Class information for:
Level 1: UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3823 1900 22.1 47%


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
3823 1                   UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD 1900

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 UNCONSTRAINED OPTIMIZATION authKW 5317821 23% 75% 440
2 GLOBAL CONVERGENCE authKW 2219737 22% 33% 423
3 TRUST REGION METHOD authKW 923880 7% 41% 139
4 NONMONOTONE LINE SEARCH authKW 787377 3% 78% 63
5 QUASI NEWTON METHOD authKW 753298 7% 36% 131
6 LINE SEARCH authKW 550914 5% 39% 89
7 CONJUGATE GRADIENT METHOD authKW 544417 8% 22% 156
8 SUFFICIENT DESCENT CONDITION authKW 466532 2% 97% 30
9 SUFFICIENT DESCENT PROPERTY authKW 385668 1% 100% 24
10 SPECTRAL GRADIENT METHOD authKW 362092 1% 87% 26

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 82657 82% 0% 1550
2 Operations Research & Management Science 44717 35% 0% 661
3 Computer Science, Software Engineering 7282 15% 0% 278
4 Mathematics 619 9% 0% 176
5 Mathematics, Interdisciplinary Applications 290 3% 0% 62
6 Engineering, General 168 3% 0% 53
7 Computer Science, Cybernetics 65 1% 0% 12
8 Computer Science, Theory & Methods 61 2% 0% 43
9 Automation & Control Systems 56 2% 0% 29
10 Computer Science, Interdisciplinary Applications 19 2% 0% 29

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 ASADABAD BRANCH 130161 0% 90% 9
2 STATE SCI ENGN COMP 92952 3% 11% 52
3 SCI COMPUTAT OPTIMIZAT SYST ENGN SCOPE 89266 1% 56% 10
4 GUANGXI UNIV MATH ITS PLICAT 80347 0% 100% 5
5 COMPUTAT MATH SCI ENGN COMP 71929 3% 7% 61
6 ELECT COMP CONTROL 64278 0% 100% 4
7 NAMUR COMPLEX SYST NAXYS 36678 1% 18% 13
8 NLP2CT 36155 0% 75% 3
9 ADV MODELING OPTIMIZAT 32139 0% 100% 2
10 COMP SCI SYST A RUBERTI 32139 0% 100% 2

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 METHODS & SOFTWARE 185272 6% 11% 107
2 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 122003 5% 8% 99
3 SIAM JOURNAL ON OPTIMIZATION 102466 6% 6% 107
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 60343 7% 3% 138
5 MATHEMATICAL PROGRAMMING 60118 6% 3% 108
6 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 24398 2% 4% 42
7 NUMERICAL ALGORITHMS 21556 3% 3% 49
8 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 19086 6% 1% 110
9 JOURNAL OF COMPUTATIONAL MATHEMATICS 18233 2% 3% 39
10 OPTIMIZATION LETTERS 14110 2% 3% 29

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 UNCONSTRAINED OPTIMIZATION 5317821 23% 75% 440 Search UNCONSTRAINED+OPTIMIZATION Search UNCONSTRAINED+OPTIMIZATION
2 GLOBAL CONVERGENCE 2219737 22% 33% 423 Search GLOBAL+CONVERGENCE Search GLOBAL+CONVERGENCE
3 TRUST REGION METHOD 923880 7% 41% 139 Search TRUST+REGION+METHOD Search TRUST+REGION+METHOD
4 NONMONOTONE LINE SEARCH 787377 3% 78% 63 Search NONMONOTONE+LINE+SEARCH Search NONMONOTONE+LINE+SEARCH
5 QUASI NEWTON METHOD 753298 7% 36% 131 Search QUASI+NEWTON+METHOD Search QUASI+NEWTON+METHOD
6 LINE SEARCH 550914 5% 39% 89 Search LINE+SEARCH Search LINE+SEARCH
7 CONJUGATE GRADIENT METHOD 544417 8% 22% 156 Search CONJUGATE+GRADIENT+METHOD Search CONJUGATE+GRADIENT+METHOD
8 SUFFICIENT DESCENT CONDITION 466532 2% 97% 30 Search SUFFICIENT+DESCENT+CONDITION Search SUFFICIENT+DESCENT+CONDITION
9 SUFFICIENT DESCENT PROPERTY 385668 1% 100% 24 Search SUFFICIENT+DESCENT+PROPERTY Search SUFFICIENT+DESCENT+PROPERTY
10 SPECTRAL GRADIENT METHOD 362092 1% 87% 26 Search SPECTRAL+GRADIENT+METHOD Search SPECTRAL+GRADIENT+METHOD

