Class information for:
Level 3: LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
485 23484 17.7 39%



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
2135 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5069
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
3563 2             BENFORDS LAW//CESTAC METHOD//3X1 PROBLEM 1323
3826 2             QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA 918
4017 2             APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS 673

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 2040798 19% 35% 4037
2 BENFORDS LAW authKW 985271 4% 80% 90
3 MATHEMATICS, APPLIED WoSSC 614746 67% 3% 14192
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS journal 554584 4% 43% 908
5 MOORE PENROSE INVERSE authKW 364573 2% 74% 343
6 QUADRATIC STOCHASTIC OPERATOR authKW 313352 1% 100% 23
7 MATHEMATICS WoSSC 303412 52% 2% 10952
8 DRAZIN INVERSE authKW 290872 1% 92% 221
9 GREATEST TYPE DIVISOR authKW 258856 1% 100% 19
10 ORDER OF CONVERGENCE authKW 258108 1% 77% 235

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 614746 67% 3% 14192
2 Mathematics 303412 52% 2% 10952
3 Automation & Control Systems 10167 5% 1% 1039
4 Computer Science, Theory & Methods 8057 6% 1% 1273
5 Computer Science, Software Engineering 3882 4% 0% 765
6 Operations Research & Management Science 2402 3% 0% 611
7 Statistics & Probability 1117 2% 0% 492
8 Mathematics, Interdisciplinary Applications 1111 2% 0% 450
9 Physics, Mathematical 727 2% 0% 500
10 Engineering, General 503 2% 0% 364

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 144310 31% 2% 6617
2 MATH COMPUTAT 77834 1% 48% 112
3 MATEMAT MULTIDISCIPLINAR 69762 1% 35% 141
4 COMPUTAT THEORET SCI 51317 1% 18% 21
5 LIRIMA UMMISCO 40872 0% 100% 3
6 KAUNAS PUBL SECUR 30652 0% 75% 3
7 AGIM CNRS 27248 0% 100% 2
8 AGIM CNRS UJF 3405 27248 0% 100% 2
9 MATH ANAL GEOMETRY 27248 0% 100% 2
10 UJF 3405 27248 0% 100% 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 2040798 19% 35% 4037
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 554584 4% 43% 908
3 LINEAR & MULTILINEAR ALGEBRA 230209 2% 35% 460
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 216220 2% 47% 321
5 APPLIED MATHEMATICS AND COMPUTATION 115212 6% 7% 1192
6 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 70051 1% 22% 223
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 59183 3% 6% 651
8 NUMERICAL ALGORITHMS 54849 1% 15% 262
9 COMPUTING 48717 1% 14% 251
10 NUMERISCHE MATHEMATIK 43451 1% 10% 302

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 BENFORDS LAW 985271 4% 80% 90 Search BENFORDS+LAW Search BENFORDS+LAW
2 MOORE PENROSE INVERSE 364573 2% 74% 343 Search MOORE+PENROSE+INVERSE Search MOORE+PENROSE+INVERSE
3 QUADRATIC STOCHASTIC OPERATOR 313352 1% 100% 23 Search QUADRATIC+STOCHASTIC+OPERATOR Search QUADRATIC+STOCHASTIC+OPERATOR
4 DRAZIN INVERSE 290872 1% 92% 221 Search DRAZIN+INVERSE Search DRAZIN+INVERSE
5 GREATEST TYPE DIVISOR 258856 1% 100% 19 Search GREATEST+TYPE+DIVISOR Search GREATEST+TYPE+DIVISOR
6 ORDER OF CONVERGENCE 258108 1% 77% 235 Search ORDER+OF+CONVERGENCE Search ORDER+OF+CONVERGENCE
7 EVOLUTION ALGEBRA 247705 1% 91% 20 Search EVOLUTION+ALGEBRA Search EVOLUTION+ALGEBRA
8 GENERALIZED INVERSE 239970 1% 59% 284 Search GENERALIZED+INVERSE Search GENERALIZED+INVERSE
9 SEMILOCAL CONVERGENCE 226158 1% 94% 167 Search SEMILOCAL+CONVERGENCE Search SEMILOCAL+CONVERGENCE
10 GROUP INVERSE 226083 1% 91% 173 Search GROUP+INVERSE Search GROUP+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 SIMONCINI, V , (2016) COMPUTATIONAL METHODS FOR LINEAR MATRIX EQUATIONS.SIAM REVIEW. VOL. 58. ISSUE 3. P. 377 -441 119 69% 1
2 CHAN, RH , NG, MK , (1996) CONJUGATE GRADIENT METHODS FOR TOEPLITZ SYSTEMS.SIAM REVIEW. VOL. 38. ISSUE 3. P. 427 -482 75 83% 390
3 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 53 95% 0
4 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
5 BENVENUTI, L , FARINA, L , (2004) TUTORIAL ON THE POSITIVE REALIZATION PROBLEM.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 49. ISSUE 5. P. 651 -664 61 87% 147
6 PETKOVIC, MS , NETA, B , PETKOVIC, LD , DZUNIC, J , (2014) MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS: A SURVEY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 226. ISSUE . P. 635 -660 47 96% 10
7 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
8 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
9 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
10 JOHNSON, CR , SMITH, RL , (2011) INVERSE M-MATRICES, II.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 5. P. 953-983 48 94% 5

Classes with closest relation at Level 3



Rank Class id link
1 145 MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS
2 404 MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED
3 249 MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH
4 377 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//LATTICE RULES
5 446 MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE
6 664 MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS
7 74 AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//AUTOMATICA
8 568 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
9 669 EXPERIMENTAL EVOLUTION//EVOLUTIONARY BIOLOGY//EVOLUTION
10 205 MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA

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