Class information for:
Level 1: MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11027 1014 21.2 54%


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
11027 1                   MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION 1014

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 MATRIX EQUATION authKW 2640600 15% 58% 151
2 LINEAR MATRIX EQUATION authKW 776257 4% 66% 39
3 LEAST SQUARES SOLUTION authKW 665129 5% 47% 47
4 MINIMAL RANK authKW 656042 3% 68% 32
5 GENERALIZED SYLVESTER MATRIX EQUATION authKW 572132 2% 100% 19
6 REFLEXIVE MATRIX authKW 572132 2% 100% 19
7 OPTIMAL APPROXIMATION authKW 503260 4% 43% 39
8 HERMITIAN SOLUTION authKW 483467 2% 94% 17
9 MAXIMAL RANK authKW 468943 3% 54% 29
10 SYLVESTER MATRIX EQUATION authKW 457306 3% 56% 27

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 31929 70% 0% 706
2 Mathematics 8827 41% 0% 412
3 Automation & Control Systems 3000 12% 0% 117
4 Mathematics, Interdisciplinary Applications 299 4% 0% 44
5 Engineering, General 219 4% 0% 41
6 Instruments & Instrumentation 86 4% 0% 38
7 Computer Science, Software Engineering 74 2% 0% 25
8 Engineering, Electrical & Electronic 64 7% 0% 75
9 Operations Research & Management Science 57 2% 0% 22
10 Computer Science, Interdisciplinary Applications 56 3% 0% 27

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 CONTROL THEORY GUIDANCE TECHNOL 227349 5% 15% 50
2 MATH ECONOMETR 133719 6% 7% 63
3 CONTROL SYST GUIDANCE TECHNOL 83381 1% 46% 6
4 GEOMATH SICHUAN PROV 61469 1% 29% 7
5 CHINA ECON MANAGEMENT 58041 2% 11% 18
6 GEOMATH SICHUAN 45165 0% 50% 3
7 ARMY EXCELLENCE INFORMAT SCI 30112 0% 100% 1
8 CIENCIA MATEMAT CSIC UAM UCM UC3M 30112 0% 100% 1
9 CONTROL THEROY GUIDANCE TECHNOL 30112 0% 100% 1
10 ENGN MATH EC33 30112 0% 100% 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 84030 18% 2% 179
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 32478 5% 2% 48
3 APPLIED MATHEMATICS AND COMPUTATION 24313 12% 1% 119
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 21296 2% 3% 22
5 LINEAR & MULTILINEAR ALGEBRA 19187 3% 2% 29
6 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 13055 2% 2% 21
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5762 4% 0% 43
8 TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 5714 1% 1% 14
9 JOURNAL OF APPLIED MATHEMATICS 5678 2% 1% 23
10 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 5267 1% 2% 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 MATRIX EQUATION 2640600 15% 58% 151 Search MATRIX+EQUATION Search MATRIX+EQUATION
2 LINEAR MATRIX EQUATION 776257 4% 66% 39 Search LINEAR+MATRIX+EQUATION Search LINEAR+MATRIX+EQUATION
3 LEAST SQUARES SOLUTION 665129 5% 47% 47 Search LEAST+SQUARES+SOLUTION Search LEAST+SQUARES+SOLUTION
4 MINIMAL RANK 656042 3% 68% 32 Search MINIMAL+RANK Search MINIMAL+RANK
5 GENERALIZED SYLVESTER MATRIX EQUATION 572132 2% 100% 19 Search GENERALIZED+SYLVESTER+MATRIX+EQUATION Search GENERALIZED+SYLVESTER+MATRIX+EQUATION
6 REFLEXIVE MATRIX 572132 2% 100% 19 Search REFLEXIVE+MATRIX Search REFLEXIVE+MATRIX
7 OPTIMAL APPROXIMATION 503260 4% 43% 39 Search OPTIMAL+APPROXIMATION Search OPTIMAL+APPROXIMATION
8 HERMITIAN SOLUTION 483467 2% 94% 17 Search HERMITIAN+SOLUTION Search HERMITIAN+SOLUTION
9 MAXIMAL RANK 468943 3% 54% 29 Search MAXIMAL+RANK Search MAXIMAL+RANK
10 SYLVESTER MATRIX EQUATION 457306 3% 56% 27 Search SYLVESTER+MATRIX+EQUATION Search SYLVESTER+MATRIX+EQUATION

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 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 50 89% 0
2 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 50 89% 2
3 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
4 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 44 92% 4
5 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 41 98% 3
6 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
7 DEHGHAN, M , HAJARIAN, M , (2010) THE GENERAL COUPLED MATRIX EQUATIONS OVER GENERALIZED BISYMMETRIC MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 6. P. 1531-1552 38 97% 60
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 42 79% 60
9 WANG, QW , LIU, X , YU, SW , (2011) THE COMMON BISYMMETRIC NONNEGATIVE DEFINITE SOLUTIONS WITH EXTREME RANKS AND INERTIAS TO A PAIR OF MATRIX EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 6. P. 2761-2771 40 98% 5
10 HAJARIAN, M , (2015) FINITE ALGORITHMS FOR SOLVING THE COUPLED SYLVESTER-CONJUGATE MATRIX EQUATIONS OVER REFLEXIVE AND HERMITIAN REFLEXIVE MATRICES.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE. VOL. 46. ISSUE 3. P. 488 -502 38 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 14267 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
2 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES
3 22726 PARTIALLY PRESCRIBED SPECTRAL INFORMATION//PARTIALLY PRESCRIBED SPECTRAL DATA//INVERSE QUADRATIC EIGENVALUE PROBLEM
4 30600 MATRIX BOUND//CONTINUOUS ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION CARE
5 9349 RECURSIVE IDENTIFICATION//HAMMERSTEIN SYSTEM//HAMMERSTEIN MODEL
6 12943 EIGENSTRUCTURE ASSIGNMENT//POLE PLACEMENT//POLE ASSIGNMENT
7 6078 DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE
8 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
9 11359 OCTONIONS//SLICE REGULAR FUNCTIONS//SPLIT QUATERNIONS
10 17364 LINEAR SUFFICIENCY//BALANCED LOSS FUNCTION//OLSE

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