Class information for:
Level 2: ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2135 5069 18.3 37%


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
15613 1                   INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS 702
16500 1                   SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS 650
17049 1                   IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT 620
17322 1                   NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION 606
21592 1                   ERROR FREE TRANSFORMATION//FLOATING POINT ARITHMETIC//FLOATING POINT SUMMATION 413
25007 1                   NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD 294
28229 1                   ABC MATH PROGRAM//SPECTRAL SUBSPACE//ISOSPECTRAL GRAPH REDUCTION 211

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 1064807 5% 76% 233
2 SEMILOCAL CONVERGENCE authKW 948843 3% 94% 167
3 NONLINEAR EQUATIONS authKW 845378 7% 39% 362
4 NEWTONS METHOD authKW 652094 7% 33% 330
5 ROOT FINDING authKW 425522 2% 66% 107
6 MAJORIZING SEQUENCE authKW 421864 1% 97% 72
7 SIMULTANEOUS METHODS authKW 404753 1% 95% 71
8 POLYNOMIAL ZEROS authKW 381441 1% 93% 68
9 NON LINEAR EQUATIONS authKW 363699 3% 36% 166
10 NONLINEAR EQUATIONS IN BANACH SPACES authKW 337631 1% 97% 58

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 165649 71% 1% 3594
2 Computer Science, Theory & Methods 8232 12% 0% 589
3 Mathematics 7301 18% 0% 890
4 Computer Science, Software Engineering 3230 6% 0% 318
5 Operations Research & Management Science 861 3% 0% 173
6 Mathematics, Interdisciplinary Applications 564 3% 0% 145
7 Mechanics 481 4% 0% 224
8 Computer Science, Interdisciplinary Applications 231 2% 0% 126
9 Computer Science, Hardware & Architecture 208 1% 0% 73
10 Physics, Mathematical 121 2% 0% 106

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 321086 2% 48% 111
2 TFG TFM 72264 0% 100% 12
3 MATEMAT MULTIDISCIPLINAR 68136 1% 17% 68
4 RELIABLE COMP 52242 0% 35% 25
5 MATEMAT LICAC CASTELLON 38538 0% 80% 8
6 UNIV MATEMAT MULTIDISCIPLINAR 29672 1% 19% 26
7 PL MATH 2 27245 1% 15% 31
8 BUR 131 24088 0% 100% 4
9 PL MATH 2 3 24088 0% 100% 4
10 ZAHEDAN BRANCH 20661 1% 13% 27

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 COMPUTING 141228 4% 11% 208
2 APPLIED MATHEMATICS AND COMPUTATION 122002 12% 3% 596
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 81133 7% 4% 370
4 NUMERICAL ALGORITHMS 72755 3% 8% 147
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 37922 3% 4% 161
6 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 25844 3% 3% 131
7 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 24840 3% 3% 142
8 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 23130 2% 5% 85
9 NUMERISCHE MATHEMATIK 22532 2% 4% 106
10 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 21849 1% 6% 65

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 1064807 5% 76% 233 Search ORDER+OF+CONVERGENCE Search ORDER+OF+CONVERGENCE
2 SEMILOCAL CONVERGENCE 948843 3% 94% 167 Search SEMILOCAL+CONVERGENCE Search SEMILOCAL+CONVERGENCE
3 NONLINEAR EQUATIONS 845378 7% 39% 362 Search NONLINEAR+EQUATIONS Search NONLINEAR+EQUATIONS
4 NEWTONS METHOD 652094 7% 33% 330 Search NEWTONS+METHOD Search NEWTONS+METHOD
5 ROOT FINDING 425522 2% 66% 107 Search ROOT+FINDING Search ROOT+FINDING
6 MAJORIZING SEQUENCE 421864 1% 97% 72 Search MAJORIZING+SEQUENCE Search MAJORIZING+SEQUENCE
7 SIMULTANEOUS METHODS 404753 1% 95% 71 Search SIMULTANEOUS+METHODS Search SIMULTANEOUS+METHODS
8 POLYNOMIAL ZEROS 381441 1% 93% 68 Search POLYNOMIAL+ZEROS Search POLYNOMIAL+ZEROS
9 NON LINEAR EQUATIONS 363699 3% 36% 166 Search NON+LINEAR+EQUATIONS Search NON+LINEAR+EQUATIONS
10 NONLINEAR EQUATIONS IN BANACH SPACES 337631 1% 97% 58 Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES

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 CHEN, TR , LEE, TL , LI, TY , (2017) MIXED CELL COMPUTATION IN HOM4PS-3.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 79. ISSUE . P. 516 -534 27 77% 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 37 100% 5
4 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
5 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
6 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
7 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
8 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
9 KHATTRI, SK , LOG, T , (2011) DERIVATIVE FREE ALGORITHM FOR SOLVING NONLINEAR EQUATIONS.COMPUTING. VOL. 92. ISSUE 2. P. 169 -179 32 97% 6
10 CORDERO, A , TORREGROSA, JR , VINDEL, P , (2013) DYNAMICS OF A FAMILY OF CHEBYSHEV-HALLEY TYPE METHODS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 16. P. 8568-8583 30 91% 17

Classes with closest relation at Level 2


Rank Class id link
1 3448 DERIVATIVE FREE OPTIMIZATION//GLOBAL OPTIMIZATION//FILLED FUNCTION METHOD
2 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
3 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
4 2775 JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS
5 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
6 939 DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
7 3563 BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM
8 114 MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE
9 1419 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
10 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS

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