Class information for:
Level 1: CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18682 540 23.7 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
18682 1                   CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY 540

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 CONVEX FEASIBILITY PROBLEM authKW 1050599 9% 39% 48
2 ALTERNATING PROJECTIONS authKW 569989 5% 40% 25
3 CONVEX FEASIBILITY authKW 452359 2% 67% 12
4 KACZMARZ ALGORITHM authKW 452359 2% 67% 12
5 FRIEDRICHS ANGLE authKW 402102 1% 89% 8
6 SUPERIORIZATION authKW 361890 1% 80% 8
7 STRING AVERAGING authKW 307857 1% 78% 7
8 INCONSISTENT LEAST SQUARES PROBLEMS authKW 290805 1% 86% 6
9 BLOCK ITERATION authKW 282729 1% 100% 5
10 ROW ACTION METHODS authKW 277070 1% 70% 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 16547 69% 0% 371
2 Operations Research & Management Science 4428 21% 0% 112
3 Mathematics 1989 27% 0% 146
4 Computer Science, Software Engineering 971 10% 0% 55
5 Computer Science, Theory & Methods 135 5% 0% 27
6 Engineering, General 56 3% 0% 16
7 Physics, Mathematical 48 3% 0% 18
8 Mathematics, Interdisciplinary Applications 39 2% 0% 13
9 Computer Science, Interdisciplinary Applications 28 3% 0% 14
10 Automation & Control Systems 27 2% 0% 10

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 SCI SYSTEMSIMULAT 10 56546 0% 100% 1
2 FGBUN ST PETERSBURG SCI ECOL SAFETY 56546 0% 100% 1
3 IL INFORMAT TECHNOL 56546 0% 100% 1
4 JACQUES LOUIS LIONSCNRS 56546 0% 100% 1
5 LEHRSTUHL SENSORIK 56546 0% 100% 1
6 SYST BIOCHEM GRP 56544 0% 50% 2
7 PROC SISTEMAS 30832 1% 9% 6
8 BASICAS C 28272 0% 50% 1
9 DTO COMPUTAC 28272 0% 50% 1
10 WORKGRP INTELLIGENT SYST DESIGN MFG 28272 0% 50% 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 SIAM JOURNAL ON OPTIMIZATION 11354 4% 1% 19
2 MATHEMATICAL PROGRAMMING 9582 4% 1% 23
3 NUMERICAL ALGORITHMS 7110 3% 1% 15
4 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 6885 2% 1% 10
5 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 6403 4% 0% 24
6 LINEAR ALGEBRA AND ITS APPLICATIONS 6338 7% 0% 36
7 OILFIELD REVIEW 5948 0% 5% 2
8 INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH 5129 1% 2% 6
9 JOURNAL OF APPROXIMATION THEORY 3703 3% 0% 15
10 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 3535 2% 1% 9

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 CONVEX FEASIBILITY PROBLEM 1050599 9% 39% 48 Search CONVEX+FEASIBILITY+PROBLEM Search CONVEX+FEASIBILITY+PROBLEM
2 ALTERNATING PROJECTIONS 569989 5% 40% 25 Search ALTERNATING+PROJECTIONS Search ALTERNATING+PROJECTIONS
3 CONVEX FEASIBILITY 452359 2% 67% 12 Search CONVEX+FEASIBILITY Search CONVEX+FEASIBILITY
4 KACZMARZ ALGORITHM 452359 2% 67% 12 Search KACZMARZ+ALGORITHM Search KACZMARZ+ALGORITHM
5 FRIEDRICHS ANGLE 402102 1% 89% 8 Search FRIEDRICHS+ANGLE Search FRIEDRICHS+ANGLE
6 SUPERIORIZATION 361890 1% 80% 8 Search SUPERIORIZATION Search SUPERIORIZATION
7 STRING AVERAGING 307857 1% 78% 7 Search STRING+AVERAGING Search STRING+AVERAGING
8 INCONSISTENT LEAST SQUARES PROBLEMS 290805 1% 86% 6 Search INCONSISTENT+LEAST+SQUARES+PROBLEMS Search INCONSISTENT+LEAST+SQUARES+PROBLEMS
9 BLOCK ITERATION 282729 1% 100% 5 Search BLOCK+ITERATION Search BLOCK+ITERATION
10 ROW ACTION METHODS 277070 1% 70% 7 Search ROW+ACTION+METHODS Search ROW+ACTION+METHODS

