Class information for:
Level 2: SEMILOCAL CONVERGENCE//ORDER OF CONVERGENCE//MAJORIZING SEQUENCE

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1921 5285 17.9 36%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
550 15520 COMPUTER AIDED GEOMETRIC DESIGN//COMPUTER-AIDED DESIGN//SEMILOCAL CONVERGENCE

Classes in level below (level 1)


ID, lev. below Publications Label for level below
6126 1462 SEMILOCAL CONVERGENCE//ORDER OF CONVERGENCE//MAJORIZING SEQUENCE
9031 1127 FILLED FUNCTION METHOD//FILLED FUNCTION//GLOBAL MINIMIZER
11542 908 COMPONENTS OF SOLUTIONS//NUMERICAL ALGEBRAIC GEOMETRY//POLYHEDRAL HOMOTOPY
18180 500 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
19149 453 FLOATING POINT SUMMATION//NUMERICAL VERIFICATION//ERROR FREE TRANSFORMATION
21747 349 ABSOLUTE VALUE EQUATION//ABSOLUTE VALUE EQUATIONS//LINEAR INTERVAL EQUATIONS
28033 176 CESTAC METHOD//DISCRETE STOCHASTIC ARITHMETIC//STOCHASTIC ARITHMETIC
28653 165 CHARACTERISTIC BISECTION METHOD//KRONECKER PICARD THEORY//MEASURE THEORY
29937 145 RANGE ARITHMETIC//MULTIPLE PRECISION//ITERATIVE INTEGRATION

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 SEMILOCAL CONVERGENCE Author keyword 266 90% 2% 116
2 ORDER OF CONVERGENCE Author keyword 226 68% 4% 198
3 MAJORIZING SEQUENCE Author keyword 211 98% 1% 53
4 NON LINEAR EQUATIONS Author keyword 159 34% 7% 382
5 SIMULTANEOUS METHODS Author keyword 141 89% 1% 64
6 NONLINEAR EQUATIONS IN BANACH SPACES Author keyword 124 90% 1% 54
7 R ORDER OF CONVERGENCE Author keyword 121 97% 1% 34
8 NEWTONS METHOD Author keyword 121 31% 6% 324
9 POLYNOMIAL ZEROS Author keyword 119 88% 1% 57
10 CONVERGENCE BALL Author keyword 86 96% 0% 26

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 SEMILOCAL CONVERGENCE 266 90% 2% 116 Search SEMILOCAL+CONVERGENCE Search SEMILOCAL+CONVERGENCE
2 ORDER OF CONVERGENCE 226 68% 4% 198 Search ORDER+OF+CONVERGENCE Search ORDER+OF+CONVERGENCE
3 MAJORIZING SEQUENCE 211 98% 1% 53 Search MAJORIZING+SEQUENCE Search MAJORIZING+SEQUENCE
4 NON LINEAR EQUATIONS 159 34% 7% 382 Search NON+LINEAR+EQUATIONS Search NON+LINEAR+EQUATIONS
5 SIMULTANEOUS METHODS 141 89% 1% 64 Search SIMULTANEOUS+METHODS Search SIMULTANEOUS+METHODS
6 NONLINEAR EQUATIONS IN BANACH SPACES 124 90% 1% 54 Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES Search NONLINEAR+EQUATIONS+IN+BANACH+SPACES
7 R ORDER OF CONVERGENCE 121 97% 1% 34 Search R+ORDER+OF+CONVERGENCE Search R+ORDER+OF+CONVERGENCE
8 NEWTONS METHOD 121 31% 6% 324 Search NEWTONS+METHOD Search NEWTONS+METHOD
9 POLYNOMIAL ZEROS 119 88% 1% 57 Search POLYNOMIAL+ZEROS Search POLYNOMIAL+ZEROS
10 CONVERGENCE BALL 86 96% 0% 26 Search CONVERGENCE+BALL Search CONVERGENCE+BALL

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 RATIONAL CUBIC METHODS 236 98% 1% 58
2 NEWTONS METHOD 192 62% 4% 200
3 SOLVING NONLINEAR EQUATIONS 181 92% 1% 71
4 HALLEY METHOD 167 100% 1% 44
5 3RD ORDER CONVERGENCE 137 87% 1% 67
6 SEMILOCAL CONVERGENCE 120 100% 1% 34
7 CHEBYSHEV METHOD 93 91% 1% 39
8 NEWTON LIKE METHODS 73 88% 1% 35
9 R ORDER 69 96% 0% 22
10 SUPER HALLEY METHOD 68 100% 0% 22

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 COMPUTING 32 13% 4% 232

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation 1999 185 57 72%
Multipoint methods for solving nonlinear equations: A survey 2014 5 47 96%
GLOBAL OPTIMIZATION 1989 546 78 38%
Interval analysis: theory and applications 2000 114 21 81%
Solving a polynomial equation: Some history and recent progress 1997 126 35 66%
Ostrowski type methods for solving systems of nonlinear equations 2011 11 18 100%
Solving polynomial systems by polyhedral homotopies 1999 28 15 93%
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms 1997 75 58 45%
Historical developments in convergence analysis for Newton's and Newton-like methods 2000 36 34 71%
The convergence of the perturbed Newton method and its application for ill-conditioned problems 2011 2 11 91%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MATH COMPUTAT 65 48% 1.9% 100
2 TFG TFM 26 100% 0.2% 11
3 MATEMAT LICAC CASTELLON 11 78% 0.1% 7
4 MATEMAT MULTIDISCIPLINAR 9 15% 1.1% 56
5 RELIABLE COMP 9 33% 0.4% 22
6 BUR 131 6 100% 0.1% 4
7 PL MATH 2 3 6 100% 0.1% 4
8 PL MATH 2 5 15% 0.5% 29
9 ZAHEDAN BRANCH 4 15% 0.5% 27
10 PHD PROGRAM COMP SCI 3 35% 0.2% 8

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000021212 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS
2 0.0000018901 MATEMAT LICADA TECNOL INFORMAC//INTEGRAL ALGEBRAIC EQUATIONS//DIFFERENTIAL ALGEBRAIC EQUATION
3 0.0000012076 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//DRAZIN INVERSE
4 0.0000010829 MANDELBROT SET//GENERALIZED M J SETS//SUPRAMEDULLARY NEURONS
5 0.0000010154 JORDANS FORM//TRIDIAGONAL MATRICES//ANTI TRIDIAGONAL MATRICES
6 0.0000007658 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
7 0.0000007501 NONEXPANSIVE MAPPINGS//GLOBAL CONVERGENCE//SIAM JOURNAL ON OPTIMIZATION
8 0.0000005874 ABNORMAL POINT//P REGULARITY//CONICAL APPROXIMATIONS
9 0.0000005869 IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS//FLOORPLANNING//PHYSICAL DESIGN
10 0.0000005379 ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION