Class information for:
Level 1: NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE 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
11809 1                   NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION 981

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR MATRIX EQUATION authKW 2525928 9% 85% 93
2 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION authKW 1544501 5% 96% 50
3 POSITIVE DEFINITE SOLUTION authKW 1148996 4% 87% 41
4 MINIMAL NONNEGATIVE SOLUTION authKW 615972 2% 91% 21
5 QUADRATIC MATRIX EQUATION authKW 586930 3% 70% 26
6 ALGEBRAIC RICCATI EQUATION authKW 467132 6% 26% 55
7 HERMITIAN POSITIVE DEFINITE SOLUTION authKW 425190 2% 88% 15
8 MINIMAL POSITIVE SOLUTION authKW 386837 2% 71% 17
9 DOUBLING ALGORITHM authKW 346943 2% 60% 18
10 DISCRETE TIME ALGEBRAIC RICCATI EQUATION authKW 216844 1% 75% 9

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Automation & Control Systems 28903 36% 0% 352
2 Mathematics, Applied 17782 53% 0% 522
3 Mathematics 3942 28% 0% 277
4 Operations Research & Management Science 1245 8% 0% 83
5 Engineering, Electrical & Electronic 532 16% 0% 156
6 Computer Science, Theory & Methods 94 3% 0% 33
7 Computer Science, Cybernetics 76 1% 0% 9
8 Statistics & Probability 66 3% 0% 25
9 COMPUTER APPLICATIONS & CYBERNETICS 45 0% 0% 2
10 Mathematics, Interdisciplinary Applications 21 2% 0% 15

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AUTOMAT CONTROL COMP 53375 2% 10% 16
2 MATH MODELLING SCI COMP 48186 0% 50% 3
3 CMMSC 42833 0% 67% 2
4 NETWORK PLANNING DESIGN 42833 0% 67% 2
5 LADSEB 41779 1% 12% 11
6 CONTROL INFORMAT 33692 1% 13% 8
7 AUTOMAT COMP ENGN SIGNAL PROC 32126 0% 100% 1
8 CNPC EXPLORAT SOFTWARE CORP LTD 32126 0% 100% 1
9 COMP AUTOMAT OPERAT DECIS SYST 32126 0% 100% 1
10 ELECT ENGNTRNKA AUTOMAT CONTROL 32126 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LINEAR ALGEBRA AND ITS APPLICATIONS 60754 15% 1% 149
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 37068 5% 2% 50
3 SYSTEMS & CONTROL LETTERS 29873 6% 2% 62
4 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 21754 9% 1% 88
5 INTERNATIONAL JOURNAL OF CONTROL 14167 6% 1% 54
6 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 12325 4% 1% 38
7 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 9954 2% 2% 18
8 AVTOMATIKA 9246 1% 4% 7
9 APPLIED AND COMPUTATIONAL MATHEMATICS 9113 1% 3% 9
10 APPLIED MATHEMATICS AND COMPUTATION 3284 4% 0% 43

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NONLINEAR MATRIX EQUATION 2525928 9% 85% 93 Search NONLINEAR+MATRIX+EQUATION Search NONLINEAR+MATRIX+EQUATION
2 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION 1544501 5% 96% 50 Search NONSYMMETRIC+ALGEBRAIC+RICCATI+EQUATION Search NONSYMMETRIC+ALGEBRAIC+RICCATI+EQUATION
3 POSITIVE DEFINITE SOLUTION 1148996 4% 87% 41 Search POSITIVE+DEFINITE+SOLUTION Search POSITIVE+DEFINITE+SOLUTION
4 MINIMAL NONNEGATIVE SOLUTION 615972 2% 91% 21 Search MINIMAL+NONNEGATIVE+SOLUTION Search MINIMAL+NONNEGATIVE+SOLUTION
5 QUADRATIC MATRIX EQUATION 586930 3% 70% 26 Search QUADRATIC+MATRIX+EQUATION Search QUADRATIC+MATRIX+EQUATION
6 ALGEBRAIC RICCATI EQUATION 467132 6% 26% 55 Search ALGEBRAIC+RICCATI+EQUATION Search ALGEBRAIC+RICCATI+EQUATION
7 HERMITIAN POSITIVE DEFINITE SOLUTION 425190 2% 88% 15 Search HERMITIAN+POSITIVE+DEFINITE+SOLUTION Search HERMITIAN+POSITIVE+DEFINITE+SOLUTION
8 MINIMAL POSITIVE SOLUTION 386837 2% 71% 17 Search MINIMAL+POSITIVE+SOLUTION Search MINIMAL+POSITIVE+SOLUTION
9 DOUBLING ALGORITHM 346943 2% 60% 18 Search DOUBLING+ALGORITHM Search DOUBLING+ALGORITHM
10 DISCRETE TIME ALGEBRAIC RICCATI EQUATION 216844 1% 75% 9 Search DISCRETE+TIME+ALGEBRAIC+RICCATI+EQUATION Search DISCRETE+TIME+ALGEBRAIC+RICCATI+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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 21235 MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT
2 31196 MATRIX BOUND//CONTINUOUS COUPLED ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION
3 12658 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM
4 8914 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
5 30174 OPTIMIZAT SYST THEORY//RATIONAL COVARIANCE EXTENSION//COVARIANCE EXTENSION
6 24875 FLUID QUEUE//STOCHASTIC FLUID MODEL//MARKOV MODULATED BROWNIAN MOTION
7 4692 DESCRIPTOR SYSTEMS//SINGULAR SYSTEMS//AUTOMATION & CONTROL SYSTEMS
8 3010 PARAMETER DEPENDENT LYAPUNOV FUNCTION//LINEAR PARAMETER VARYING SYSTEMS//AUTOMATION & CONTROL SYSTEMS
9 6059 SIMULTANEOUS STABILIZATION//STRONG STABILIZATION//GAP METRIC
10 6159 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//QR ALGORITHM//QR FACTORIZATION

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