Class information for:
Level 1: ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
36011 88 19.0 36%


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
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 ISOTONE PROJECTION CONES authKW 2428972 8% 100% 7
2 ISOTONE PROJECTIONS authKW 1734980 6% 100% 5
3 PROJECTION ONTO CONES authKW 1387984 5% 100% 4
4 LATTICIAL CONES authKW 1040988 3% 100% 3
5 ANTIPROJECTION OPERATORS authKW 693992 2% 100% 2
6 CONVEX SUBLATTICES authKW 693992 2% 100% 2
7 GENERALIZED ORDER MONOTONE MAPPINGS authKW 693992 2% 100% 2
8 ISOTONE PROJECTION CONE authKW 693992 2% 100% 2
9 MOREAUS DECOMPOSITION THEOREM authKW 693992 2% 100% 2
10 POS CONE authKW 693992 2% 100% 2

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 2411 38% 0% 33
2 Mathematics, Applied 2140 61% 0% 54
3 Mathematics 690 39% 0% 34
4 Computer Science, Software Engineering 124 9% 0% 8
5 Automation & Control Systems 36 5% 0% 4
6 Social Sciences, Mathematical Methods 26 2% 0% 2
7 Mathematics, Interdisciplinary Applications 6 2% 0% 2
8 Statistics & Probability 4 2% 0% 2
9 Mathematical & Computational Biology 2 1% 0% 1
10 Economics 1 2% 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 COMP AUTOMAT PL MATH 346996 1% 100% 1
2 COMPUTACION 346996 1% 100% 1
3 DPTO MATEMAT INFORMAT 198281 2% 29% 2
4 SHIMOKIYO KU 173497 1% 50% 1
5 CEAFEL 115664 1% 33% 1
6 CRUSTAL DEFORMAT 86748 1% 25% 1
7 PROGRAM OPERAT 19274 2% 3% 2
8 MATH OPTIMIERUNG 14456 1% 4% 1
9 DPTO INGN ELECT 12500 2% 2% 2
10 GEOG CRUSTAL DYNAM 12391 1% 4% 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 5458 8% 0% 7
2 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 4684 6% 0% 5
3 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 4299 5% 0% 4
4 JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN 4060 3% 0% 3
5 JOURNAL OF CONVEX ANALYSIS 1625 2% 0% 2
6 ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH 1602 2% 0% 2
7 OPTIMIZATION LETTERS 1451 2% 0% 2
8 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1365 2% 0% 2
9 OPTIMIZATION 1174 1% 0% 1
10 LINEAR ALGEBRA AND ITS APPLICATIONS 1081 7% 0% 6

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 ISOTONE PROJECTION CONES 2428972 8% 100% 7 Search ISOTONE+PROJECTION+CONES Search ISOTONE+PROJECTION+CONES
2 ISOTONE PROJECTIONS 1734980 6% 100% 5 Search ISOTONE+PROJECTIONS Search ISOTONE+PROJECTIONS
3 PROJECTION ONTO CONES 1387984 5% 100% 4 Search PROJECTION+ONTO+CONES Search PROJECTION+ONTO+CONES
4 LATTICIAL CONES 1040988 3% 100% 3 Search LATTICIAL+CONES Search LATTICIAL+CONES
5 ANTIPROJECTION OPERATORS 693992 2% 100% 2 Search ANTIPROJECTION+OPERATORS Search ANTIPROJECTION+OPERATORS
6 CONVEX SUBLATTICES 693992 2% 100% 2 Search CONVEX+SUBLATTICES Search CONVEX+SUBLATTICES
7 GENERALIZED ORDER MONOTONE MAPPINGS 693992 2% 100% 2 Search GENERALIZED+ORDER+MONOTONE+MAPPINGS Search GENERALIZED+ORDER+MONOTONE+MAPPINGS
8 ISOTONE PROJECTION CONE 693992 2% 100% 2 Search ISOTONE+PROJECTION+CONE Search ISOTONE+PROJECTION+CONE
9 MOREAUS DECOMPOSITION THEOREM 693992 2% 100% 2 Search MOREAUS+DECOMPOSITION+THEOREM Search MOREAUS+DECOMPOSITION+THEOREM
10 POS CONE 693992 2% 100% 2 Search POS+CONE Search POS+CONE

