Class information for:
Level 1: NUMERICAL RANGE//NUMERICAL RADIUS//HIGHER RANK NUMERICAL RANGE

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
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
1812 2             LINEAR ALGEBRA AND ITS APPLICATIONS//DRAZIN INVERSE//GROUP INVERSE 6568
17060 1                   NUMERICAL RANGE//NUMERICAL RADIUS//HIGHER RANK NUMERICAL RANGE 646

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMERICAL RANGE authKW 5429843 33% 53% 211
2 NUMERICAL RADIUS authKW 1696010 11% 49% 71
3 HIGHER RANK NUMERICAL RANGE authKW 1274946 4% 93% 28
4 POLYNOMIAL NUMERICAL HULL authKW 935422 3% 91% 21
5 JOINT NUMERICAL RANGE authKW 477247 2% 65% 15
6 DAVIS WIELANDT SHELL authKW 421649 2% 79% 11
7 Q NUMERICAL RANGE authKW 395168 1% 90% 9
8 WEIGHTED SHIFT MATRIX authKW 390291 1% 100% 8
9 FIELD OF VALUES authKW 354784 3% 36% 20
10 FLAT PORTION authKW 341504 1% 100% 7

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 27081 87% 0% 564
2 Mathematics, Applied 12295 54% 0% 352
3 Physics, Mathematical 26 2% 0% 16
4 Statistics & Probability 1 1% 0% 6
5 Psychology, Mathematical 1 0% 0% 1
6 Engineering, General 0 1% 0% 4
7 Social Sciences, Mathematical Methods 0 0% 0% 1
8 Operations Research & Management Science -2 0% 0% 1
9 Physics, Multidisciplinary -2 1% 0% 8
10 Mathematics, Interdisciplinary Applications -2 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADM ECON COMMUN 48786 0% 100% 1
2 TOURIST UNIT 48786 0% 100% 1
3 FIZYKI SMOLUCHOWSKIEGO 42049 1% 17% 5
4 BASIC SCI MATH 35864 1% 15% 5
5 CNRS CAMILLE JORDANUMR 5208 24392 0% 50% 1
6 CULTURAL UNIT 24392 0% 50% 1
7 EXCELLENCE LINEAR ALGEBRA OPTIMIZAT 24392 0% 50% 1
8 SEKRETARIAT MA 4 1 24392 0% 50% 1
9 POLYTECH TOMAR 19511 0% 20% 2
10 CMUC 19290 2% 3% 14

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR & MULTILINEAR ALGEBRA 163210 11% 5% 69
2 LINEAR ALGEBRA AND ITS APPLICATIONS 161673 30% 2% 197
3 OPERATORS AND MATRICES 77688 4% 6% 28
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 41664 4% 3% 25
5 ANNALS OF FUNCTIONAL ANALYSIS 10056 1% 3% 8
6 TWO-YEAR COLLEGE MATHEMATICS JOURNAL 9756 0% 20% 1
7 INTEGRAL EQUATIONS AND OPERATOR THEORY 4789 2% 1% 15
8 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 3790 2% 1% 13
9 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 3080 1% 1% 6
10 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 3032 1% 1% 5

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NUMERICAL RANGE 5429843 33% 53% 211 Search NUMERICAL+RANGE Search NUMERICAL+RANGE
2 NUMERICAL RADIUS 1696010 11% 49% 71 Search NUMERICAL+RADIUS Search NUMERICAL+RADIUS
3 HIGHER RANK NUMERICAL RANGE 1274946 4% 93% 28 Search HIGHER+RANK+NUMERICAL+RANGE Search HIGHER+RANK+NUMERICAL+RANGE
4 POLYNOMIAL NUMERICAL HULL 935422 3% 91% 21 Search POLYNOMIAL+NUMERICAL+HULL Search POLYNOMIAL+NUMERICAL+HULL
5 JOINT NUMERICAL RANGE 477247 2% 65% 15 Search JOINT+NUMERICAL+RANGE Search JOINT+NUMERICAL+RANGE
6 DAVIS WIELANDT SHELL 421649 2% 79% 11 Search DAVIS+WIELANDT+SHELL Search DAVIS+WIELANDT+SHELL
7 Q NUMERICAL RANGE 395168 1% 90% 9 Search Q+NUMERICAL+RANGE Search Q+NUMERICAL+RANGE
8 WEIGHTED SHIFT MATRIX 390291 1% 100% 8 Search WEIGHTED+SHIFT+MATRIX Search WEIGHTED+SHIFT+MATRIX
9 FIELD OF VALUES 354784 3% 36% 20 Search FIELD+OF+VALUES Search FIELD+OF+VALUES
10 FLAT PORTION 341504 1% 100% 7 Search FLAT+PORTION Search FLAT+PORTION

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 38247 BRUALDI LI CONJECTURE//ALMOST REGULAR TOURNAMENT//BRUALDI LI MATRIX
2 18656 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
3 12658 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM
4 27402 LOGARITHMIC RESIDUE//BELITSKIIS ALGORITHM//SUM OF IDEMPOTENTS
5 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY
6 20904 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
7 6843 UNITARILY INVARIANT NORM//OPERATOR INEQUALITY//OPERATOR MONOTONE FUNCTION
8 22944 STRONG LINEAR PRESERVER//G MAJORIZATION//GENERALIZED MATRIX FUNCTION
9 9262 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
10 23297 OUTER BILLIARDS//PONCELET THEOREM//DUAL BILLIARDS

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