Class information for:
Level 1: H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21051 435 11.8 40%


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
21051 1                   H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE 435

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 H MATRICES authKW 1142863 8% 48% 34
2 MINIMUM EIGENVALUE authKW 999235 5% 65% 22
3 DIAGONAL DOMINANCE authKW 743565 6% 42% 25
4 GENERALIZED DIAGONALLY DOMINANT MATRIX authKW 701953 2% 100% 10
5 H MATRIX authKW 666798 9% 25% 38
6 NEKRASOV MATRICES authKW 631758 2% 100% 9
7 DIAGONALLY DOMINANT MATRIX authKW 584948 3% 56% 15
8 SUBDIRECT SUM authKW 568580 2% 90% 9
9 M MATRIX authKW 549154 12% 15% 53
10 FAN PRODUCT authKW 516889 2% 82% 9

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 17344 78% 0% 340
2 Mathematics 9043 62% 0% 269
3 Statistics & Probability 36 3% 0% 12
4 Automation & Control Systems 15 2% 0% 7
5 Mechanics 3 2% 0% 9
6 Mathematics, Interdisciplinary Applications 2 1% 0% 4
7 Social Sciences, Mathematical Methods 0 0% 0% 1
8 Physics, Mathematical 0 1% 0% 4
9 Engineering, General 0 1% 0% 3
10 Remote Sensing 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 HEC MANAGMENT 70195 0% 100% 1
2 IOT PLICAT ENGN FUJIAN PROV UNIV 70195 0% 100% 1
3 GEODESY GEOINFOMAT 35097 0% 50% 1
4 OXBRIDGE 28711 1% 14% 3
5 MATH STAT PHILOSOPHY 27846 1% 8% 5
6 NORMAL SCI 23397 0% 33% 1
7 SKLMSE 22557 1% 11% 3
8 PL MATH SOFTWARE 17069 1% 8% 3
9 MATEMAT MULTIDISCIPLINARIA 16513 0% 12% 2
10 COMP PHY 14037 0% 20% 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 132371 34% 1% 147
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 59152 6% 4% 24
3 JOURNAL OF MATHEMATICAL INEQUALITIES 10283 2% 2% 9
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 8479 5% 1% 20
5 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 8355 3% 1% 11
6 LINEAR & MULTILINEAR ALGEBRA 7657 3% 1% 12
7 OPEN MATHEMATICS 5872 1% 2% 4
8 NUMERICAL ALGORITHMS 4745 3% 1% 11
9 ADVANCES IN COMPUTATIONAL MATHEMATICS 4158 1% 1% 5
10 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 3966 3% 1% 11

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 H MATRICES 1142863 8% 48% 34 Search H+MATRICES Search H+MATRICES
2 MINIMUM EIGENVALUE 999235 5% 65% 22 Search MINIMUM+EIGENVALUE Search MINIMUM+EIGENVALUE
3 DIAGONAL DOMINANCE 743565 6% 42% 25 Search DIAGONAL+DOMINANCE Search DIAGONAL+DOMINANCE
4 GENERALIZED DIAGONALLY DOMINANT MATRIX 701953 2% 100% 10 Search GENERALIZED+DIAGONALLY+DOMINANT+MATRIX Search GENERALIZED+DIAGONALLY+DOMINANT+MATRIX
5 H MATRIX 666798 9% 25% 38 Search H+MATRIX Search H+MATRIX
6 NEKRASOV MATRICES 631758 2% 100% 9 Search NEKRASOV+MATRICES Search NEKRASOV+MATRICES
7 DIAGONALLY DOMINANT MATRIX 584948 3% 56% 15 Search DIAGONALLY+DOMINANT+MATRIX Search DIAGONALLY+DOMINANT+MATRIX
8 SUBDIRECT SUM 568580 2% 90% 9 Search SUBDIRECT+SUM Search SUBDIRECT+SUM
9 M MATRIX 549154 12% 15% 53 Search M+MATRIX Search M+MATRIX
10 FAN PRODUCT 516889 2% 82% 9 Search FAN+PRODUCT Search FAN+PRODUCT

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 SZULC, T , CVETKOVIC, L , NEDOVIC, M , (2015) SCALING TECHNIQUE FOR PARTITION-NEKRASOV MATRICES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 271. ISSUE . P. 201 -208 14 100% 0
2 ZHANG, CY , XU, FM , XU, ZB , LI, JC , (2014) GENERAL H-MATRICES AND THEIR SCHUR COMPLEMENTS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 9. ISSUE 5. P. 1141 -1168 15 94% 0
3 KOSTIC, V , (2015) ON GENERAL PRINCIPLES OF EIGENVALUE LOCALIZATIONS VIA DIAGONAL DOMINANCE.ADVANCES IN COMPUTATIONAL MATHEMATICS. VOL. 41. ISSUE 1. P. 55 -75 17 68% 4
4 ZHAO, JX , WANG, F , LI, YT , (2013) THE DIAGONALLY DOMINANT DEGREE AND DISC SEPARATION FOR THE SCHUR COMPLEMENT OF OSTROWSKI MATRIX.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 13 100% 0
5 GARCIA-ESNAOLA, M , PENA, JM , (2014) ERROR BOUNDS FOR LINEAR COMPLEMENTARITY PROBLEMS OF NEKRASOV MATRICES.NUMERICAL ALGORITHMS. VOL. 67. ISSUE 3. P. 655 -667 14 88% 3
6 HUANG, ZG , XU, Z , LU, Q , (2016) SOME NEW INEQUALITIES FOR THE HADAMARD PRODUCT OF A NONSINGULAR M-MATRIX AND ITS INVERSE.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 7. P. 1362 -1378 12 100% 0
7 ZHANG, J , LIU, JZ , TU, G , (2013) THE IMPROVED DISC THEOREMS FOR THE SCHUR COMPLEMENTS OF DIAGONALLY DOMINANT MATRICES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 12 100% 1
8 LI, CQ , LI, YT , (2016) WEAKLY CHAINED DIAGONALLY DOMINANT B-MATRICES AND ERROR BOUNDS FOR LINEAR COMPLEMENTARITY PROBLEMS.NUMERICAL ALGORITHMS. VOL. 73. ISSUE 4. P. 985 -998 15 75% 0
9 WANG, F , SUN, DS , (2015) THE ESTIMATES OF DIAGONALLY DOMINANT DEGREE AND EIGENVALUES INCLUSION REGIONS FOR THE SCHUR COMPLEMENT OF BLOCK DIAGONALLY DOMINANT MATRICES.OPEN MATHEMATICS. VOL. 13. ISSUE . P. 781 -794 11 100% 0
10 GARCIA-ESNAOLA, M , PENA, JM , (2016) B-NEKRASOV MATRICES AND ERROR BOUNDS FOR LINEAR COMPLEMENTARITY PROBLEMS.NUMERICAL ALGORITHMS. VOL. 72. ISSUE 2. P. 435 -445 11 85% 1

Classes with closest relation at Level 1


Rank Class id link
1 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
2 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
3 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
4 35642 IMPLICIT LINEAR OPERATORS//MATRIX DIAGONAL EXTRACTION//TRACE ESTIMATION
5 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY
6 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
7 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
8 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
9 10839 INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE
10 37155 LOCATION OF THE ZEROS//ANNULAR BOUND//LOCATION OF ZEROS OF POLYNOMIALS

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