Class information for:
Level 1: SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
8178 1283 23.0 44%



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
8178 1                   SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE 1283

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 SUPERLINEAR CONVERGENCE authKW 749840 8% 29% 109
2 NONLINEAR PROGRAMMING authKW 738980 18% 14% 226
3 GLOBAL CONVERGENCE authKW 684200 15% 15% 193
4 FILTER METHOD authKW 526456 4% 44% 50
5 INEQUALITY CONSTRAINED OPTIMIZATION authKW 502730 2% 81% 26
6 SEQUENTIAL QUADRATIC PROGRAMMING authKW 465631 6% 24% 83
7 CONSTRAINED OPTIMIZATION authKW 441169 12% 12% 153
8 MARATOS EFFECT authKW 385529 1% 90% 18
9 SQP METHOD authKW 311520 2% 55% 24
10 INEXACT RESTORATION authKW 304612 1% 80% 16

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 52429 79% 0% 1015
2 Operations Research & Management Science 50616 45% 0% 576
3 Computer Science, Software Engineering 4507 14% 0% 180
4 Mathematics 264 8% 0% 99
5 Mathematics, Interdisciplinary Applications 256 4% 0% 47
6 Engineering, General 243 4% 0% 49
7 COMPUTER APPLICATIONS & CYBERNETICS 218 0% 0% 5
8 Automation & Control Systems 211 3% 0% 39
9 Computer Science, Interdisciplinary Applications 64 3% 0% 33
10 Computer Science, Theory & Methods 45 2% 0% 30

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 VMK 167568 1% 54% 13
2 MATH STAT SCI COMP 122793 1% 30% 17
3 COMP SCI IME USP 71395 0% 100% 3
4 SEOR MATH SCI 47597 0% 100% 2
5 MANAGEMENT IND 31730 0% 67% 2
6 XINGJIAN SCI LIBERAL ART 31730 0% 67% 2
7 ZENTRUM MATH M1 31730 0% 67% 2
8 SEOR 27627 0% 19% 6
9 ANTENNAS EN SCATTERING 23798 0% 100% 1
10 ARTMENT ENGN SCI PL MATH 23798 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 SIAM JOURNAL ON OPTIMIZATION 197437 10% 7% 122
2 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 109320 6% 6% 77
3 MATHEMATICAL PROGRAMMING 99324 9% 4% 114
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 98819 11% 3% 145
5 OPTIMIZATION METHODS & SOFTWARE 62302 4% 5% 51
6 JOURNAL OF GLOBAL OPTIMIZATION 17151 3% 2% 40
7 MATHEMATICAL PROGRAMMING STUDY 12129 1% 5% 11
8 JOURNAL OF COMPUTATIONAL MATHEMATICS 7091 2% 1% 20
9 APPLIED MATHEMATICS AND COMPUTATION 6960 6% 0% 72
10 MATHEMATICS OF OPERATIONS RESEARCH 5535 2% 1% 21

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 SUPERLINEAR CONVERGENCE 749840 8% 29% 109 Search SUPERLINEAR+CONVERGENCE Search SUPERLINEAR+CONVERGENCE
2 NONLINEAR PROGRAMMING 738980 18% 14% 226 Search NONLINEAR+PROGRAMMING Search NONLINEAR+PROGRAMMING
3 GLOBAL CONVERGENCE 684200 15% 15% 193 Search GLOBAL+CONVERGENCE Search GLOBAL+CONVERGENCE
4 FILTER METHOD 526456 4% 44% 50 Search FILTER+METHOD Search FILTER+METHOD
5 INEQUALITY CONSTRAINED OPTIMIZATION 502730 2% 81% 26 Search INEQUALITY+CONSTRAINED+OPTIMIZATION Search INEQUALITY+CONSTRAINED+OPTIMIZATION
6 SEQUENTIAL QUADRATIC PROGRAMMING 465631 6% 24% 83 Search SEQUENTIAL+QUADRATIC+PROGRAMMING Search SEQUENTIAL+QUADRATIC+PROGRAMMING
7 CONSTRAINED OPTIMIZATION 441169 12% 12% 153 Search CONSTRAINED+OPTIMIZATION Search CONSTRAINED+OPTIMIZATION
8 MARATOS EFFECT 385529 1% 90% 18 Search MARATOS+EFFECT Search MARATOS+EFFECT
9 SQP METHOD 311520 2% 55% 24 Search SQP+METHOD Search SQP+METHOD
10 INEXACT RESTORATION 304612 1% 80% 16 Search INEXACT+RESTORATION Search INEXACT+RESTORATION

