Class information for:
Level 1: MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM

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
1067 2             SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//LINEAR ALGEBRA AND ITS APPLICATIONS//MATRIX EQUATION 10240
12658 1                   MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM 920

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATRIX POLYNOMIAL authKW 969263 8% 36% 78
2 POLYNOMIAL EIGENVALUE PROBLEM authKW 567537 3% 61% 27
3 PSEUDOSPECTRUM authKW 509699 4% 40% 37
4 PSEUDOSPECTRA authKW 428749 4% 38% 33
5 COMPANION FORM authKW 385371 2% 75% 15
6 FIEDLER PENCILS authKW 342559 1% 100% 10
7 BACKWARD ERROR authKW 331468 3% 32% 30
8 QUADRATIC EIGENVALUE PROBLEM authKW 279717 3% 29% 28
9 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS journal 271788 14% 6% 131
10 SYMPLECTIC MATRICES authKW 259615 1% 63% 12

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 26273 66% 0% 611
2 Mathematics 14099 53% 0% 492
3 Automation & Control Systems 1398 8% 0% 78
4 Operations Research & Management Science 130 3% 0% 29
5 Computer Science, Software Engineering 86 3% 0% 25
6 Computer Science, Theory & Methods 16 2% 0% 17
7 Mathematics, Interdisciplinary Applications 9 1% 0% 11
8 Acoustics 7 1% 0% 8
9 Mechanics 3 2% 0% 16
10 Mining & Mineral Processing 1 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO INGN SCI INFORMAT MATEMAT 119889 1% 50% 7
2 AFDELING WISKUNDE 115740 2% 24% 14
3 EXACTE WETEN PEN 104182 2% 18% 17
4 FARM MATEMAT LICADA EIO 68512 0% 100% 2
5 UNIT BMI 64469 1% 24% 8
6 BRISTOL ADV DYNAM ENGN 61165 1% 36% 5
7 MA 4 5 51381 0% 50% 3
8 ANAL FUNC ESTRUTURAS LINEA LICACACOES 34256 0% 100% 1
9 ANAL FUNC ESTRUTURAS LINEA LICAOES 34256 0% 100% 1
10 COE SYST SCI 34256 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 271788 14% 6% 131
2 LINEAR ALGEBRA AND ITS APPLICATIONS 206945 29% 2% 266
3 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 74903 4% 5% 40
4 OPERATORS AND MATRICES 10003 1% 2% 12
5 LINEAR & MULTILINEAR ALGEBRA 6928 2% 1% 17
6 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 6011 1% 2% 10
7 SYSTEMS & CONTROL LETTERS 5151 3% 1% 25
8 INTEGRAL EQUATIONS AND OPERATOR THEORY 4837 2% 1% 18
9 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 3956 1% 1% 11
10 AMERICAN MATHEMATICAL MONTHLY 2757 2% 1% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MATRIX POLYNOMIAL 969263 8% 36% 78 Search MATRIX+POLYNOMIAL Search MATRIX+POLYNOMIAL
2 POLYNOMIAL EIGENVALUE PROBLEM 567537 3% 61% 27 Search POLYNOMIAL+EIGENVALUE+PROBLEM Search POLYNOMIAL+EIGENVALUE+PROBLEM
3 PSEUDOSPECTRUM 509699 4% 40% 37 Search PSEUDOSPECTRUM Search PSEUDOSPECTRUM
4 PSEUDOSPECTRA 428749 4% 38% 33 Search PSEUDOSPECTRA Search PSEUDOSPECTRA
5 COMPANION FORM 385371 2% 75% 15 Search COMPANION+FORM Search COMPANION+FORM
6 FIEDLER PENCILS 342559 1% 100% 10 Search FIEDLER+PENCILS Search FIEDLER+PENCILS
7 BACKWARD ERROR 331468 3% 32% 30 Search BACKWARD+ERROR Search BACKWARD+ERROR
8 QUADRATIC EIGENVALUE PROBLEM 279717 3% 29% 28 Search QUADRATIC+EIGENVALUE+PROBLEM Search QUADRATIC+EIGENVALUE+PROBLEM
9 SYMPLECTIC MATRICES 259615 1% 63% 12 Search SYMPLECTIC+MATRICES Search SYMPLECTIC+MATRICES
10 MINIMAL INDICES 259053 1% 69% 11 Search MINIMAL+INDICES Search MINIMAL+INDICES

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 12718 JACOBI DAVIDSON//JACOBI DAVIDSON METHOD//RITZ VALUES
2 23613 CONTROLLABILITY INDICES//MATEMAT LICADA EIO//BRUNOVSKY INDICES
3 11809 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
4 6159 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//QR ALGORITHM//QR FACTORIZATION
5 27402 LOGARITHMIC RESIDUE//BELITSKIIS ALGORITHM//SUM OF IDEMPOTENTS
6 21235 MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT
7 31768 AUTONOMOUS CONSERVATIVE SYSTEM//BARNES ALGORITHM//COMPLEX ELECTRIC CIRCUITS
8 17060 NUMERICAL RANGE//NUMERICAL RADIUS//HIGHER RANK NUMERICAL RANGE
9 21539 SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS
10 25034 CONDITION NUMBERS//CONDITION METRIC//COMPLEXITY OF LINEAR PROGRAMMING

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