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 NEMETH, AB , NEMETH, SZ , (2012) A DUALITY BETWEEN THE METRIC PROJECTION ONTO A CONVEX CONE AND THE METRIC PROJECTION ONTO ITS DUAL.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 392. ISSUE 2. P. 171-178 9 100% 0
2 NEMETH, SZ , (2007) INEQUALITIES CHARACTERIZING COISOTONE CONES IN EUCLIDEAN SPACES.POSITIVITY. VOL. 11. ISSUE 3. P. 469 -475 8 100% 3
3 NEMETH, SZ , NEMETH, AB , (2011) ABOUT THE EXISTENCE OF AN ISOTONE RETRACTION ONTO A CONVEX CONE.JOURNAL OF CONVEX ANALYSIS. VOL. 18. ISSUE 3. P. 707-720 7 100% 0
4 BARRIOS, JG , CRUZ, JYB , FERREIRA, OP , NEMETH, SZ , (2016) A SEMI-SMOOTH NEWTON METHOD FOR A SPECIAL PIECEWISE LINEAR SYSTEM WITH APPLICATION TO POSITIVELY CONSTRAINED CONVEX QUADRATIC PROGRAMMING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 301. ISSUE . P. 91 -100 12 43% 1
5 NEMETH, SZ , (2010) CHARACTERIZATION OF LATTICIAL CONES IN HILBERT SPACES BY ISOTONICITY AND GENERALIZED INFIMUM.ACTA MATHEMATICA HUNGARICA. VOL. 127. ISSUE 4. P. 376 -390 6 100% 1
6 NEMETH, SZ , (2010) CHARACTERIZATION OF SUBDUAL LATTICIAL CONES IN HILBERT SPACES BY THE ISOTONICITY OF THE METRIC PROJECTION.OPTIMIZATION. VOL. 59. ISSUE 8. P. 1117-1121 6 100% 0
7 BARRIOS, J , FERREIRA, OP , NEMETH, SZ , (2015) PROJECTION ONTO SIMPLICIAL CONES BY PICARD'S METHOD.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 480. ISSUE . P. 27 -43 12 41% 3
8 FERREIRA, OP , NEMETH, SZ , (2015) PROJECTION ONTO SIMPLICIAL CONES BY A SEMI-SMOOTH NEWTON METHOD.OPTIMIZATION LETTERS. VOL. 9. ISSUE 4. P. 731 -741 10 50% 2
9 NEMETH, AB , NEMETH, SZ , (2010) HOW TO PROJECT ONTO AN ISOTONE PROJECTION CONE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 433. ISSUE 1. P. 41-51 6 86% 3
10 NEZMETH, SZ , (2010) ISOTONE RETRACTION CONES IN HILBERT SPACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 73. ISSUE 2. P. 495 -499 5 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 18682 CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY
2 24371 MATRIX CLASSES//ROUGH CONVEXITY//LINEAR COMPLEMENTARITY PROBLEM
3 11168 ORDER RESTRICTED INFERENCE//ORDERED ALTERNATIVES//ORDER RESTRICTION
4 32881 ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING
5 19651 ISOTONIC REGRESSION//MONOTONE REGRESSION//SHAPE CONSTRAINTS
6 37035 EQUILIBRIUM PROGRAM//INVERSE CREEP PROBLEMS//TWO PERSON SADDLE POINT GAME
7 29536 CONTRACT CAPACITY//ENERGY PLANNING POLICY PROGRAM//PHOTOVOLTAIC POWER PLANTS
8 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
9 31587 NEAR AUTOMORPHISM//SORTABILITY//CHESSBOARD PEBBLING
10 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM

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