Class information for:
Level 1: MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT

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
21235 1                   MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT 450

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATRIX SIGN FUNCTION authKW 1212143 7% 58% 30
2 MATRIX PTH ROOT authKW 857942 3% 88% 14
3 MATRIX SQUARE ROOT authKW 597133 4% 47% 18
4 SPECTRAL DICHOTOMY authKW 560291 2% 100% 8
5 MATRIX LOGARITHM authKW 549611 4% 41% 19
6 WEIGHTED POLAR DECOMPOSITION authKW 490255 2% 100% 7
7 POLAR DECOMPOSITION authKW 460900 8% 18% 37
8 MATRIX ITERATION authKW 373522 2% 67% 8
9 INVERSE SCALING AND SQUARING METHOD authKW 350182 1% 100% 5
10 MATRIX SECTOR FUNCTION authKW 350182 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 10123 59% 0% 266
2 Automation & Control Systems 3770 19% 0% 87
3 Mathematics 1544 26% 0% 118
4 Engineering, Electrical & Electronic 223 15% 0% 69
5 Computer Science, Theory & Methods 219 7% 0% 30
6 Operations Research & Management Science 140 4% 0% 20
7 Instruments & Instrumentation 112 6% 0% 26
8 Computer Science, Software Engineering 40 3% 0% 12
9 COMPUTER APPLICATIONS & CYBERNETICS 25 0% 0% 1
10 Engineering, General 22 2% 0% 10

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 A S UFRAFA GRP 70036 0% 100% 1
2 AFA GRPA S UFR 70036 0% 100% 1
3 DPTO FIS MATEMAT CIENCIAS INGN 70036 0% 100% 1
4 DPTO GEOFIS LICADA 70036 0% 100% 1
5 ING CIENCIA COMPUTADO 70036 0% 100% 1
6 MATEMAT L TONELLI 70036 0% 100% 1
7 MPIDTS 70036 0% 100% 1
8 SISTEMAS INFORMAT COMPUTATAC 35017 0% 50% 1
9 INGN CIENCIA COMP 24651 1% 7% 5
10 ENGN DEANS OFF 17508 0% 25% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 74577 11% 2% 48
2 IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS 15188 3% 2% 12
3 LINEAR ALGEBRA AND ITS APPLICATIONS 12050 10% 0% 45
4 NUMERICAL ALGORITHMS 7293 3% 1% 14
5 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 6702 2% 1% 10
6 CALCOLO 5155 1% 1% 5
7 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 3437 1% 1% 6
8 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A 3292 0% 2% 2
9 CONTROL-THEORY AND ADVANCED TECHNOLOGY 3029 1% 1% 4
10 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2681 5% 0% 21

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MATRIX SIGN FUNCTION 1212143 7% 58% 30 Search MATRIX+SIGN+FUNCTION Search MATRIX+SIGN+FUNCTION
2 MATRIX PTH ROOT 857942 3% 88% 14 Search MATRIX+PTH+ROOT Search MATRIX+PTH+ROOT
3 MATRIX SQUARE ROOT 597133 4% 47% 18 Search MATRIX+SQUARE+ROOT Search MATRIX+SQUARE+ROOT
4 SPECTRAL DICHOTOMY 560291 2% 100% 8 Search SPECTRAL+DICHOTOMY Search SPECTRAL+DICHOTOMY
5 MATRIX LOGARITHM 549611 4% 41% 19 Search MATRIX+LOGARITHM Search MATRIX+LOGARITHM
6 WEIGHTED POLAR DECOMPOSITION 490255 2% 100% 7 Search WEIGHTED+POLAR+DECOMPOSITION Search WEIGHTED+POLAR+DECOMPOSITION
7 POLAR DECOMPOSITION 460900 8% 18% 37 Search POLAR+DECOMPOSITION Search POLAR+DECOMPOSITION
8 MATRIX ITERATION 373522 2% 67% 8 Search MATRIX+ITERATION Search MATRIX+ITERATION
9 INVERSE SCALING AND SQUARING METHOD 350182 1% 100% 5 Search INVERSE+SCALING+AND+SQUARING+METHOD Search INVERSE+SCALING+AND+SQUARING+METHOD
10 MATRIX SECTOR FUNCTION 350182 1% 100% 5 Search MATRIX+SECTOR+FUNCTION Search MATRIX+SECTOR+FUNCTION

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 18225 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
2 11809 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
3 6159 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//QR ALGORITHM//QR FACTORIZATION
4 8914 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
5 12658 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//PSEUDOSPECTRUM
6 8201 DIGITAL REDESIGN//SAMPLED DATA SYSTEMS//PERIODIC SYSTEMS
7 30661 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//MATRIX DIFFERENCE SCHEME
8 27964 INVERSE OPTIMAL CONTROL PROBLEM//PERFORMANCE MODIFICATION//OPTIMAL POLE PLACEMENT
9 27603 MATRIX PENCIL THEORY//MATRIX DIFFERENCE EQUATIONS//FIBONACCI QUARTERLY
10 36634 DISCRETE TIME REPRESENTATION//NEW KEYNESIAN MACROECONOMETRICS//CONTINUOUS TIME ECONOMETRICS

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