Class information for:
Level 1: COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17040 621 20.1 46%


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
17040 1                   COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING 621

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 COMPLETELY POSITIVE MATRICES authKW 1101397 5% 80% 28
2 COPOSITIVE MATRICES authKW 1059692 4% 86% 25
3 COPOSITIVE PROGRAMMING authKW 991592 4% 92% 22
4 GLOBAL OPTIMALITY CONDITIONS authKW 591136 4% 52% 23
5 CP RANK authKW 488802 2% 76% 13
6 STANDARD QUADRATIC OPTIMIZATION authKW 424965 2% 79% 11
7 COPOSITIVE CONE authKW 398275 1% 90% 9
8 DOUBLY NONNEGATIVE MATRICES authKW 398275 1% 90% 9
9 COPOSITIVE MATRIX authKW 351209 2% 71% 10
10 COPOSITIVE OPTIMIZATION authKW 295020 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 24005 44% 0% 276
2 Mathematics, Applied 22388 74% 0% 462
3 Mathematics 3213 32% 0% 197
4 Computer Science, Software Engineering 1687 12% 0% 77
5 Mathematics, Interdisciplinary Applications 62 3% 0% 17
6 Engineering, General 38 2% 0% 15
7 Automation & Control Systems 34 2% 0% 12
8 Computer Science, Information Systems 6 1% 0% 9
9 Social Sciences, Mathematical Methods 5 0% 0% 3
10 Computer Science, Theory & Methods 3 1% 0% 8

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 IUP 339 98340 0% 100% 2
2 ISOR 95348 1% 24% 8
3 STATE SOFTWARE DEV ENVIRONMLMIB 63215 0% 43% 3
4 ACTUARIAL DEV 49170 0% 100% 1
5 ADV ELE OOPT SYST GRP 49170 0% 100% 1
6 ANAL FUNC ESTRUTURAS LINEA LICACOE 49170 0% 100% 1
7 CIENCIAS TECNOLCMA 49170 0% 100% 1
8 COMPUT MATH SCI ENGN COMPUT 49170 0% 100% 1
9 COMPUTAT SCI ENGN COMP 49170 0% 100% 1
10 ITS TWI SSOR 49170 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 JOURNAL OF GLOBAL OPTIMIZATION 55525 8% 2% 50
2 MATHEMATICAL PROGRAMMING 54973 10% 2% 59
3 SIAM JOURNAL ON OPTIMIZATION 43824 6% 2% 40
4 LINEAR ALGEBRA AND ITS APPLICATIONS 39442 15% 1% 96
5 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 21925 4% 2% 24
6 OPTIMIZATION LETTERS 18569 3% 2% 19
7 PACIFIC JOURNAL OF OPTIMIZATION 15635 2% 3% 11
8 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 10343 2% 2% 12
9 OPTIMIZATION METHODS & SOFTWARE 9687 2% 1% 14
10 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 8705 5% 1% 30

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 COMPLETELY POSITIVE MATRICES 1101397 5% 80% 28 Search COMPLETELY+POSITIVE+MATRICES Search COMPLETELY+POSITIVE+MATRICES
2 COPOSITIVE MATRICES 1059692 4% 86% 25 Search COPOSITIVE+MATRICES Search COPOSITIVE+MATRICES
3 COPOSITIVE PROGRAMMING 991592 4% 92% 22 Search COPOSITIVE+PROGRAMMING Search COPOSITIVE+PROGRAMMING
4 GLOBAL OPTIMALITY CONDITIONS 591136 4% 52% 23 Search GLOBAL+OPTIMALITY+CONDITIONS Search GLOBAL+OPTIMALITY+CONDITIONS
5 CP RANK 488802 2% 76% 13 Search CP+RANK Search CP+RANK
6 STANDARD QUADRATIC OPTIMIZATION 424965 2% 79% 11 Search STANDARD+QUADRATIC+OPTIMIZATION Search STANDARD+QUADRATIC+OPTIMIZATION
7 COPOSITIVE CONE 398275 1% 90% 9 Search COPOSITIVE+CONE Search COPOSITIVE+CONE
8 DOUBLY NONNEGATIVE MATRICES 398275 1% 90% 9 Search DOUBLY+NONNEGATIVE+MATRICES Search DOUBLY+NONNEGATIVE+MATRICES
9 COPOSITIVE MATRIX 351209 2% 71% 10 Search COPOSITIVE+MATRIX Search COPOSITIVE+MATRIX
10 COPOSITIVE OPTIMIZATION 295020 1% 100% 6 Search COPOSITIVE+OPTIMIZATION Search COPOSITIVE+OPTIMIZATION

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 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 -445 104 67% 15
2 HIRIART-URRUTY, JB , SEEGER, A , (2010) A VARIATIONAL APPROACH TO COPOSITIVE MATRICES.SIAM REVIEW. VOL. 52. ISSUE 4. P. 593-629 56 86% 45
3 BOMZE, IM , (2012) COPOSITIVE OPTIMIZATION - RECENT DEVELOPMENTS AND APPLICATIONS.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 216. ISSUE 3. P. 509 -520 50 68% 36
4 SHAKED-MONERER, N , DUR, M , BERMAN, A , (2015) OPEN PROBLEMS IN THE THEORY OF COMPLETELY POSITIVE AND COPOSITIVE MATRICES.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 29. ISSUE . P. 46 -58 41 89% 0
5 EICHFELDER, G , JAHN, J , (2008) SET-SEMIDEFINITE OPTIMIZATION.JOURNAL OF CONVEX ANALYSIS. VOL. 15. ISSUE 4. P. 767 -801 26 87% 19
6 XU, J , YAO, Y , (2011) AN ALGORITHM FOR DETERMINING COPOSITIVE MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 11. P. 2784-2792 24 89% 0
7 BRAS, CP , IUSEM, AN , JUDICE, JJ , (2016) ON THE QUADRATIC EIGENVALUE COMPLEMENTARITY PROBLEM.JOURNAL OF GLOBAL OPTIMIZATION. VOL. 66. ISSUE 2. P. 153 -171 17 94% 2
8 SPONSEL, J , DUR, M , (2014) FACTORIZATION AND CUTTING PLANES FOR COMPLETELY POSITIVE MATRICES BY COPOSITIVE PROJECTION.MATHEMATICAL PROGRAMMING. VOL. 143. ISSUE 1-2. P. 211 -229 21 88% 4
9 BOMZE, IM , EICHFELDER, G , (2013) COPOSITIVITY DETECTION BY DIFFERENCE-OF-CONVEX DECOMPOSITION AND OMEGA-SUBDIVISION.MATHEMATICAL PROGRAMMING. VOL. 138. ISSUE 1-2. P. 365-400 22 81% 8
10 XIA, Y , WANG, S , SHEU, RL , (2016) S-LEMMA WITH EQUALITY AND ITS APPLICATIONS.MATHEMATICAL PROGRAMMING. VOL. 156. ISSUE 1-2. P. 513 -547 20 87% 0

Classes with closest relation at Level 1


Rank Class id link
1 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
2 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
3 13927 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING
4 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
5 24233 MAXIMUM CLIQUE//MAXIMUM CLIQUE PROBLEM//CLIQUE RELAXATIONS
6 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
7 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
8 23205 CANONICAL DUALITY THEORY//TRIALITY THEORY//CANONICAL DUALITY
9 8093 CANDECOMP//TENSOR DECOMPOSITION//NONNEGATIVE TENSOR
10 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX

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