Class information for:
Level 1: SPECTRAL SUBSPACE//COLLECTIVELY COMPACT CONVERGENCE//MAXIMAL INVARIANT SUBSPACES

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
587 3       PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS 15113
2987 2             DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS//BOUNDARY CONTROL 2817
31325 1                   SPECTRAL SUBSPACE//COLLECTIVELY COMPACT CONVERGENCE//MAXIMAL INVARIANT SUBSPACES 168

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SPECTRAL SUBSPACE authKW 390829 3% 42% 5
2 COLLECTIVELY COMPACT CONVERGENCE authKW 250133 1% 67% 2
3 MAXIMAL INVARIANT SUBSPACES authKW 250133 1% 67% 2
4 WEAKLY SINGULAR INTEGRAL OPERATOR authKW 241198 2% 43% 3
5 ACCELERATED PROJECTION METHODS authKW 187601 1% 100% 1
6 ACCELERATED SCHEME authKW 187601 1% 100% 1
7 BLOCK RESOLVENT authKW 187601 1% 100% 1
8 CLUSTER OF EIGENVALUES authKW 187601 1% 100% 1
9 EIGENVALUE OF FINITE ALGEBRAIC MULTIPLICITY authKW 187601 1% 100% 1
10 EXTERNAL APPROXIMATION SCHEME authKW 187601 1% 100% 1

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 5104 68% 0% 115
2 Mathematics 1034 35% 0% 58
3 Automation & Control Systems 148 7% 0% 11
4 Multidisciplinary Sciences 88 4% 0% 7
5 Mechanics 19 5% 0% 8
6 Statistics & Probability 9 2% 0% 4
7 Computer Science, Theory & Methods 6 2% 0% 4
8 Operations Research & Management Science 6 2% 0% 3
9 Computer Science, Information Systems 3 2% 0% 3
10 Computer Science, Software Engineering 1 1% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTITUT CAMILLE JORDAN 187601 1% 100% 1
2 UNITE CNRS 5208 CAMILLE JORDAN 187601 1% 100% 1
3 URA 740 EQUIPE ANAL NUMER LYON 187601 1% 100% 1
4 MATH INFORMAT SCI MAT 150078 1% 40% 2
5 TIM3 93799 1% 50% 1
6 MATH PL MODELISAT 93797 1% 25% 2
7 CIDMA RD MATH PLICAT 31265 1% 17% 1
8 UP EA 3058 13398 1% 7% 1
9 INTERDISCIPLINARY PL MATH 8523 1% 2% 2
10 UMR 5208 7542 3% 1% 5

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 35199 11% 1% 19
2 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 10916 4% 1% 6
3 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 10276 1% 3% 2
4 APPLIED MATHEMATICS LETTERS 4178 7% 0% 11
5 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 3925 1% 1% 2
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 3646 5% 0% 9
7 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 2454 2% 0% 4
8 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 1550 1% 0% 2
9 JOURNAL OF INTEGRAL EQUATIONS 1409 1% 1% 1
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 1381 4% 0% 6

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SPECTRAL SUBSPACE 390829 3% 42% 5 Search SPECTRAL+SUBSPACE Search SPECTRAL+SUBSPACE
2 COLLECTIVELY COMPACT CONVERGENCE 250133 1% 67% 2 Search COLLECTIVELY+COMPACT+CONVERGENCE Search COLLECTIVELY+COMPACT+CONVERGENCE
3 MAXIMAL INVARIANT SUBSPACES 250133 1% 67% 2 Search MAXIMAL+INVARIANT+SUBSPACES Search MAXIMAL+INVARIANT+SUBSPACES
4 WEAKLY SINGULAR INTEGRAL OPERATOR 241198 2% 43% 3 Search WEAKLY+SINGULAR+INTEGRAL+OPERATOR Search WEAKLY+SINGULAR+INTEGRAL+OPERATOR
5 ACCELERATED PROJECTION METHODS 187601 1% 100% 1 Search ACCELERATED+PROJECTION+METHODS Search ACCELERATED+PROJECTION+METHODS
6 ACCELERATED SCHEME 187601 1% 100% 1 Search ACCELERATED+SCHEME Search ACCELERATED+SCHEME
7 BLOCK RESOLVENT 187601 1% 100% 1 Search BLOCK+RESOLVENT Search BLOCK+RESOLVENT
8 CLUSTER OF EIGENVALUES 187601 1% 100% 1 Search CLUSTER+OF+EIGENVALUES Search CLUSTER+OF+EIGENVALUES
9 EIGENVALUE OF FINITE ALGEBRAIC MULTIPLICITY 187601 1% 100% 1 Search EIGENVALUE+OF+FINITE+ALGEBRAIC+MULTIPLICITY Search EIGENVALUE+OF+FINITE+ALGEBRAIC+MULTIPLICITY
10 EXTERNAL APPROXIMATION SCHEME 187601 1% 100% 1 Search EXTERNAL+APPROXIMATION+SCHEME Search EXTERNAL+APPROXIMATION+SCHEME

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 18923 MECHANICAL QUADRATURE METHOD//RIGID RIBBON//SPLITTING EXTRAPOLATION ALGORITHM
2 3703 OPERATIONAL MATRIX//TAU METHOD//VOLTERRA INTEGRAL EQUATION
3 30180 NONNEGATIVE RANK FACTORIZATION//PROPER SPLITTINGS//ABC MATH PROGRAM
4 25938 DISCONTINUOUS NONLINEARITIES//ELLIPTIC DIFFERENTIAL INCLUSIONS//IMPLICIT ELLIPTIC EQUATIONS
5 31785 EVANESCENT RANDOM FIELDS//BACKWARD AND FORWARD MOVING AVERAGE REPRESENTATIONS//PREDICTION THEORY
6 15841 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
7 22936 FILTER SENSITIVITY EQUATIONS//BOUNDARY VALUE PROCESSES//ARRAY ALGORITHMS
8 23904 INEQUALITIES IN THE COMPLEX DOMAIN//POLAR DERIVATIVE//MARKOV INEQUALITY
9 15817 MINIMAL DISPLACEMENT//INDEX BUNDLE//DEGREE THEORY
10 33645 CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE

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