Class information for:
Level 1: NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17842 580 15.4 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
943 2             LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE 10922
17842 1                   NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL 580

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 NUMERICAL RANGE authKW 5187668 33% 51% 193
2 HIGHER RANK NUMERICAL RANGE authKW 1375811 5% 93% 28
3 POLYNOMIAL NUMERICAL HULL authKW 1009426 4% 91% 21
4 JOINT NUMERICAL RANGE authKW 585963 3% 70% 16
5 Q NUMERICAL RANGE authKW 426431 2% 90% 9
6 WEIGHTED SHIFT MATRIX authKW 421168 1% 100% 8
7 DAVIS WIELANDT SHELL authKW 404964 2% 77% 10
8 NUMERICAL RADIUS authKW 403692 6% 23% 33
9 FIELD OF VALUES authKW 389945 3% 37% 20
10 FLAT PORTION authKW 368522 1% 100% 7

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 22663 84% 0% 488
2 Mathematics, Applied 11193 55% 0% 318
3 Physics, Mathematical 72 4% 0% 22
4 Statistics & Probability 18 2% 0% 11
5 Computer Science, Cybernetics 12 1% 0% 3
6 Computer Science, Information Systems 0 1% 0% 4
7 Computer Science, Theory & Methods -0 1% 0% 4
8 Engineering, General -0 1% 0% 3
9 Automation & Control Systems -1 0% 0% 1
10 Instruments & Instrumentation -1 1% 0% 3

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 ADM ECON COMMUN 52646 0% 100% 1
2 CENT FIZYKI TEORET 52646 0% 100% 1
3 MACHINE LEARNING CY 52646 0% 100% 1
4 TOURIST UNIT 52646 0% 100% 1
5 FIZYKI SMOLUCHOWSKIEGO 45376 1% 17% 5
6 A REYNI MATH 26322 0% 50% 1
7 CNRS CAMILLE JORDANUMR 5208 26322 0% 50% 1
8 CULTURAL UNIT 26322 0% 50% 1
9 EXCELLENCE LINEAR ALGEBRA OPTIMIZAT 26322 0% 50% 1
10 SEKRETARIAT MA 4 1 26322 0% 50% 1

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 LINEAR ALGEBRA AND ITS APPLICATIONS 164100 33% 2% 189
2 LINEAR & MULTILINEAR ALGEBRA 153659 11% 5% 62
3 OPERATORS AND MATRICES 58835 4% 5% 23
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 40731 4% 3% 23
5 ANNALS OF FUNCTIONAL ANALYSIS 4776 1% 2% 5
6 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 4528 1% 1% 7
7 INTEGRAL EQUATIONS AND OPERATOR THEORY 3962 2% 1% 13
8 AMERICAN MATHEMATICAL MONTHLY 2787 2% 0% 12
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2255 5% 0% 27
10 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1984 2% 0% 9

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 NUMERICAL RANGE 5187668 33% 51% 193 Search NUMERICAL+RANGE Search NUMERICAL+RANGE
2 HIGHER RANK NUMERICAL RANGE 1375811 5% 93% 28 Search HIGHER+RANK+NUMERICAL+RANGE Search HIGHER+RANK+NUMERICAL+RANGE
3 POLYNOMIAL NUMERICAL HULL 1009426 4% 91% 21 Search POLYNOMIAL+NUMERICAL+HULL Search POLYNOMIAL+NUMERICAL+HULL
4 JOINT NUMERICAL RANGE 585963 3% 70% 16 Search JOINT+NUMERICAL+RANGE Search JOINT+NUMERICAL+RANGE
5 Q NUMERICAL RANGE 426431 2% 90% 9 Search Q+NUMERICAL+RANGE Search Q+NUMERICAL+RANGE
6 WEIGHTED SHIFT MATRIX 421168 1% 100% 8 Search WEIGHTED+SHIFT+MATRIX Search WEIGHTED+SHIFT+MATRIX
7 DAVIS WIELANDT SHELL 404964 2% 77% 10 Search DAVIS+WIELANDT+SHELL Search DAVIS+WIELANDT+SHELL
8 NUMERICAL RADIUS 403692 6% 23% 33 Search NUMERICAL+RADIUS Search NUMERICAL+RADIUS
9 FIELD OF VALUES 389945 3% 37% 20 Search FIELD+OF+VALUES Search FIELD+OF+VALUES
10 FLAT PORTION 368522 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SPITKOVSKY, IM , WEIS, S , (2016) PRE-IMAGES OF EXTREME POINTS OF THE NUMERICAL RANGE, AND APPLICATIONS.OPERATORS AND MATRICES. VOL. 10. ISSUE 4. P. 1043 -1058 22 100% 0
2 LEAKE, T , LINS, B , SPITKOVSKY, IM , (2014) PRE-IMAGES OF BOUNDARY POINTS OF THE NUMERICAL RANGE.OPERATORS AND MATRICES. VOL. 8. ISSUE 3. P. 699 -724 18 100% 1
3 CHEUNG, WS , (2016) ON THE BOUNDARY OF WEIGHTED NUMERICAL RANGES.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 1. P. 78 -86 16 100% 0
4 GAU, HL , WU, PY , (2013) NUMERICAL RANGES AND COMPRESSIONS OF S-N-MATRICES.OPERATORS AND MATRICES. VOL. 7. ISSUE 2. P. 465-476 16 100% 3
5 CHIEN, MT , NAKAZATO, H , (2015) SINGULAR POINTS OF THE ALGEBRAIC CURVES OF SYMMETRIC HYPERBOLIC.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 470. ISSUE . P. 40 -50 16 89% 0
6 CHIEN, MT , NAKAZATO, H , (2015) A NEW PONCELET CURVE FOR THE BOUNDARY GENERATING CURVE OF A NUMERICAL RANGE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 487. ISSUE . P. 1 -21 14 100% 0
7 GAU, HL , LI, CK , WU, PY , (2010) HIGHER-RANK NUMERICAL RANGES AND DILATIONS.JOURNAL OF OPERATOR THEORY. VOL. 63. ISSUE 1. P. 181-189 15 100% 8
8 CHIEN, MT , NAKAZATO, H , (2017) SINGULAR POINTS OF THE ALGEBRAIC CURVES ASSOCIATED TO UNITARY BORDERING MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 513. ISSUE . P. 224 -239 14 93% 0
9 AGHAMOLLAEI, G , REZAGHOLI, S , (2015) HIGHER RANK NUMERICAL HULLS OF MATRICES AND MATRIX POLYNOMIALS.OPERATORS AND MATRICES. VOL. 9. ISSUE 2. P. 417 -431 16 80% 0
10 CHIEN, MT , NAKAZATO, H , (2013) SINGULAR POINTS OF CYCLIC WEIGHTED SHIFT MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 12. P. 4090-4100 13 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
2 26152 COXETER FUNCTOR//BELITSKIIS ALGORITHM//INDECOMPOSABLE SYSTEM
3 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
4 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
5 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
6 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
7 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
8 33381 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
9 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
10 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY

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