Class information for:
Level 2: LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
943 10922 18.3 43%


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
5831 1                   UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY 1570
6078 1                   DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE 1535
7998 1                   TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE 1304
8229 1                   MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS 1278
8262 1                   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING 1273
11027 1                   MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION 1014
14267 1                   NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION 781
17842 1                   NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL 580
19087 1                   INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES 523
24535 1                   SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION 308
26153 1                   G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER 262
26238 1                   ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY 260
30600 1                   MATRIX BOUND//CONTINUOUS ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION CARE 166
37021 1                   SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY 68

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 LINEAR ALGEBRA AND ITS APPLICATIONS journal 1574932 23% 22% 2542
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS journal 698018 7% 34% 730
3 MOORE PENROSE INVERSE authKW 625448 3% 70% 322
4 DRAZIN INVERSE authKW 496672 2% 86% 207
5 MATRIX EQUATION authKW 412700 2% 75% 196
6 GENERALIZED INVERSE authKW 391589 2% 54% 260
7 NUMERICAL RANGE authKW 360802 2% 58% 221
8 GROUP INVERSE authKW 322017 1% 78% 148
9 MATHEMATICS, APPLIED WoSSC 317776 67% 2% 7316
10 UNITARILY INVARIANT NORM authKW 314658 1% 79% 142

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 317776 67% 2% 7316
2 Mathematics 165193 53% 1% 5789
3 Automation & Control Systems 5096 5% 0% 528
4 Computer Science, Software Engineering 1077 3% 0% 304
5 Computer Science, Theory & Methods 804 3% 0% 333
6 Physics, Mathematical 691 3% 0% 320
7 Operations Research & Management Science 167 1% 0% 150
8 Mathematics, Interdisciplinary Applications 140 1% 0% 142
9 Engineering, General 109 1% 0% 143
10 Engineering, Electrical & Electronic 64 4% 0% 475

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 MATH 83433 33% 1% 3599
2 ARTS SCI INFORMAT SCI 41907 0% 100% 15
3 TENNOJI BRANCH 39113 0% 100% 14
4 DIPARTIMENTO CHIM FIS MATEMAT 38781 0% 73% 19
5 CEAAS 35040 0% 34% 37
6 MATH NONLINEAR SCI 34891 1% 18% 69
7 LEHRGEBIET MATH PHYS 34221 0% 88% 14
8 SCI MATH 30367 2% 6% 200
9 CONTROL THEORY GUIDANCE TECHNOL 21868 0% 15% 51
10 ARGENTINO MATEMAT 21792 0% 31% 25

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 1574932 23% 22% 2542
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 698018 7% 34% 730
3 LINEAR & MULTILINEAR ALGEBRA 236330 3% 25% 334
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 171616 2% 30% 205
5 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 95017 2% 18% 186
6 APPLIED MATHEMATICS AND COMPUTATION 44666 5% 3% 533
7 OPERATORS AND MATRICES 42536 1% 18% 85
8 BIT NUMERICAL MATHEMATICS 39214 1% 10% 145
9 MATHEMATICAL INEQUALITIES & APPLICATIONS 30371 1% 9% 124
10 NUMERISCHE MATHEMATIK 27130 2% 6% 171

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 MOORE PENROSE INVERSE 625448 3% 70% 322 Search MOORE+PENROSE+INVERSE Search MOORE+PENROSE+INVERSE
2 DRAZIN INVERSE 496672 2% 86% 207 Search DRAZIN+INVERSE Search DRAZIN+INVERSE
3 MATRIX EQUATION 412700 2% 75% 196 Search MATRIX+EQUATION Search MATRIX+EQUATION
4 GENERALIZED INVERSE 391589 2% 54% 260 Search GENERALIZED+INVERSE Search GENERALIZED+INVERSE
5 NUMERICAL RANGE 360802 2% 58% 221 Search NUMERICAL+RANGE Search NUMERICAL+RANGE
6 GROUP INVERSE 322017 1% 78% 148 Search GROUP+INVERSE Search GROUP+INVERSE
7 UNITARILY INVARIANT NORM 314658 1% 79% 142 Search UNITARILY+INVARIANT+NORM Search UNITARILY+INVARIANT+NORM
8 TOEPLITZ MATRIX 262781 2% 44% 215 Search TOEPLITZ+MATRIX Search TOEPLITZ+MATRIX
9 NONLINEAR MATRIX EQUATION 235625 1% 89% 95 Search NONLINEAR+MATRIX+EQUATION Search NONLINEAR+MATRIX+EQUATION
10 SINGULAR VALUES 215580 2% 37% 208 Search SINGULAR+VALUES Search SINGULAR+VALUES