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 NIKAZAD, T , ABBASI, M , MIRZAPOUR, M , (2016) CONVERGENCE OF STRING-AVERAGING METHOD FOR A CLASS OF OPERATORS.OPTIMIZATION METHODS & SOFTWARE. VOL. 31. ISSUE 6. P. 1189 -1208 24 86% 0
2 LOPEZ, W , RAYDAN, M , (2016) AN ACCELERATION SCHEME FOR DYKSTRA'S ALGORITHM.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 63. ISSUE 1. P. 29 -44 24 60% 2
3 LOPEZ, W , (2016) A NEW GEOMETRIC ACCELERATION OF THE VON NEUMANN-HALPERIN PROJECTION METHOD.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 45. ISSUE . P. 330 -341 16 94% 0
4 SORENSEN, HHB , HANSEN, PC , (2014) MULTICORE PERFORMANCE OF BLOCK ALGEBRAIC ITERATIVE RECONSTRUCTION METHODS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 5. P. C524 -C546 20 77% 2
5 CENSOR, Y , ZASLAVSKI, AJ , (2015) STRICT FEJER MONOTONICITY BY SUPERIORIZATION OF FEASIBILITY-SEEKING PROJECTION METHODS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 165. ISSUE 1. P. 172 -187 16 76% 1
6 CENSOR, Y , (2015) WEAK AND STRONG SUPERIORIZATION: BETWEEN FEASIBILITY-SEEKING AND MINIMIZATION.ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA. VOL. 23. ISSUE 3. P. 41 -54 16 76% 1
7 CENSOR, Y , MANSOUR, R , (2016) NEW DOUGLAS-RACHFORD ALGORITHMIC STRUCTURES AND THEIR CONVERGENCE ANALYSES.SIAM JOURNAL ON OPTIMIZATION. VOL. 26. ISSUE 1. P. 474 -487 16 70% 0
8 NIKAZAD, T , ABBASI, M , (2015) PERTURBATION-RESILIENT ITERATIVE METHODS WITH AN INFINITE POOL OF MAPPINGS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 53. ISSUE 1. P. 390 -404 12 92% 1
9 NIKAZAD, T , KARIMPOUR, M , (2016) CONTROLLING NOISE ERROR IN BLOCK ITERATIVE METHODS.NUMERICAL ALGORITHMS. VOL. 73. ISSUE 4. P. 907 -925 11 100% 0
10 REICH, S , ZALAS, R , (2016) A MODULAR STRING AVERAGING PROCEDURE FOR SOLVING THE COMMON FIXED POINT PROBLEM FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACE.NUMERICAL ALGORITHMS. VOL. 72. ISSUE 2. P. 297 -323 19 58% 0

Classes with closest relation at Level 1


Rank Class id link
1 36011 ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES
2 23956 FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS
3 186 NONEXPANSIVE MAPPING//STRONG CONVERGENCE//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
4 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
5 20798 TURNPIKE PROPERTY//GOOD FUNCTION//INFINITE HORIZON PROBLEMS
6 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
7 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
8 32881 ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING
9 36482 ALADIN LIMITED AREA MESO SCALE MODEL//AVANTAGES SOCIO ECONOMIQUES//BATCH MONTE CARLO ITERATIONS
10 4259 IEEE TRANSACTIONS ON MEDICAL IMAGING//MODEL OBSERVER//IMAGE RECONSTRUCTION

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