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 IZMAILOV, AF , SOLODOV, MV , (2015) CRITICAL LAGRANGE MULTIPLIERS: WHAT WE CURRENTLY KNOW ABOUT THEM, HOW THEY SPOIL OUR LIVES, AND WHAT WE CAN DO ABOUT IT.TOP. VOL. 23. ISSUE 1. P. 1 -26 29 97% 1
2 WACHTER, A , BIEGLER, LT , (2006) ON THE IMPLEMENTATION OF AN INTERIOR-POINT FILTER LINE-SEARCH ALGORITHM FOR LARGE-SCALE NONLINEAR PROGRAMMING.MATHEMATICAL PROGRAMMING. VOL. 106. ISSUE 1. P. 25-57 15 94% 1226
3 IZMAILOV, AF , SOLODOV, MV , (2015) NEWTON-TYPE METHODS: A BROADER VIEW.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 164. ISSUE 2. P. 577 -620 34 81% 0
4 CHEN, L , GOLDFARB, D , (2006) INTERIOR-POINT L(2)-PENALTY METHODS FOR NONLINEAR PROGRAMMING WITH STRONG GLOBAL CONVERGENCE PROPERTIES.MATHEMATICAL PROGRAMMING. VOL. 108. ISSUE 1. P. 1 -36 31 100% 28
5 SHEN, CG , ZHANG, LH , WANG, B , SHAO, WQ , (2014) GLOBAL AND LOCAL CONVERGENCE OF A NONMONOTONE SQP METHOD FOR CONSTRAINED NONLINEAR OPTIMIZATION.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 59. ISSUE 3. P. 435 -473 31 84% 0
6 ANDREANI, R , MARTINEZ, JM , SANTOS, LT , SVAITER, BF , (2014) ON THE BEHAVIOUR OF CONSTRAINED OPTIMIZATION METHODS WHEN LAGRANGE MULTIPLIERS DO NOT EXIST.OPTIMIZATION METHODS & SOFTWARE. VOL. 29. ISSUE 3. P. 646-657 28 90% 1
7 ANDREANI, R , BIRGIN, EG , MARTINEZ, JM , SCHUVERDT, ML , (2008) ON AUGMENTED LAGRANGIAN METHODS WITH GENERAL LOWER-LEVEL CONSTRAINTS.SIAM JOURNAL ON OPTIMIZATION. VOL. 18. ISSUE 4. P. 1286 -1309 28 82% 100
8 ARMAND, P , BENOIST, J , OMHENI, R , PATELOUP, V , (2014) STUDY OF A PRIMAL-DUAL ALGORITHM FOR EQUALITY CONSTRAINED MINIMIZATION.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 59. ISSUE 3. P. 405 -433 27 87% 0
9 JIN, Z , (2013) A GLOBALLY CONVERGENT LINE SEARCH FILTER SQP METHOD FOR INEQUALITY CONSTRAINED OPTIMIZATION.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 24 100% 0
10 IZMAILOV, AF , SOLODOV, MV , USKOV, EI , (2015) COMBINING STABILIZED SQP WITH THE AUGMENTED LAGRANGIAN ALGORITHM.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 62. ISSUE 2. P. 405 -429 23 92% 2

Classes with closest relation at Level 1



Rank Class id link
1 3823 UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD
2 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
3 21563 DERIVATIVE FREE OPTIMIZATION//DIRECT SEARCH METHODS//DIRECT SEARCH
4 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
5 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
6 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
7 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
8 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
9 17040 COMPLETELY POSITIVE MATRICES//COPOSITIVE MATRICES//COPOSITIVE PROGRAMMING
10 20968 TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//CONTAMINANT SIMULATION

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