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 SIMONCINI, V , (2016) COMPUTATIONAL METHODS FOR LINEAR MATRIX EQUATIONS.SIAM REVIEW. VOL. 58. ISSUE 3. P. 377 -441 117 68% 1
2 CHAN, RH , NG, MK , (1996) CONJUGATE GRADIENT METHODS FOR TOEPLITZ SYSTEMS.SIAM REVIEW. VOL. 38. ISSUE 3. P. 427 -482 74 82% 390
3 HUANG, N , MA, CF , (2014) THE MODIFIED CONJUGATE GRADIENT METHODS FOR SOLVING A CLASS OF GENERALIZED COUPLED SYLVESTER-TRANSPOSE MATRIX EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 67. ISSUE 8. P. 1545-1558 53 95% 2
4 HUANG, N , MA, CF , (2016) MODIFIED CONJUGATE GRADIENT METHOD FOR OBTAINING THE MINIMUM-NORM SOLUTION OF THE GENERALIZED COUPLED SYLVESTER-CONJUGATE MATRIX EQUATIONS.APPLIED MATHEMATICAL MODELLING. VOL. 40. ISSUE 2. P. 1260 -1275 52 93% 0
5 XIE, YJ , HUANG, N , MA, CF , (2014) ITERATIVE METHOD TO SOLVE THE GENERALIZED COUPLED SYLVESTER-TRANSPOSE LINEAR MATRIX EQUATIONS OVER REFLEXIVE OR ANTI-REFLEXIVE MATRIX.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 67. ISSUE 11. P. 2071 -2084 47 98% 4
6 DEHGHAN, M , HAJARIAN, M , (2011) ANALYSIS OF AN ITERATIVE ALGORITHM TO SOLVE THE GENERALIZED COUPLED SYLVESTER MATRIX EQUATIONS.APPLIED MATHEMATICAL MODELLING. VOL. 35. ISSUE 7. P. 3285-3300 47 89% 60
7 PENG, YG , WANG, X , (2014) A FINITE ITERATIVE ALGORITHM FOR SOLVING THE LEAST-NORM GENERALIZED (P, Q) REFLEXIVE SOLUTION OF THE MATRIX EQUATIONS A(I)XB(I) = C-I.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 17. ISSUE 3. P. 547-561 42 100% 3
8 HE, ZH , WANG, QW , (2015) THE GENERAL SOLUTIONS TO SOME SYSTEMS OF MATRIX EQUATIONS.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 10. P. 2017 -2032 40 100% 2
9 WANG, QW , HE, ZH , (2013) A SYSTEM OF MATRIX EQUATIONS AND ITS APPLICATIONS.SCIENCE CHINA-MATHEMATICS. VOL. 56. ISSUE 9. P. 1795-1820 39 100% 9
10 XIE, YJ , MA, CF , (2015) THE SCALING CONJUGATE GRADIENT ITERATIVE METHOD FOR TWO TYPES OF LINEAR MATRIX EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 70. ISSUE 5. P. 1098 -1113 41 95% 0

Classes with closest relation at Level 2


Rank Class id link
1 3429 QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS
2 2286 LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN
3 939 DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
4 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
5 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
6 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS
7 1108 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY
8 3176 CLIFFORD ANALYSIS//CLIFFORD GRP//ADVANCES IN APPLIED CLIFFORD ALGEBRAS
9 2477 EIGENVECTOR DERIVATIVES//STRUCTURAL DYNAMICS//COMPONENT MODE SYNTHESIS
10 28 AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL

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