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

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
1067 2             SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//LINEAR ALGEBRA AND ITS APPLICATIONS//MATRIX EQUATION 10240
8914 1                   MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION 1235

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATRIX EQUATION authKW 2435125 13% 59% 162
2 LINEAR MATRIX EQUATION authKW 691841 3% 66% 41
3 LEAST SQUARES SOLUTION authKW 613363 4% 48% 50
4 SYLVESTER MATRIX EQUATION authKW 589956 3% 68% 34
5 GENERALIZED SYLVESTER MATRIX EQUATION authKW 535879 2% 100% 21
6 SYLVESTER EQUATION authKW 494475 4% 39% 50
7 MINIMAL RANK authKW 488622 2% 64% 30
8 REFLEXIVE MATRIX authKW 484843 2% 100% 19
9 MATRIX EQUATIONS authKW 414419 4% 35% 47
10 HERMITIAN SOLUTION authKW 409705 1% 94% 17

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 38396 69% 0% 855
2 Mathematics 7547 34% 0% 425
3 Automation & Control Systems 4255 13% 0% 155
4 Mathematics, Interdisciplinary Applications 484 5% 0% 61
5 Engineering, General 372 5% 0% 58
6 Computer Science, Software Engineering 137 3% 0% 36
7 Computer Science, Theory & Methods 122 3% 0% 42
8 Operations Research & Management Science 117 3% 0% 33
9 Instruments & Instrumentation 79 3% 0% 42
10 Engineering, Electrical & Electronic 76 7% 0% 91

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONTROL THEORY GUIDANCE TECHNOL 210108 4% 15% 54
2 MATH ECONOMETR 109442 5% 7% 64
3 CONTROL SYST GUIDANCE TECHNOL 70659 0% 46% 6
4 HPC2N 64310 1% 23% 11
5 CHINA ECON MANAGEMENT 41871 1% 10% 17
6 GEOMATH SICHUAN PROV 41669 1% 23% 7
7 PAINLEVE UMR ANO EDP 8524 38274 0% 50% 3
8 LMPA 36778 1% 10% 15
9 GEOMATH SICHUAN 32806 0% 43% 3
10 AI AIST 25518 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR ALGEBRA AND ITS APPLICATIONS 62050 14% 1% 169
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 46745 5% 3% 63
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 26605 3% 3% 33
4 APPLIED MATHEMATICS AND COMPUTATION 22010 10% 1% 124
5 LINEAR & MULTILINEAR ALGEBRA 17185 3% 2% 31
6 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 16853 2% 3% 22
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS 8997 5% 1% 59
8 COMPUTATIONAL & APPLIED MATHEMATICS 8340 1% 2% 15
9 NUMERICAL ALGORITHMS 5404 2% 1% 20
10 JOURNAL OF COMPUTATIONAL MATHEMATICS 5253 1% 1% 17

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MATRIX EQUATION 2435125 13% 59% 162 Search MATRIX+EQUATION Search MATRIX+EQUATION
2 LINEAR MATRIX EQUATION 691841 3% 66% 41 Search LINEAR+MATRIX+EQUATION Search LINEAR+MATRIX+EQUATION
3 LEAST SQUARES SOLUTION 613363 4% 48% 50 Search LEAST+SQUARES+SOLUTION Search LEAST+SQUARES+SOLUTION
4 SYLVESTER MATRIX EQUATION 589956 3% 68% 34 Search SYLVESTER+MATRIX+EQUATION Search SYLVESTER+MATRIX+EQUATION
5 GENERALIZED SYLVESTER MATRIX EQUATION 535879 2% 100% 21 Search GENERALIZED+SYLVESTER+MATRIX+EQUATION Search GENERALIZED+SYLVESTER+MATRIX+EQUATION
6 SYLVESTER EQUATION 494475 4% 39% 50 Search SYLVESTER+EQUATION Search SYLVESTER+EQUATION
7 MINIMAL RANK 488622 2% 64% 30 Search MINIMAL+RANK Search MINIMAL+RANK
8 REFLEXIVE MATRIX 484843 2% 100% 19 Search REFLEXIVE+MATRIX Search REFLEXIVE+MATRIX
9 MATRIX EQUATIONS 414419 4% 35% 47 Search MATRIX+EQUATIONS Search MATRIX+EQUATIONS
10 HERMITIAN SOLUTION 409705 1% 94% 17 Search HERMITIAN+SOLUTION Search HERMITIAN+SOLUTION

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 21235 MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT
2 11809 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
3 31196 MATRIX BOUND//CONTINUOUS COUPLED ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION
4 18912 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//JACOBI MATRIX
5 15538 EIGENSTRUCTURE ASSIGNMENT//POLE ASSIGNMENT//POLE PLACEMENT
6 5731 DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE
7 8002 RECURSIVE IDENTIFICATION//HAMMERSTEIN SYSTEM//HAMMERSTEIN MODEL
8 19975 SLICE REGULAR FUNCTIONS//SPLIT QUATERNIONS//DISENTANGLING
9 6159 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//QR ALGORITHM//QR FACTORIZATION
10 11991 SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING

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