Class information for:
Level 1: ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
32881 132 17.3 41%


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
32881 1                   ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING 132

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 ABSOLUTE VALUE EQUATION authKW 9789879 35% 92% 46
2 GENERALIZED NEWTON METHOD authKW 871916 11% 27% 14
3 A POSTERIORI PROCESSING authKW 462660 2% 100% 2
4 SOLUTION SET OF CONVEX PROBLEMS authKW 462660 2% 100% 2
5 TWO STAGE STOCHASTIC LINEAR PROGRAMMING authKW 462660 2% 100% 2
6 OPTIMAL CORRECTION authKW 308439 2% 67% 2
7 52A40 INEQUALITIES AND EXTREMUM PROBLEMS authKW 231330 1% 100% 1
8 A RECURRING TUPLE OF REFERENCE FRAGMENTS authKW 231330 1% 100% 1
9 ABSOLULTE VALUE EQUATION authKW 231330 1% 100% 1
10 ABSOLUTE COMPLEMENTARITY PROBLEMS authKW 231330 1% 100% 1

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 4073 69% 0% 91
2 Operations Research & Management Science 2981 34% 0% 45
3 COMPUTER APPLICATIONS & CYBERNETICS 791 2% 0% 3
4 Mathematics 411 25% 0% 33
5 Physics, Mathematical 198 11% 0% 15
6 Automation & Control Systems 75 5% 0% 7
7 Computer Science, Cybernetics 31 2% 0% 2
8 Instruments & Instrumentation 27 5% 0% 7
9 Multidisciplinary Sciences 19 2% 0% 3
10 Computer Science, Software Engineering 16 3% 0% 4

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 BUSINESS CUSTOMER OPERAT UNIT 231330 1% 100% 1
2 COMP SCI DATA ANAL 231330 1% 100% 1
3 SOBOLEV MATH 129041 17% 2% 23
4 HARNEDAN BRANCH 115664 1% 50% 1
5 DORODNITSYN COMP 59003 4% 5% 5
6 PUBL BASIC 38553 1% 17% 1
7 WACEIO 33045 1% 14% 1
8 PL OPTIMIZAT 16388 2% 2% 3
9 MATH MECH 6558 8% 0% 10
10 SIBERIAN BRANCH 4116 16% 0% 21

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 OPTIMIZATION LETTERS 62045 12% 2% 16
2 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 37421 10% 1% 13
3 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 24695 11% 1% 14
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 5522 8% 0% 11
5 DOKLADY MATHEMATICS 3699 5% 0% 7
6 CYBERNETICS 3101 2% 1% 2
7 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 3042 2% 0% 3
8 AUTOMATION AND REMOTE CONTROL 3014 5% 0% 7
9 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2863 3% 0% 4
10 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 1995 3% 0% 4

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 ABSOLUTE VALUE EQUATION 9789879 35% 92% 46 Search ABSOLUTE+VALUE+EQUATION Search ABSOLUTE+VALUE+EQUATION
2 GENERALIZED NEWTON METHOD 871916 11% 27% 14 Search GENERALIZED+NEWTON+METHOD Search GENERALIZED+NEWTON+METHOD
3 A POSTERIORI PROCESSING 462660 2% 100% 2 Search A+POSTERIORI+PROCESSING Search A+POSTERIORI+PROCESSING
4 SOLUTION SET OF CONVEX PROBLEMS 462660 2% 100% 2 Search SOLUTION+SET+OF+CONVEX+PROBLEMS Search SOLUTION+SET+OF+CONVEX+PROBLEMS
5 TWO STAGE STOCHASTIC LINEAR PROGRAMMING 462660 2% 100% 2 Search TWO+STAGE+STOCHASTIC+LINEAR+PROGRAMMING Search TWO+STAGE+STOCHASTIC+LINEAR+PROGRAMMING
6 OPTIMAL CORRECTION 308439 2% 67% 2 Search OPTIMAL+CORRECTION Search OPTIMAL+CORRECTION
7 52A40 INEQUALITIES AND EXTREMUM PROBLEMS 231330 1% 100% 1 Search 52A40+INEQUALITIES+AND+EXTREMUM+PROBLEMS Search 52A40+INEQUALITIES+AND+EXTREMUM+PROBLEMS
8 A RECURRING TUPLE OF REFERENCE FRAGMENTS 231330 1% 100% 1 Search A+RECURRING+TUPLE+OF+REFERENCE+FRAGMENTS Search A+RECURRING+TUPLE+OF+REFERENCE+FRAGMENTS
9 ABSOLULTE VALUE EQUATION 231330 1% 100% 1 Search ABSOLULTE+VALUE+EQUATION Search ABSOLULTE+VALUE+EQUATION
10 ABSOLUTE COMPLEMENTARITY PROBLEMS 231330 1% 100% 1 Search ABSOLUTE+COMPLEMENTARITY+PROBLEMS Search ABSOLUTE+COMPLEMENTARITY+PROBLEMS

