Class information for:
Level 1: INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//JACOBI MATRIX

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
18912 1                   INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//JACOBI MATRIX 554

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVERSE EIGENVALUE PROBLEM authKW 1878429 14% 42% 79
2 NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 977935 3% 90% 19
3 JACOBI MATRIX authKW 538103 6% 26% 36
4 NONNEGATIVE MATRICES authKW 427480 6% 21% 35
5 GENERALIZED INVERSE EIGENVALUE PROBLEM authKW 292567 1% 86% 6
6 TWO SPECTRA INVERSE PROBLEM authKW 284442 1% 100% 5
7 SYMMETRIC NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 255995 1% 75% 6
8 INFINITE MASS SPRING SYSTEM authKW 227554 1% 100% 4
9 PERIODIC JACOBI MATRIX authKW 227554 1% 100% 4
10 REAL NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 227554 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 12348 59% 0% 326
2 Mathematics 5295 43% 0% 236
3 Engineering, Civil 429 8% 0% 46
4 Physics, Mathematical 382 8% 0% 44
5 Mechanics 236 8% 0% 45
6 Computer Science, Interdisciplinary Applications 202 6% 0% 32
7 Engineering, Geological 133 2% 0% 11
8 Mathematics, Interdisciplinary Applications 133 4% 0% 22
9 Acoustics 117 3% 0% 17
10 Engineering, General 113 4% 0% 22

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI 5 79004 1% 28% 5
2 METODOS MATEMAT NUMER 74846 1% 26% 5
3 DPTO MAT L 56888 0% 100% 1
4 IAC SEZ BARI 56888 0% 100% 1
5 IST PICAZ CALCOLO M PICONE 56888 0% 100% 1
6 MATEMAT INVEST MATEMAT LICADAS SISTEMAS 56888 0% 100% 1
7 RITC 56888 0% 100% 1
8 SHANGHAI PURE MATH MATH 56888 0% 100% 1
9 CELC 41821 1% 15% 5
10 STRATEG SECUR PROJECT 28443 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR ALGEBRA AND ITS APPLICATIONS 66425 21% 1% 117
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 28057 3% 3% 19
3 INVERSE PROBLEMS 17550 6% 1% 33
4 LINEAR & MULTILINEAR ALGEBRA 12926 3% 1% 18
5 JOURNAL OF COMPUTATIONAL MATHEMATICS 6866 2% 1% 13
6 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 6707 3% 1% 16
7 COMPUTERS & STRUCTURES 4808 5% 0% 28
8 STRUCTURAL DESIGN OF TALL BUILDINGS 3625 1% 2% 3
9 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 3187 1% 1% 7
10 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 2377 1% 1% 7

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INVERSE EIGENVALUE PROBLEM 1878429 14% 42% 79 Search INVERSE+EIGENVALUE+PROBLEM Search INVERSE+EIGENVALUE+PROBLEM
2 NONNEGATIVE INVERSE EIGENVALUE PROBLEM 977935 3% 90% 19 Search NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM
3 JACOBI MATRIX 538103 6% 26% 36 Search JACOBI+MATRIX Search JACOBI+MATRIX
4 NONNEGATIVE MATRICES 427480 6% 21% 35 Search NONNEGATIVE+MATRICES Search NONNEGATIVE+MATRICES
5 GENERALIZED INVERSE EIGENVALUE PROBLEM 292567 1% 86% 6 Search GENERALIZED+INVERSE+EIGENVALUE+PROBLEM Search GENERALIZED+INVERSE+EIGENVALUE+PROBLEM
6 TWO SPECTRA INVERSE PROBLEM 284442 1% 100% 5 Search TWO+SPECTRA+INVERSE+PROBLEM Search TWO+SPECTRA+INVERSE+PROBLEM
7 SYMMETRIC NONNEGATIVE INVERSE EIGENVALUE PROBLEM 255995 1% 75% 6 Search SYMMETRIC+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search SYMMETRIC+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM
8 INFINITE MASS SPRING SYSTEM 227554 1% 100% 4 Search INFINITE+MASS+SPRING+SYSTEM Search INFINITE+MASS+SPRING+SYSTEM
9 PERIODIC JACOBI MATRIX 227554 1% 100% 4 Search PERIODIC+JACOBI+MATRIX Search PERIODIC+JACOBI+MATRIX
10 REAL NONNEGATIVE INVERSE EIGENVALUE PROBLEM 227554 1% 100% 4 Search REAL+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search REAL+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM

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 33645 CUICBAS//INHOMOGENEOUS STRING//EXTREMAL EIGENVALUE
2 8914 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
3 19236 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
4 17004 ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS
5 19835 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
6 14408 EIGENVECTOR DERIVATIVES//APPROXIMATE REANALYSIS//STRUCTURAL REANALYSIS
7 22944 STRONG LINEAR PRESERVER//G MAJORIZATION//GENERALIZED MATRIX FUNCTION
8 8605 FUNCTIONALLY GRADED BEAM//ROTATING BEAM//FGM BEAM
9 15538 EIGENSTRUCTURE ASSIGNMENT//POLE ASSIGNMENT//POLE PLACEMENT
10 38074 MONOTONE INCOMPLETE DATA//MONOTONE MISSING DATA//MONOTONE INCOMPLETE SAMPLE

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