Class information for:
Level 1: INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19087 523 15.7 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
19087 1                   INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES 523

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 INVERSE EIGENVALUE PROBLEM authKW 1644122 14% 40% 71
2 NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 945816 3% 90% 18
3 NONNEGATIVE MATRICES authKW 399822 6% 21% 33
4 JACOBI MATRIX authKW 276398 5% 19% 25
5 GENERALIZED INVERSE EIGENVALUE PROBLEM authKW 243265 1% 83% 5
6 PERIODIC JACOBI MATRIX authKW 233536 1% 100% 4
7 REAL NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 233536 1% 100% 4
8 TWO SPECTRA INVERSE PROBLEM authKW 233536 1% 100% 4
9 SYMMETRIC NONNEGATIVE INVERSE EIGENVALUE PROBLEM authKW 208511 1% 71% 5
10 INVERSE EIGENVALUE PROBLEMS authKW 196219 2% 31% 11

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, Applied 11924 59% 0% 311
2 Mathematics 4531 41% 0% 212
3 Engineering, Civil 491 9% 0% 47
4 Physics, Mathematical 389 8% 0% 43
5 Mechanics 298 9% 0% 48
6 Computer Science, Interdisciplinary Applications 176 6% 0% 29
7 Engineering, Geological 146 2% 0% 11
8 Engineering, Mechanical 119 6% 0% 30
9 Acoustics 110 3% 0% 16
10 Engineering, General 77 3% 0% 18

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 SCI 5 81082 1% 28% 5
2 METODOS MATEMAT NUMER 76814 1% 26% 5
3 DPTO MAT L 58384 0% 100% 1
4 IAC SEZ BARI 58384 0% 100% 1
5 IST PICAZ CALCOLO M PICONE 58384 0% 100% 1
6 MATEMAT INVEST MATEMAT LICADAS SISTEMAS 58384 0% 100% 1
7 RITC 58384 0% 100% 1
8 CELC 42921 1% 15% 5
9 CONSERVAT LANDSC E 29191 0% 50% 1
10 STRATEG SECUR PROJECT 29191 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 75759 23% 1% 122
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 19204 3% 2% 15
3 INVERSE PROBLEMS 17474 6% 1% 32
4 LINEAR & MULTILINEAR ALGEBRA 11326 3% 1% 16
5 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 9857 4% 1% 19
6 JOURNAL OF COMPUTATIONAL MATHEMATICS 7365 2% 1% 13
7 COMPUTERS & STRUCTURES 5004 5% 0% 28
8 STRUCTURAL DESIGN OF TALL BUILDINGS 3721 1% 2% 3
9 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 2474 1% 1% 7
10 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 1766 1% 1% 5

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 INVERSE EIGENVALUE PROBLEM 1644122 14% 40% 71 Search INVERSE+EIGENVALUE+PROBLEM Search INVERSE+EIGENVALUE+PROBLEM
2 NONNEGATIVE INVERSE EIGENVALUE PROBLEM 945816 3% 90% 18 Search NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM
3 NONNEGATIVE MATRICES 399822 6% 21% 33 Search NONNEGATIVE+MATRICES Search NONNEGATIVE+MATRICES
4 JACOBI MATRIX 276398 5% 19% 25 Search JACOBI+MATRIX Search JACOBI+MATRIX
5 GENERALIZED INVERSE EIGENVALUE PROBLEM 243265 1% 83% 5 Search GENERALIZED+INVERSE+EIGENVALUE+PROBLEM Search GENERALIZED+INVERSE+EIGENVALUE+PROBLEM
6 PERIODIC JACOBI MATRIX 233536 1% 100% 4 Search PERIODIC+JACOBI+MATRIX Search PERIODIC+JACOBI+MATRIX
7 REAL NONNEGATIVE INVERSE EIGENVALUE PROBLEM 233536 1% 100% 4 Search REAL+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search REAL+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM
8 TWO SPECTRA INVERSE PROBLEM 233536 1% 100% 4 Search TWO+SPECTRA+INVERSE+PROBLEM Search TWO+SPECTRA+INVERSE+PROBLEM
9 SYMMETRIC NONNEGATIVE INVERSE EIGENVALUE PROBLEM 208511 1% 71% 5 Search SYMMETRIC+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM Search SYMMETRIC+NONNEGATIVE+INVERSE+EIGENVALUE+PROBLEM
10 INVERSE EIGENVALUE PROBLEMS 196219 2% 31% 11 Search INVERSE+EIGENVALUE+PROBLEMS Search INVERSE+EIGENVALUE+PROBLEMS

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 LEI, YJ , XU, WR , LU, Y , NIU, YR , GU, XM , (2014) ON THE SYMMETRIC DOUBLY STOCHASTIC INVERSE EIGENVALUE PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 445. ISSUE . P. 181-205 17 94% 3
2 CHU, MT , (1998) INVERSE EIGENVALUE PROBLEMS.SIAM REVIEW. VOL. 40. ISSUE 1. P. 1 -39 46 44% 143
3 WEI, Y , DAI, H , (2016) AN INVERSE EIGENVALUE PROBLEM FOR THE FINITE ELEMENT MODEL OF A VIBRATING ROD.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 300. ISSUE . P. 172 -182 17 85% 0
4 LIN, MM , (2015) AN ALGORITHM FOR CONSTRUCTING NONNEGATIVE MATRICES WITH PRESCRIBED REAL EIGENVALUES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 256. ISSUE . P. 582 -590 14 88% 1
5 DUMOND, P , BADDOUR, N , (2014) A STRUCTURED APPROACH TO DESIGN-FOR-FREQUENCY PROBLEMS USING THE CAYLEY-HAMILTON THEOREM.SPRINGERPLUS. VOL. 3. ISSUE . P. - 15 79% 1
6 JULIO, AI , MANZANEDA, CB , SOTO, RL , (2015) NORMAL NONNEGATIVE REALIZATION OF SPECTRA.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 6. P. 1204 -1215 12 92% 0
7 SOTO, RL , VALERO, E , SALAS, M , NINA, H , (2015) NONNEGATIVE GENERALIZED DOUBLY STOCHASTIC MATRICES WITH PRESCRIBED ELEMENTARY DIVISORS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 30. ISSUE . P. 704 -720 11 100% 0
8 SOTO, RL , ROJO, O , MANZANEDA, CB , (2011) ON NONNEGATIVE REALIZATION OF PARTITIONED SPECTRA.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 22. ISSUE . P. 557-572 12 100% 0
9 ELLARD, R , SMIGOC, H , (2016) CONNECTING SUFFICIENT CONDITIONS FOR THE SYMMETRIC NONNEGATIVE INVERSE EIGENVALUE PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 498. ISSUE . P. 521 -552 13 81% 0
10 DAI, H , BAI, ZZ , WEI, Y , (2015) ON THE SOLVABILITY CONDITION AND NUMERICAL ALGORITHM FOR THE PARAMETERIZED GENERALIZED INVERSE EIGENVALUE PROBLEM.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 36. ISSUE 2. P. 707 -726 15 71% 0

Classes with closest relation at Level 1


Rank Class id link
1 11027 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
2 22726 PARTIALLY PRESCRIBED SPECTRAL INFORMATION//PARTIALLY PRESCRIBED SPECTRAL DATA//INVERSE QUADRATIC EIGENVALUE PROBLEM
3 23245 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
4 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
5 14638 EIGENVECTOR DERIVATIVES//APPROXIMATE REANALYSIS//STATIC REANALYSIS
6 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
7 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
8 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
9 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
10 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER

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