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 FENG, JM , LIU, SY , (2016) AN IMPROVED GENERALIZED NEWTON METHOD FOR ABSOLUTE VALUE EQUATIONS.SPRINGERPLUS. VOL. 5. ISSUE . P. - 19 95% 0
2 MANGASARIAN, OL , (2015) A HYBRID ALGORITHM FOR SOLVING THE ABSOLUTE VALUE EQUATION.OPTIMIZATION LETTERS. VOL. 9. ISSUE 7. P. 1469 -1474 14 100% 2
3 LI, CX , (2016) A MODIFIED GENERALIZED NEWTON METHOD FOR ABSOLUTE VALUE EQUATIONS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 170. ISSUE 3. P. 1055 -1059 14 100% 0
4 MANGASARIAN, OL , (2014) ABSOLUTE VALUE EQUATION SOLUTION VIA LINEAR PROGRAMMING.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 161. ISSUE 3. P. 870-876 14 100% 4
5 IQBAL, J , IQBAL, A , ARIF, M , (2015) LEVENBERG-MARQUARDT METHOD FOR SOLVING SYSTEMS OF ABSOLUTE VALUE EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 282. ISSUE . P. 134 -138 12 100% 4
6 CRUZ, JYB , FERREIRA, OP , PRUDENTE, LF , (2016) ON THE GLOBAL CONVERGENCE OF THE INEXACT SEMI-SMOOTH NEWTON METHOD FOR ABSOLUTE VALUE EQUATION.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 65. ISSUE 1. P. 93 -108 14 78% 2
7 MANGASARIAN, OL , (2013) ABSOLUTE VALUE EQUATION SOLUTION VIA DUAL COMPLEMENTARITY.OPTIMIZATION LETTERS. VOL. 7. ISSUE 4. P. 625-630 11 100% 4
8 MANGASARIAN, OL , (2012) PRIMAL-DUAL BILINEAR PROGRAMMING SOLUTION OF THE ABSOLUTE VALUE EQUATION.OPTIMIZATION LETTERS. VOL. 6. ISSUE 7. P. 1527-1533 11 100% 2
9 LI, CX , (2016) ON THE MODIFIED HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR A CLASS OF WEAKLY ABSOLUTE VALUE EQUATIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 13 76% 0
10 BERDYSHEV, VI , VASIN, VV , MATVEEV, SV , MAKHNEV, AA , SUBBOTIN, YN , SUBBOTINA, NN , USHAKOV, VN , KHACHAI, MY , CHENTSOV, AG , (2015) IVAN IVANOVICH EREMIN.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 289. ISSUE . P. S1 -S8 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
2 36011 ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES
3 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
4 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
5 27565 INVERSE OPTIMIZATION//OPTIMIZAT DISCRETE MATH//INVERSE COMBINATORIAL OPTIMIZATION
6 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
7 18193 MODEL MANAGEMENT//STRUCTURED MODELING//MODEL MANAGEMENT SYSTEMS
8 15613 INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS
9 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
10 13927 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING

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