Class information for:
Level 1: MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24371 314 18.6 29%


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
24371 1                   MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM 314

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 MATRIX CLASSES authKW 994550 5% 68% 15
2 ROUGH CONVEXITY authKW 486229 2% 100% 5
3 LINEAR COMPLEMENTARITY PROBLEM authKW 480694 15% 11% 46
4 N MATRIX authKW 405189 2% 83% 5
5 PRINCIPAL PIVOTING authKW 405189 2% 83% 5
6 SEMIMONOTONE MATRIX authKW 388983 1% 100% 4
7 GAMMA CONVEX FUNCTIONS authKW 291738 1% 100% 3
8 OUTER GAMMA CONVEXITY authKW 291738 1% 100% 3
9 LEMKES ALGORITHM authKW 222273 1% 57% 4
10 SOLUTION MAP authKW 216583 2% 32% 7

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 12684 79% 0% 247
2 Operations Research & Management Science 11692 44% 0% 137
3 Mathematics 1310 29% 0% 90
4 Computer Science, Software Engineering 1153 14% 0% 45
5 Agricultural Economics & Policy 21 1% 0% 2
6 Automation & Control Systems 17 2% 0% 6
7 Social Sciences, Mathematical Methods 13 1% 0% 3
8 Multidisciplinary Sciences 11 1% 0% 4
9 Computer Science, Theory & Methods 10 2% 0% 7
10 Humanities, Multidisciplinary 6 1% 0% 2

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 CAU GIAY DIST 97246 0% 100% 1
2 IND OPER ENG 97246 0% 100% 1
3 OFF E52 303 97246 0% 100% 1
4 CHAIR MATH ECON 48622 0% 50% 1
5 OFF 32D 630 48622 0% 50% 1
6 OFF E52 380B 48622 0% 50% 1
7 SCI JURIDIQUES ECON SOCIALES 48622 0% 50% 1
8 WESTHOLLOW 6076 0% 6% 1
9 SCI COMP PL SOFTWARE 5401 0% 6% 1
10 IMCA 5116 0% 5% 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 55129 13% 1% 42
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 26294 12% 1% 37
3 LINEAR ALGEBRA AND ITS APPLICATIONS 22894 17% 0% 52
4 MATHEMATICS OF OPERATIONS RESEARCH 18616 6% 1% 19
5 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 11656 5% 1% 16
6 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 5242 3% 1% 10
7 MATHEMATICAL PROGRAMMING STUDY 3687 1% 1% 3
8 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 3316 3% 0% 8
9 NAVAL RESEARCH LOGISTICS 1188 2% 0% 5
10 SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY 1184 0% 1% 1

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 MATRIX CLASSES 994550 5% 68% 15 Search MATRIX+CLASSES Search MATRIX+CLASSES
2 ROUGH CONVEXITY 486229 2% 100% 5 Search ROUGH+CONVEXITY Search ROUGH+CONVEXITY
3 LINEAR COMPLEMENTARITY PROBLEM 480694 15% 11% 46 Search LINEAR+COMPLEMENTARITY+PROBLEM Search LINEAR+COMPLEMENTARITY+PROBLEM
4 N MATRIX 405189 2% 83% 5 Search N+MATRIX Search N+MATRIX
5 PRINCIPAL PIVOTING 405189 2% 83% 5 Search PRINCIPAL+PIVOTING Search PRINCIPAL+PIVOTING
6 SEMIMONOTONE MATRIX 388983 1% 100% 4 Search SEMIMONOTONE+MATRIX Search SEMIMONOTONE+MATRIX
7 GAMMA CONVEX FUNCTIONS 291738 1% 100% 3 Search GAMMA+CONVEX+FUNCTIONS Search GAMMA+CONVEX+FUNCTIONS
8 OUTER GAMMA CONVEXITY 291738 1% 100% 3 Search OUTER+GAMMA+CONVEXITY Search OUTER+GAMMA+CONVEXITY
9 LEMKES ALGORITHM 222273 1% 57% 4 Search LEMKES+ALGORITHM Search LEMKES+ALGORITHM
10 SOLUTION MAP 216583 2% 32% 7 Search SOLUTION+MAP Search SOLUTION+MAP

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 ADLER, I , COTTLE, RW , VERMA, S , (2006) SUFFICIENT MATRICES BELONG TO L.MATHEMATICAL PROGRAMMING. VOL. 106. ISSUE 2. P. 391 -401 14 93% 2
2 DUBEY, D , NEOGY, SK , (2016) ON HIDDEN Z-MATRICES AND THE LINEAR COMPLEMENTARITY PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 496. ISSUE . P. 81 -100 12 80% 0
3 NEOGY, SK , DAS, AK , (2013) ON WEAK GENERALIZED POSITIVE SUBDEFINITE MATRICES AND THE LINEAR COMPLEMENTARITY PROBLEM.LINEAR & MULTILINEAR ALGEBRA. VOL. 61. ISSUE 7. P. 945-953 9 100% 0
4 COTTLE, RW , (2010) A FIELD GUIDE TO THE MATRIX CLASSES FOUND IN THE LITERATURE OF THE LINEAR COMPLEMENTARITY PROBLEM.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 46. ISSUE 4. P. 571 -580 11 85% 3
5 FLORES-BAZAN, F , LOPEZ, R , (2005) CHARACTERIZING Q-MATRICES BEYOND L-MATRICES.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 127. ISSUE 2. P. 447 -457 10 100% 3
6 ISAC, G , (1992) COMPLEMENTARITY-PROBLEMS.LECTURE NOTES IN MATHEMATICS. VOL. 1528. ISSUE . P. R3-& 42 35% 7
7 DAS, AK , (2016) PROPERTIES OF SOME MATRIX CLASSES BASED ON PRINCIPAL PIVOT TRANSFORM.ANNALS OF OPERATIONS RESEARCH. VOL. 243. ISSUE 1-2. P. 375 -382 9 75% 0
8 MURTHY, GSR , PARTHASARATHY, T , (1995) SOME PROPERTIES OF FULLY SEMIMONOTONE, Q(O)-MATRICES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 16. ISSUE 4. P. 1268-1286 12 100% 9
9 GOWDA, MS , SZNAJDER, R , (1994) THE GENERALIZED ORDER LINEAR COMPLEMENTARITY-PROBLEM.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 15. ISSUE 3. P. 779-795 16 73% 26
10 HU, R , (2011) THE UPPER SEMI-CONTINUITY OF THE SOLUTION MAP TO THE EXTENDED HOMOGENEOUS COMPLEMENTARITY PROBLEM WITH THE R-0-CONDITION.MATHEMATICAL COMMUNICATIONS. VOL. 16. ISSUE 1. P. 227 -234 9 75% 0

Classes with closest relation at Level 1


Rank Class id link
1 32881 ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING
2 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
3 36011 ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES
4 20613 DEFICIENT BASIS//BASIC VARIABLE SET//PIVOT RULE
5 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
6 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
7 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
8 2059 MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM
9 19307 SIMPLICIAL ALGORITHM//INTEGER LABELING//SPLITTING OPERATION
10 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY

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