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 YUAN, GL , WEI, ZX , ZHAO, QM , (2014) A MODIFIED POLAK-RIBIERE-POLYAK CONJUGATE GRADIENT ALGORITHM FOR LARGE-SCALE OPTIMIZATION PROBLEMS.IIE TRANSACTIONS. VOL. 46. ISSUE 4. P. 397 -413 36 97% 6
2 DONG, XL , LI, WJ , HE, YB , (2017) SOME MODIFIED YABE-TAKANO CONJUGATE GRADIENT METHODS WITH SUFFICIENT DESCENT CONDITION.RAIRO-OPERATIONS RESEARCH. VOL. 51. ISSUE 1. P. 67 -77 34 100% 0
3 AHOOKHOSH, M , AMINI, K , KIMIAEI, M , (2015) A GLOBALLY CONVERGENT TRUST-REGION METHOD FOR LARGE-SCALE SYMMETRIC NONLINEAR SYSTEMS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 36. ISSUE 7. P. 830 -855 35 100% 0
4 LIVIERIS, IE , PINTELAS, P , (2015) A MODIFIED PERRY CONJUGATE GRADIENT METHOD AND ITS GLOBAL CONVERGENCE.OPTIMIZATION LETTERS. VOL. 9. ISSUE 5. P. 999 -1015 33 100% 1
5 BABAIE-KAFAKI, S , GHANBARI, R , (2014) TWO HYBRID NONLINEAR CONJUGATE GRADIENT METHODS BASED ON A MODIFIED SECANT EQUATION.OPTIMIZATION. VOL. 63. ISSUE 7. P. 1027 -1042 34 100% 0
6 ESMAEILI, H , KIMIAEI, M , (2014) A NEW ADAPTIVE TRUST-REGION METHOD FOR SYSTEM OF NONLINEAR EQUATIONS.APPLIED MATHEMATICAL MODELLING. VOL. 38. ISSUE 11-12. P. 3003 -3015 31 100% 2
7 AHOOKHOSH, M , AMINI, K , BAHRAMI, S , (2013) TWO DERIVATIVE-FREE PROJECTION APPROACHES FOR SYSTEMS OF LARGE-SCALE NONLINEAR MONOTONE EQUATIONS.NUMERICAL ALGORITHMS. VOL. 64. ISSUE 1. P. 21-42 33 94% 6
8 YUAN, GL , MENG, ZH , LI, Y , (2016) A MODIFIED HESTENES AND STIEFEL CONJUGATE GRADIENT ALGORITHM FOR LARGE-SCALE NONSMOOTH MINIMIZATIONS AND NONLINEAR EQUATIONS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 168. ISSUE 1. P. 129 -152 40 61% 3
9 YUAN, GL , ZHANG, MJ , (2015) A THREE-TERMS POLAK-RIBIERE-POLYAK CONJUGATE GRADIENT ALGORITHM FOR LARGE-SCALE NONLINEAR EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 286. ISSUE . P. 186 -195 31 91% 2
10 YUAN, GL , WEI, ZX , WU, YL , (2010) MODIFIED LIMITED MEMORY BFGS METHOD WITH NONMONOTONE LINE SEARCH FOR UNCONSTRAINED OPTIMIZATION.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 47. ISSUE 4. P. 767-788 33 97% 2

Classes with closest relation at Level 1


Rank Class id link
1 8178 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
2 21563 DERIVATIVE FREE OPTIMIZATION//DIRECT SEARCH METHODS//DIRECT SEARCH
3 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
4 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
5 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
6 23956 FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS
7 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS
8 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
9 19237 ACYCLIC EDGE COLORING//AUTOMATIC DIFFERENTIATION//COMPUTATIONAL DIFFERENTIATION
10 36011 ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES

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