Class information for:
Level 1: G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26153 262 14.9 32%


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
26153 1                   G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER 262

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 G MAJORIZATION authKW 1175180 4% 92% 11
2 GROUP MAJORIZATION authKW 944029 3% 90% 9
3 STRONG LINEAR PRESERVER authKW 815829 3% 100% 7
4 EATON TRIPLE authKW 699282 2% 100% 6
5 GIC ORDERING authKW 699282 2% 100% 6
6 MATRIX MAJORIZATION authKW 634530 3% 78% 7
7 LINEAR PRESERVER authKW 624683 10% 20% 27
8 GROUP INDUCED CONE ORDERING authKW 582735 2% 100% 5
9 FINITE REFLECTION GROUP authKW 524458 2% 75% 6
10 EATON SYSTEM authKW 466188 2% 100% 4

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 10482 85% 0% 223
2 Mathematics, Applied 7057 65% 0% 169
3 Operations Research & Management Science 34 3% 0% 8
4 Statistics & Probability 13 2% 0% 6
5 Computer Science, Software Engineering 2 1% 0% 3
6 Social Sciences, Mathematical Methods 1 0% 0% 1
7 Mathematics, Interdisciplinary Applications 0 1% 0% 2
8 Engineering, Industrial 0 0% 0% 1
9 Computer Science, Hardware & Architecture 0 0% 0% 1
10 Business 0 0% 0% 1

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 CIENCIAS MATEMAT LICADA 38848 0% 33% 1
2 DIPARTIMENTO ECON POLIT STAT 13708 1% 6% 2
3 MATH INFO SCI 9710 0% 8% 1
4 PL MATH COMP SCI 7865 4% 1% 11
5 DMIA 6854 0% 6% 1
6 INT MANAGEMENT SCI ENGN 2912 0% 3% 1
7 MATH 2550 37% 0% 97
8 ANAL TIME SERIES 1791 0% 2% 1
9 M MO 1789 1% 1% 2
10 DELHI 1353 0% 1% 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 159019 48% 1% 125
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 17044 4% 1% 10
3 LINEAR & MULTILINEAR ALGEBRA 14941 5% 1% 13
4 MATHEMATICAL INEQUALITIES & APPLICATIONS 6706 3% 1% 9
5 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 4414 3% 0% 9
6 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 4219 2% 1% 5
7 JOURNAL OF CONVEX ANALYSIS 1225 1% 0% 3
8 OPERATORS AND MATRICES 982 1% 0% 2
9 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 817 1% 0% 2
10 JOURNAL OF INEQUALITIES AND APPLICATIONS 558 2% 0% 4

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 G MAJORIZATION 1175180 4% 92% 11 Search G+MAJORIZATION Search G+MAJORIZATION
2 GROUP MAJORIZATION 944029 3% 90% 9 Search GROUP+MAJORIZATION Search GROUP+MAJORIZATION
3 STRONG LINEAR PRESERVER 815829 3% 100% 7 Search STRONG+LINEAR+PRESERVER Search STRONG+LINEAR+PRESERVER
4 EATON TRIPLE 699282 2% 100% 6 Search EATON+TRIPLE Search EATON+TRIPLE
5 GIC ORDERING 699282 2% 100% 6 Search GIC+ORDERING Search GIC+ORDERING
6 MATRIX MAJORIZATION 634530 3% 78% 7 Search MATRIX+MAJORIZATION Search MATRIX+MAJORIZATION
7 LINEAR PRESERVER 624683 10% 20% 27 Search LINEAR+PRESERVER Search LINEAR+PRESERVER
8 GROUP INDUCED CONE ORDERING 582735 2% 100% 5 Search GROUP+INDUCED+CONE+ORDERING Search GROUP+INDUCED+CONE+ORDERING
9 FINITE REFLECTION GROUP 524458 2% 75% 6 Search FINITE+REFLECTION+GROUP Search FINITE+REFLECTION+GROUP
10 EATON SYSTEM 466188 2% 100% 4 Search EATON+SYSTEM Search EATON+SYSTEM

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 LJUBENOVIC, M , DJORDJEVIC, DS , (2016) LINEAR PRESERVERS OF WEAK MAJORIZATION ON L(P)(I)(+), WHEN P IS AN ELEMENT OF (1, INFINITY).LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 497. ISSUE . P. 181 -198 14 82% 0
2 NIEZGODA, M , (2010) COMPLEMENTS TO SOME RESULTS ON EIGENVALUES AND SINGULAR VALUES OF MATRICES.LINEAR & MULTILINEAR ALGEBRA. VOL. 58. ISSUE 1. P. 1 -13 15 83% 0
3 LJUBENOVIC, M , DJORDJEVIC, DS , (2017) LINEAR PRESERVERS OF WEAK MAJORIZATION ON L(1)(I)(+), WHEN I IS AN INFINITE SET.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 517. ISSUE . P. 177 -198 15 63% 0
4 NIEZGODA, M , (2008) SOME REMARKS ON NORMAL MAPS WITH APPLICATIONS TO EIGENVALUES AND SINGULAR VALUES OF MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 428. ISSUE 8-9. P. 2116-2129 11 100% 0
5 NIEZGODA, M , (2009) MORPHISMS OF NORMAL DECOMPOSITION SYSTEMS.JOURNAL OF CONVEX ANALYSIS. VOL. 16. ISSUE 2. P. 617-632 13 81% 0
6 NIEZGODA, M , (2007) AN EXTENSION OF A RESULT OF HWANG AND PYO.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 420. ISSUE 1. P. 163-174 12 92% 0
7 NIEZGODA, M , (2009) A UNIFIED TREATMENT OF CERTAIN MAJORIZATION RESULTS ON EIGENVALUES AND SINGULAR VALUES OF MATRICES.FORUM MATHEMATICUM. VOL. 21. ISSUE 2. P. 333 -346 12 86% 0
8 KHALOOEI, F , RADJABALIPOUR, M , TORABIAN, P , (2008) LINEAR PRESERVERS OF LEFT MATRIX MAJORIZATION.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 17. ISSUE . P. 304-315 10 91% 3
9 ARMANDNEJAD, A , MOHAMMADI, Z , AKBARZADEH, F , (2013) LINEAR PRESERVERS OF G-ROW AND G-COLUMN MAJORIZATION ON M-N,M-M.BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. VOL. 39. ISSUE 5. P. 865-880 8 100% 0
10 NIEZGODA, M , (2006) UPPER BOUNDS ON CERTAIN FUNCTIONALS DEFINED ON GROUPS OF LINEAR OPERATORS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 15. ISSUE . P. 191 -200 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
2 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
3 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
4 17842 NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL
5 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
6 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
7 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
8 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
9 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
10 31880 ROBUST ROTATABILITY//ROBUST SLOPE ROTATABILITY//SECOND ORDER SLOPE ROTATABLE DESIGNS

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