Class information for:
Level 1: DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6078 1535 16.1 44%


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
6078 1                   DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE 1535

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 DRAZIN INVERSE authKW 3502415 13% 85% 206
2 MOORE PENROSE INVERSE authKW 2495000 16% 52% 241
3 GROUP INVERSE authKW 2110892 9% 75% 142
4 GENERALIZED INVERSE authKW 1505257 12% 40% 191
5 REVERSE ORDER LAW authKW 1352591 4% 100% 68
6 WEIGHTED MOORE PENROSE INVERSE authKW 818361 3% 86% 48
7 BLOCK MATRIX authKW 795751 4% 58% 69
8 GENERALIZED DRAZIN INVERSE authKW 678386 2% 95% 36
9 IDEMPOTENT MATRIX authKW 629338 3% 70% 45
10 OUTER INVERSE authKW 522756 2% 91% 29

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 50507 71% 0% 1092
2 Mathematics 36993 66% 0% 1020
3 Operations Research & Management Science 17 1% 0% 19
4 Statistics & Probability 2 1% 0% 13
5 Computer Science, Software Engineering 1 1% 0% 11
6 Computer Science, Cybernetics 0 0% 0% 2
7 Computer Science, Theory & Methods 0 1% 0% 13
8 Automation & Control Systems -0 0% 0% 6
9 Engineering, General -0 1% 0% 8
10 Social Sciences, Mathematical Methods -0 0% 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 SCI MATH 182907 12% 5% 183
2 CMAT MATEMAT 142073 1% 71% 10
3 MATH NONLINEAR SCI 141451 3% 14% 52
4 YUAN YUNG TSENG FUNCT ANAL 141446 1% 89% 8
5 MATEMAT MULTIDISCIPLINAR 63118 2% 9% 36
6 MATH INFORMAT ECONOMETR 47731 0% 40% 6
7 TSENG YUAN RONG FUNCT ANAL 39782 0% 100% 2
8 TSENG YUAN YUN FUNCT ANAL 39782 0% 100% 2
9 YUANYUNG TSENG FUNCT ANAL 39782 0% 100% 2
10 UNIV MATEMAT MULTIDISCILPINAR 26520 0% 67% 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 291643 27% 4% 410
2 LINEAR & MULTILINEAR ALGEBRA 192794 7% 9% 113
3 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 81709 3% 8% 53
4 APPLIED MATHEMATICS AND COMPUTATION 75718 17% 1% 258
5 FILOMAT 18329 2% 3% 34
6 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 9210 1% 4% 13
7 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 5787 2% 1% 25
8 OPERATORS AND MATRICES 5067 1% 2% 11
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 3621 1% 2% 12
10 AEQUATIONES MATHEMATICAE 2636 1% 2% 8

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 DRAZIN INVERSE 3502415 13% 85% 206 Search DRAZIN+INVERSE Search DRAZIN+INVERSE
2 MOORE PENROSE INVERSE 2495000 16% 52% 241 Search MOORE+PENROSE+INVERSE Search MOORE+PENROSE+INVERSE
3 GROUP INVERSE 2110892 9% 75% 142 Search GROUP+INVERSE Search GROUP+INVERSE
4 GENERALIZED INVERSE 1505257 12% 40% 191 Search GENERALIZED+INVERSE Search GENERALIZED+INVERSE
5 REVERSE ORDER LAW 1352591 4% 100% 68 Search REVERSE+ORDER+LAW Search REVERSE+ORDER+LAW
6 WEIGHTED MOORE PENROSE INVERSE 818361 3% 86% 48 Search WEIGHTED+MOORE+PENROSE+INVERSE Search WEIGHTED+MOORE+PENROSE+INVERSE
7 BLOCK MATRIX 795751 4% 58% 69 Search BLOCK+MATRIX Search BLOCK+MATRIX
8 GENERALIZED DRAZIN INVERSE 678386 2% 95% 36 Search GENERALIZED+DRAZIN+INVERSE Search GENERALIZED+DRAZIN+INVERSE
9 IDEMPOTENT MATRIX 629338 3% 70% 45 Search IDEMPOTENT+MATRIX Search IDEMPOTENT+MATRIX
10 OUTER INVERSE 522756 2% 91% 29 Search OUTER+INVERSE Search OUTER+INVERSE

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 DENG, CY , WEI, YM , (2012) FURTHER RESULTS ON THE MOORE-PENROSE INVERTIBILITY OF PROJECTORS AND ITS APPLICATIONS.LINEAR & MULTILINEAR ALGEBRA. VOL. 60. ISSUE 1. P. 109-129 35 100% 4
2 DENG, CY , WEI, YM , (2011) REPRESENTATIONS FOR THE DRAZIN INVERSE OF 2 X 2 BLOCK-OPERATOR MATRIX WITH SINGULAR SCHUR COMPLEMENT.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 11. P. 2766-2783 31 100% 19
3 XU, C , (2015) ON THE IDEMPOTENCY, INVOLUTION AND NILPOTENCY OF A LINEAR COMBINATION OF TWO MATRICES.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 8. P. 1664 -1677 31 89% 0
4 DENG, CY , WEI, YM , XU, QX , SONG, CN , (2012) ON DISJOINT RANGE OPERATORS IN A HILBERT SPACE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 9. P. 2366 -2385 29 100% 2
5 DENG, CY , CVETKOVIC-ILIC, DS , WEI, YM , (2012) PROPERTIES OF THE COMBINATIONS OF COMMUTATIVE IDEMPOTENTS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 1. P. 202-221 28 100% 1
6 DENG, CY , WEI, YM , (2009) CHARACTERIZATIONS AND REPRESENTATIONS OF THE DRAZIN INVERSE INVOLVING IDEMPOTENTS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 431. ISSUE 9. P. 1526-1538 29 100% 8
7 ZHANG, NM , WEI, YM , (2008) A NOTE ON THE PERTURBATION OF AN OUTER INVERSE.CALCOLO. VOL. 45. ISSUE 4. P. 263 -273 32 89% 4
8 HUANG, QL , ZHU, LP , GENG, WH , YU, J , (2012) PERTURBATION AND EXPRESSION FOR INNER INVERSES IN BANACH SPACES AND ITS APPLICATIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 9. P. 3721-3735 26 96% 0
9 SHENG, XP , CHEN, GL , (2013) INNOVATION BASED ON GAUSSIAN ELIMINATION TO COMPUTE GENERALIZED INVERSE AT,S-(2).COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 65. ISSUE 11. P. 1823-1829 25 96% 1
10 LIU, X , (2015) THE REPRESENTATIONS FOR THE DRAZIN INVERSE OF A SUM OF TWO MATRICES INVOLVING AN IDEMPOTENT MATRIX AND APPLICATIONS.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 18. ISSUE 1. P. 121 -137 23 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
2 11027 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
3 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
4 17364 LINEAR SUFFICIENCY//BALANCED LOSS FUNCTION//OLSE
5 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
6 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
7 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
8 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
9 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
10 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER

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