Class information for:
Level 1: NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23771 335 14.5 27%


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
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
23771 1                   NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP 335

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 NONMAXIMAL EIGENVALUES authKW 546898 2% 100% 6
2 NONNEGATIVE RANK FACTORIZATION authKW 291678 1% 80% 4
3 CONE PRESERVING MAP authKW 284839 1% 63% 5
4 PERRON SCHAEFER CONDITION authKW 273449 1% 100% 3
5 SEMI DISTINGUISHED INVARIANT FACE authKW 273449 1% 100% 3
6 HEIGHT CHARACTERISTIC authKW 205085 1% 75% 3
7 PROPER SPLITTINGS authKW 205085 1% 75% 3
8 LINEAR ALGEBRA AND ITS APPLICATIONS journal 183881 45% 1% 152
9 BEN ISRAEL CHARNES SPACES authKW 182299 1% 100% 2
10 DISTINGUISHED EIGENVALUE authKW 182299 1% 100% 2

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 12726 83% 0% 278
2 Mathematics, Applied 7234 58% 0% 194
3 Operations Research & Management Science 41 3% 0% 10
4 Computer Science, Cybernetics 25 1% 0% 3
5 Computer Science, Software Engineering 3 1% 0% 4
6 Geography 2 1% 0% 2
7 Automation & Control Systems 2 1% 0% 3
8 Computer Science, Information Systems 2 1% 0% 4
9 Mathematics, Interdisciplinary Applications 1 1% 0% 3
10 Environmental Studies 1 1% 0% 2

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 CAESAREA EDMON BENJAMIN ROTH ILD FDN 91150 0% 100% 1
2 CIENCIA COMPUTACAO IM 91150 0% 100% 1
3 DESIGN AUTOMAT D DEN 91150 0% 100% 1
4 INDISCIPLINARY PL COMP SCI 91150 0% 100% 1
5 MATEMAT STAT ACTUARIAL SCI 91150 0% 100% 1
6 MATEMET MULTIDISCIPLINAR 91150 0% 100% 1
7 METHODS QUANTITAT GEST 91150 0% 100% 1
8 PL MATH SOCIAL SCI 91150 0% 100% 1
9 SHINKAMATA 91150 0% 100% 1
10 CAESAREA ROTH ILD INTERDISCIPLINARY PLIC 52083 1% 29% 2

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 183881 45% 1% 152
2 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 16574 3% 2% 9
3 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 10792 3% 1% 9
4 LINEAR & MULTILINEAR ALGEBRA 4417 2% 1% 8
5 TRENDS IN MATHEMATICS 3120 1% 1% 5
6 DISCRETE MATHEMATICS 3094 6% 0% 20
7 ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 1494 1% 0% 4
8 INTEGRAL EQUATIONS AND OPERATOR THEORY 1459 2% 0% 6
9 COMBINATORICA 1079 1% 0% 4
10 OPERATORS AND MATRICES 767 1% 0% 2

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 NONMAXIMAL EIGENVALUES 546898 2% 100% 6 Search NONMAXIMAL+EIGENVALUES Search NONMAXIMAL+EIGENVALUES
2 NONNEGATIVE RANK FACTORIZATION 291678 1% 80% 4 Search NONNEGATIVE+RANK+FACTORIZATION Search NONNEGATIVE+RANK+FACTORIZATION
3 CONE PRESERVING MAP 284839 1% 63% 5 Search CONE+PRESERVING+MAP Search CONE+PRESERVING+MAP
4 PERRON SCHAEFER CONDITION 273449 1% 100% 3 Search PERRON+SCHAEFER+CONDITION Search PERRON+SCHAEFER+CONDITION
5 SEMI DISTINGUISHED INVARIANT FACE 273449 1% 100% 3 Search SEMI+DISTINGUISHED+INVARIANT+FACE Search SEMI+DISTINGUISHED+INVARIANT+FACE
6 HEIGHT CHARACTERISTIC 205085 1% 75% 3 Search HEIGHT+CHARACTERISTIC Search HEIGHT+CHARACTERISTIC
7 PROPER SPLITTINGS 205085 1% 75% 3 Search PROPER+SPLITTINGS Search PROPER+SPLITTINGS
8 BEN ISRAEL CHARNES SPACES 182299 1% 100% 2 Search BEN+ISRAEL+CHARNES+SPACES Search BEN+ISRAEL+CHARNES+SPACES
9 DISTINGUISHED EIGENVALUE 182299 1% 100% 2 Search DISTINGUISHED+EIGENVALUE Search DISTINGUISHED+EIGENVALUE
10 GREENE KLEITMAN THEOREM 182299 1% 100% 2 Search GREENE+KLEITMAN+THEOREM Search GREENE+KLEITMAN+THEOREM

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 TAM, BS , (2001) A CONE-THEORETIC APPROACH TO THE SPECTRAL THEORY OF POSITIVE LINEAR OPERATORS: THE FINITE-DIMENSIONAL CASE.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 5. ISSUE 2. P. 207-277 33 70% 13
2 TAM, BS , SCHNEIDER, H , (2003) LINEAR EQUATIONS OVER CONES AND COLLATZ-WIELANDT NUMBERS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 363. ISSUE . P. 295-332 18 100% 5
3 JAYARAMAN, S , (2010) NONNEGATIVE REFLEXIVE GENERALIZED INVERSES AND APPLICATIONS TO GROUP MONOTONICITY.OPERATORS AND MATRICES. VOL. 4. ISSUE 3. P. 353-363 15 88% 0
4 TAM, BS , (2004) THE PERRON GENERALIZED EIGENSPACE AND THE SPECTRAL CONE OF A CONE-PRESERVING MAP.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 393. ISSUE . P. 375-429 14 82% 2
5 TAM, BS , SCHNEIDER, H , (2000) ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 353. ISSUE 1. P. 209-245 14 93% 1
6 HERSHKOWITZ, D , (1999) THE COMBINATORIAL STRUCTURE OF GENERALIZED EIGENSPACES - FROM NONNEGATIVE MATRICES TO GENERAL MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 303. ISSUE . P. 173-191 12 100% 1
7 BERGER, E , HARTMAN, IBA , (2012) A UNIFIED APPROACH TO KNOWN AND UNKNOWN CASES OF BERGE'S CONJECTURE.JOURNAL OF GRAPH THEORY. VOL. 71. ISSUE 3. P. 317-330 8 100% 1
8 JAYARAMAN, S , (2010) NONNEGATIVE GENERALIZED INVERSES AND INTERVAL LINEAR PROGRAMS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 31. ISSUE 11. P. 1272-1282 9 90% 0
9 SAVCHENKO, SV , (2003) ON THE PERRON ROOTS OF PRINCIPAL SUBMATRICES OF CO-ORDER ONE OF IRREDUCIBLE NONNEGATIVE MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 361. ISSUE . P. 257-277 11 85% 4
10 HARTMAN, IBA , (2006) BERGE'S CONJECTURE ON DIRECTED PATH PARTITIONS - A SURVEY.DISCRETE MATHEMATICS. VOL. 306. ISSUE 19-20. P. 2498-2514 11 69% 1

Classes with closest relation at Level 1


Rank Class id link
1 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
2 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY
3 21461 POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS
4 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
5 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
6 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
7 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
8 26329 MATH INF//NORMALIZED MATCHING PROPERTY//LYM PROPERTY
9 6078 DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE
10 33854 BOOLEAN EQUATIONS//LDCSEE//LCSEE

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