Class information for:
Level 1: COMPONENTS OF SOLUTIONS//NUMERICAL ALGEBRAIC GEOMETRY//POLYHEDRAL HOMOTOPY

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
11542 908 20.3 36%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
1921 5285 SEMILOCAL CONVERGENCE//ORDER OF CONVERGENCE//MAJORIZING SEQUENCE

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 COMPONENTS OF SOLUTIONS Author keyword 18 89% 1% 8
2 NUMERICAL ALGEBRAIC GEOMETRY Author keyword 15 49% 3% 23
3 POLYHEDRAL HOMOTOPY Author keyword 15 82% 1% 9
4 BIALTERNATE PRODUCT Author keyword 12 86% 1% 6
5 POLYNOMIAL SYSTEM Author keyword 10 28% 3% 31
6 IMPLICITLY DEFINED CURVE Author keyword 8 100% 1% 5
7 GENERIC POINTS Author keyword 7 56% 1% 9
8 HOMOTOPY CONTINUATION Author keyword 7 28% 2% 22
9 BORDERED MATRICES Author keyword 6 80% 0% 4
10 MULTIPLICITY STRUCTURE Author keyword 6 71% 1% 5

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 COMPONENTS OF SOLUTIONS 18 89% 1% 8 Search COMPONENTS+OF+SOLUTIONS Search COMPONENTS+OF+SOLUTIONS
2 NUMERICAL ALGEBRAIC GEOMETRY 15 49% 3% 23 Search NUMERICAL+ALGEBRAIC+GEOMETRY Search NUMERICAL+ALGEBRAIC+GEOMETRY
3 POLYHEDRAL HOMOTOPY 15 82% 1% 9 Search POLYHEDRAL+HOMOTOPY Search POLYHEDRAL+HOMOTOPY
4 BIALTERNATE PRODUCT 12 86% 1% 6 Search BIALTERNATE+PRODUCT Search BIALTERNATE+PRODUCT
5 POLYNOMIAL SYSTEM 10 28% 3% 31 Search POLYNOMIAL+SYSTEM Search POLYNOMIAL+SYSTEM
6 IMPLICITLY DEFINED CURVE 8 100% 1% 5 Search IMPLICITLY+DEFINED+CURVE Search IMPLICITLY+DEFINED+CURVE
7 GENERIC POINTS 7 56% 1% 9 Search GENERIC+POINTS Search GENERIC+POINTS
8 HOMOTOPY CONTINUATION 7 28% 2% 22 Search HOMOTOPY+CONTINUATION Search HOMOTOPY+CONTINUATION
9 BORDERED MATRICES 6 80% 0% 4 Search BORDERED+MATRICES Search BORDERED+MATRICES
10 MULTIPLICITY STRUCTURE 6 71% 1% 5 Search MULTIPLICITY+STRUCTURE Search MULTIPLICITY+STRUCTURE

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 DEFLATION ALGORITHM 23 86% 1% 12
2 COMPUTING SINGULAR SOLUTIONS 13 71% 1% 10
3 POLYNOMIAL SYSTEMS 12 21% 6% 54
4 BLOCK ELIMINATION 11 60% 1% 12
5 NEWTON POLYTOPES 11 67% 1% 10
6 IMPLICITLY DEFINED CURVES 8 100% 1% 5
7 BIFURCATION POINTS 8 32% 2% 20
8 NONLINEAR ANALYTIC SYSTEMS 8 62% 1% 8
9 DEFICIENT POLYNOMIAL SYSTEMS 6 80% 0% 4
10 DOUBLE EIGENVALUE 6 100% 0% 4

Journals

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 68%
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms 1997 75 58 43%
Solving polynomial systems by polyhedral homotopies 1999 28 15 93%
Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds 2008 0 14 64%
Symmetry reductions and a posteriori finite element error estimators for bifurcation problems 2005 2 16 50%
Spectral approximation of the Navier-Stokes equations coupled with the heat equation 2009 0 3 33%
ON THE NUMERICAL DETECTION OF CODIMENSION-3 BIFURCATIONS OF PERIODIC-SOLUTIONS (WITH APPLICATION TO OPTICAL BISTABILITY) 1994 1 4 25%

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 TEACHING DISTANCE LEARNING 3 100% 0.3% 3
2 BUR 131 1 50% 0.2% 2
3 ESAT STADIUS DYNAM SYST SIGNAL PROC DATA AN 1 40% 0.2% 2
4 COMPUTAT MECH OPTIMIZAT 1 33% 0.2% 2
5 AUTOMATED REASONING COGNIT 1 50% 0.1% 1
6 COMP REASONING TRUSTWORTHY COMPUTAT 1 50% 0.1% 1
7 MATH FB 12 1 50% 0.1% 1
8 VIRTUAL REAL PL 1 50% 0.1% 1
9 IBBT FUTURE HLTH 0 15% 0.3% 3
10 SCI COMP PROGRAM 0 33% 0.1% 1

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000093823 JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//CONDITION METRIC
2 0.0000085684 SIMPLICIAL ALGORITHM//SIMPLICIAL ALGORITHMS//PPAD COMPLETENESS
3 0.0000085136 CHARACTERISTIC BISECTION METHOD//KRONECKER PICARD THEORY//MEASURE THEORY
4 0.0000084084 PARAMETRIC REPRESENTATION METHOD//SINGULARITY SET//CYCLIC COORDINATES
5 0.0000077502 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
6 0.0000073622 ABNORMAL POINT//P REGULARITY//P FACTOR OPERATOR
7 0.0000072205 FINITE ROTATIONS//ASYMPTOTIC NUMERICAL METHOD//FINITE ROTATION
8 0.0000068048 CESTAC METHOD//DISCRETE STOCHASTIC ARITHMETIC//STOCHASTIC ARITHMETIC
9 0.0000065860 CONFIGURATION PROCESSING//EXCELLENCE FUNDAMENTAL STUDIES STRUCT ENGN//STRONG CARTESIAN PRODUCT
10 0.0000062626 SPECTRAL SUBSPACE//MAXIMAL INVARIANT SUBSPACES//WEAKLY SINGULAR INTEGRAL OPERATOR