied 25011 76% 0% 502
3 Computer Science, Software Engineering 2247 14% 0% 91
4 Mathematics 424 12% 0% 81
5 Social Sciences, Mathematical Methods 363 3% 0% 20
6 Mathematics, Interdisciplinary Applications 75 3% 0% 19
7 Automation & Control Systems 74 3% 0% 17
8 Computer Science, Theory & Methods 42 3% 0% 19
9 Economics 30 3% 0% 22
10 Engineering, General 19 2% 0% 12

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 C 307288 4% 29% 23
2 ACTUARIAL SCI PHYS MATH 92951 0% 100% 2
3 DEV STAT COMP 92951 0% 100% 2
4 ACTUARY MATH 92947 1% 50% 4
5 DEP STAT OPERAT 61962 1% 33% 4
6 STAT OPERAT 50441 9% 2% 59
7 ACTUARY PHYS MATH 46476 0% 100% 1
8 DEP ACTUARY MATH 46476 0% 100% 1
9 DEP ECON ECON HIST 46476 0% 100% 1
10 DEPR STAT OPERAT 46476 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 MATHEMATICAL PROGRAMMING 81768 11% 2% 74
2 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 81599 9% 3% 57
3 SIAM JOURNAL ON OPTIMIZATION 81224 9% 3% 56
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 26735 8% 1% 54
5 JOURNAL OF GLOBAL OPTIMIZATION 16432 4% 1% 28
6 TOP 14829 2% 3% 10
7 SET-VALUED ANALYSIS 14237 2% 3% 10
8 MATHEMATICS OF OPERATIONS RESEARCH 10849 3% 1% 21
9 SET-VALUED AND VARIATIONAL ANALYSIS 8917 1% 3% 7
10 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 8025 3% 1% 18

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 SEMI INFINITE PROGRAMMING 2498432 18% 46% 118 Search SEMI+INFINITE+PROGRAMMING Search SEMI+INFINITE+PROGRAMMING
2 LINEAR INEQUALITY SYSTEMS 838884 3% 95% 19 Search LINEAR+INEQUALITY+SYSTEMS Search LINEAR+INEQUALITY+SYSTEMS
3 LINEAR SEMI INFINITE PROGRAMMING 811199 4% 73% 24 Search LINEAR+SEMI+INFINITE+PROGRAMMING Search LINEAR+SEMI+INFINITE+PROGRAMMING
4 SEMI INFINITE OPTIMIZATION 714424 4% 55% 28 Search SEMI+INFINITE+OPTIMIZATION Search SEMI+INFINITE+OPTIMIZATION
5 FEASIBLE SET MAPPING 653562 2% 94% 15 Search FEASIBLE+SET+MAPPING Search FEASIBLE+SET+MAPPING
6 GENERALIZED SEMI INFINITE PROGRAMMING 594882 2% 80% 16 Search GENERALIZED+SEMI+INFINITE+PROGRAMMING Search GENERALIZED+SEMI+INFINITE+PROGRAMMING
7 COMPLEXITY OF LINEAR PROGRAMMING 325330 1% 100% 7 Search COMPLEXITY+OF+LINEAR+PROGRAMMING Search COMPLEXITY+OF+LINEAR+PROGRAMMING
8 GENERALIZED SEMI INFINITE OPTIMIZATION 325330 1% 100% 7 Search GENERALIZED+SEMI+INFINITE+OPTIMIZATION Search GENERALIZED+SEMI+INFINITE+OPTIMIZATION
9 CONDITION NUMBER THEOREM 278854 1% 100% 6 Search CONDITION+NUMBER+THEOREM Search CONDITION+NUMBER+THEOREM
10 CONVEX SEMI INFINITE PROGRAMMING 270400 1% 73% 8 Search CONVEX+SEMI+INFINITE+PROGRAMMING Search CONVEX+SEMI+INFINITE+PROGRAMMING

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 STEIN, O , (2012) HOW TO SOLVE A SEMI-INFINITE OPTIMIZATION PROBLEM.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 223. ISSUE 2. P. 312 -320 41 69% 17
2 XU, MW , WU, SY , YE, JJ , (2014) SOLVING SEMI-INFINITE PROGRAMS BY SMOOTHING PROJECTED GRADIENT METHOD.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 59. ISSUE 3. P. 591 -616 29 91% 1
3 LOPEZ, MA , (2012) STABILITY IN LINEAR OPTIMIZATION AND RELATED TOPICS. A PERSONAL TOUR.TOP. VOL. 20. ISSUE 2. P. 217 -244 34 79% 4
4 HETTICH, R , KORTANEK, KO , (1993) SEMIINFINITE PROGRAMMING - THEORY, METHODS, AND APPLICATIONS.SIAM REVIEW. VOL. 35. ISSUE 3. P. 380-429 49 58% 440
5 LOPEZ, M , STILL, G , (2007) SEMI-INFINITE PROGRAMMING.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 180. ISSUE 2. P. 491-518 28 72% 87
6 AMELUNXEN, D , BURGISSER, P , (2015) PROBABILISTIC ANALYSIS OF THE GRASSMANN CONDITION NUMBER.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 15. ISSUE 1. P. 3 -51 20 95% 1
7 HARWOOD, SM , BARTON, PI , (2016) LOWER LEVEL DUALITY AND THE GLOBAL SOLUTION OF GENERALIZED SEMI-INFINITE PROGRAMS.OPTIMIZATION. VOL. 65. ISSUE 6. P. 1129 -1149 21 84% 0
8 PANG, LP , LV, J , WANG, JH , (2016) CONSTRAINED INCREMENTAL BUNDLE METHOD WITH PARTIAL INEXACT ORACLE FOR NONSMOOTH CONVEX SEMI-INFINITE PROGRAMMING PROBLEMS.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 64. ISSUE 2. P. 433 -465 28 57% 0
9 OCHOA, PD , DE SERIO, VNV , (2012) STABILITY OF THE PRIMAL-DUAL PARTITION IN LINEAR SEMI-INFINITE PROGRAMMING.OPTIMIZATION. VOL. 61. ISSUE 12. P. 1449 -1465 16 100% 2
10 MITSOS, A , TSOUKALAS, A , (2015) GLOBAL OPTIMIZATION OF GENERALIZED SEMI-INFINITE PROGRAMS VIA RESTRICTION OF THE RIGHT HAND SIDE.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 61. ISSUE 1. P. 1 -17 22 67% 1

Classes with closest relation at Level 1


Rank Class id link
1 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
2 10620 FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER
3 8178 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
4 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
5 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
6 20968 TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//CONTAMINANT SIMULATION
7 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
8 35137 A PREPOSTERIORI DISTRIBUTION//AND IDENTIFIERS//CONTROL OF A GROUP OF DYNAMICAL OBJECTS
9 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY
10 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION

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