Class information for:
Level 1: ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
5803 1573 16.9 49%



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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2135 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5069
5803 1                   ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 1573

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 ORDER OF CONVERGENCE authKW 3004641 14% 71% 218
2 SEMILOCAL CONVERGENCE authKW 2772376 10% 90% 159
3 NONLINEAR EQUATIONS authKW 2103402 20% 34% 318
4 NEWTONS METHOD authKW 1680376 19% 29% 295
5 MAJORIZING SEQUENCE authKW 1359779 5% 97% 72
6 NON LINEAR EQUATIONS authKW 1130749 10% 36% 163
7 NONLINEAR EQUATIONS IN BANACH SPACES authKW 1088277 4% 97% 58
8 MATH COMPUTAT address 1035194 7% 48% 111
9 EFFICIENCY INDEX authKW 1018199 5% 66% 80
10 ITERATIVE METHODS authKW 891014 23% 13% 361

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 81583 89% 0% 1399
2 Mathematics 1639 15% 0% 239
3 Computer Science, Software Engineering 280 4% 0% 56
4 Computer Science, Theory & Methods 268 4% 0% 67
5 Operations Research & Management Science 215 3% 0% 49
6 Mathematics, Interdisciplinary Applications 175 3% 0% 45
7 Engineering, General 14 1% 0% 20
8 Computer Science, Interdisciplinary Applications 11 1% 0% 22
9 COMPUTER APPLICATIONS & CYBERNETICS 6 0% 0% 1
10 Physics, Mathematical 1 1% 0% 16

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 MATH COMPUTAT 1035194 7% 48% 111
2 TFG TFM 232926 1% 100% 12
3 MATEMAT MULTIDISCIPLINAR 219872 4% 17% 68
4 MATEMAT LICAC CASTELLON 124224 1% 80% 8
5 UNIV MATEMAT MULTIDISCIPLINAR 95735 2% 19% 26
6 PL MATH 2 87935 2% 15% 31
7 PL MATH 2 3 77642 0% 100% 4
8 ZAHEDAN BRANCH 66699 2% 13% 27
9 ORDENAC 58231 0% 100% 3
10 MATEMAT LICADA ESTADIST 56744 2% 9% 34

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 APPLIED MATHEMATICS AND COMPUTATION 216468 28% 3% 441
2 NUMERICAL ALGORITHMS 98125 6% 5% 95
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 49016 10% 2% 160
4 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 34422 5% 2% 84
5 JOURNAL OF COMPLEXITY 16311 2% 3% 26
6 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 12660 2% 2% 35
7 APPLIED MATHEMATICS LETTERS 11054 3% 1% 55
8 CALCOLO 7531 1% 4% 11
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5201 3% 1% 51
10 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 4675 1% 1% 19

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 ORDER OF CONVERGENCE 3004641 14% 71% 218 Search ORDER+OF+CONVERGENCE Search ORDER+OF+CONVERGENCE
2 SEMILOCAL CONVERGENCE 2772376 10% 90% 159 Search SEMILOCAL+CONVERGENCE Search SEMILOCAL+CONVERGENCE
3 NONLINEAR EQUATIONS 2103402 20% 34% 318 Search NONLINEAR+EQUATIONS Search NONLINEAR+EQUATIONS
4 NEWTONS METHOD 1680376 19% 29% 295 Search NEWTONS+METHOD Search NEWTONS+METHOD
5 MAJORIZING SEQUENCE 1359779 5% 97% 72 Search MAJORIZING+SEQUENCE Search MAJORIZING+SEQUENCE
6 NON LINEAR EQUATIONS 1130749 10% 36% 163 Search NON+LINEAR+EQUATIONS Search NON+LINEAR+EQUATIONS
7 NONLINEAR EQUATIONS IN BANACH SPACES 1088277 4% 97% 58 Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES
8 EFFICIENCY INDEX 1018199 5% 66% 80 Search EFFICIENCY+INDEX Search EFFICIENCY+INDEX
9 ITERATIVE METHODS 891014 23% 13% 361 Search ITERATIVE+METHODS Search ITERATIVE+METHODS
10 ROOT FINDING 805574 5% 51% 82 Search ROOT+FINDING Search ROOT+FINDING

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 PETKOVIC, MS , NETA, B , PETKOVIC, LD , DZUNIC, J , (2014) MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS: A SURVEY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 226. ISSUE . P. 635 -660 47 96% 10
2 SHARMA, JR , ARORA, H , (2016) A NEW FAMILY OF OPTIMAL EIGHTH ORDER METHODS WITH DYNAMICS FOR NONLINEAR EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 273. ISSUE . P. 924 -933 31 100% 1
3 YUN, BI , (2012) ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS WITH FINITELY MANY ROOTS IN AN INTERVAL.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 236. ISSUE 13. P. 3308 -3318 36 97% 5
4 PETKOVIC, I , HERCEG, D , (2017) SYMBOLIC COMPUTATION AND COMPUTER GRAPHICS AS TOOLS FOR DEVELOPING AND STUDYING NEW ROOT-FINDING METHODS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 295. ISSUE . P. 95 -113 32 97% 0
5 CHUN, C , NETA, B , (2015) COMPARING THE BASINS OF ATTRACTION FOR KANWAR-BHATIA-KANSAL FAMILY TO THE BEST FOURTH ORDER METHOD.APPLIED MATHEMATICS AND COMPUTATION. VOL. 266. ISSUE . P. 277 -292 30 100% 1
6 KHATTRI, SK , LOG, T , (2011) CONSTRUCTING THIRD-ORDER DERIVATIVE-FREE ITERATIVE METHODS.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 88. ISSUE 7. P. 1509 -1518 32 100% 5
7 GEUM, YH , KIM, YI , NETA, B , (2015) A CLASS OF TWO-POINT SIXTH-ORDER MULTIPLE-ZERO FINDERS OF MODIFIED DOUBLE-NEWTON TYPE AND THEIR DYNAMICS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 270. ISSUE . P. 387 -400 29 100% 0
8 KHATTRI, SK , LOG, T , (2011) DERIVATIVE FREE ALGORITHM FOR SOLVING NONLINEAR EQUATIONS.COMPUTING. VOL. 92. ISSUE 2. P. 169 -179 32 97% 6
9 ARGYROS, IK , MAGRENAN, AA , (2016) A STUDY ON THE LOCAL CONVERGENCE AND THE DYNAMICS OF CHEBYSHEV-HALLEY-TYPE METHODS FREE FROM SECOND DERIVATIVE.NUMERICAL ALGORITHMS. VOL. 71. ISSUE 1. P. 1 -23 20 100% 5
10 CHUN, C , NETA, B , (2016) COMPARISON OF SEVERAL FAMILIES OF OPTIMAL EIGHTH ORDER METHODS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 274. ISSUE . P. 762 -773 27 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 16500 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
2 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
3 20772 MANDELBROT SET//GENERALIZED M J SETS//GRADIENT CONTROL
4 3823 UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD
5 37155 LOCATION OF THE ZEROS//ANNULAR BOUND//LOCATION OF ZEROS OF POLYNOMIALS
6 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
7 25061 BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM
8 8657 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
9 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
10 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS

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