Class information for:
Level 1: COXETER FUNCTOR//BELITSKIIS ALGORITHM//INDECOMPOSABLE SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26152 262 12.5 29%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
74 3       AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//AUTOMATICA 82579
3429 2             QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS 1561
26152 1                   COXETER FUNCTOR//BELITSKIIS ALGORITHM//INDECOMPOSABLE SYSTEM 262

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 COXETER FUNCTOR authKW 466188 2% 100% 4
2 BELITSKIIS ALGORITHM authKW 349641 1% 100% 3
3 INDECOMPOSABLE SYSTEM authKW 349641 1% 100% 3
4 COMMON INVARIANT SUBSPACES authKW 310789 2% 67% 4
5 STRONGLY IRREDUCIBLE OPERATOR authKW 279705 2% 40% 6
6 CANONICAL MATRICES authKW 266390 2% 57% 4
7 COMMUTING MATRIX FUNCTIONS authKW 233094 1% 100% 2
8 EXTENDED DYNKIN GRAPHS authKW 233094 1% 100% 2
9 GENERATORS OF ALGEBRAS authKW 233094 1% 100% 2
10 LENGTH OF AN ALGEBRA authKW 233094 1% 100% 2

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 11164 88% 0% 230
2 Mathematics, Applied 5833 59% 0% 154
3 Automation & Control Systems 32 3% 0% 7
4 Physics, Mathematical 8 2% 0% 6
5 Operations Research & Management Science 6 2% 0% 4
6 Computer Science, Theory & Methods 5 2% 0% 5
7 Computer Science, Software Engineering 2 1% 0% 3
8 Statistics & Probability 0 1% 0% 2
9 Computer Science, Information Systems 0 1% 0% 2
10 Mathematical & Computational Biology 0 0% 0% 1

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 MATEMAT ITUT 116547 0% 100% 1
2 GAATI 80682 1% 23% 3
3 ECONOM WETEN PEN 58272 0% 50% 1
4 YA S PIDSTRIGACH PL PROBLEMS MECH MATH 58272 0% 50% 1
5 MATEMAT VETENSK ER 38848 0% 33% 1
6 BUSINESS ADM INFORMAT SCI 30845 1% 9% 3
7 ESTRUTURAS LINEA COMBINATORIAS 24388 1% 7% 3
8 COMPUTAT MATH CYBERNET 21176 5% 1% 13
9 GLOBAL ANAL 7768 0% 7% 1
10 MAI 6854 0% 6% 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 103779 39% 1% 101
2 UKRAINIAN MATHEMATICAL JOURNAL 14442 4% 1% 11
3 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 4301 3% 0% 8
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 2722 2% 1% 4
5 INTEGRAL EQUATIONS AND OPERATOR THEORY 2546 3% 0% 7
6 DOKLADY MATHEMATICS 2427 3% 0% 8
7 MATHEMATICAL NOTES 2326 4% 0% 10
8 LINEAR & MULTILINEAR ALGEBRA 1409 2% 0% 4
9 PROGRAMMING AND COMPUTER SOFTWARE 1270 1% 0% 3
10 OPEN SYSTEMS & INFORMATION DYNAMICS 1085 1% 0% 2

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 COXETER FUNCTOR 466188 2% 100% 4 Search COXETER+FUNCTOR Search COXETER+FUNCTOR
2 BELITSKIIS ALGORITHM 349641 1% 100% 3 Search BELITSKIIS+ALGORITHM Search BELITSKIIS+ALGORITHM
3 INDECOMPOSABLE SYSTEM 349641 1% 100% 3 Search INDECOMPOSABLE+SYSTEM Search INDECOMPOSABLE+SYSTEM
4 COMMON INVARIANT SUBSPACES 310789 2% 67% 4 Search COMMON+INVARIANT+SUBSPACES Search COMMON+INVARIANT+SUBSPACES
5 STRONGLY IRREDUCIBLE OPERATOR 279705 2% 40% 6 Search STRONGLY+IRREDUCIBLE+OPERATOR Search STRONGLY+IRREDUCIBLE+OPERATOR
6 CANONICAL MATRICES 266390 2% 57% 4 Search CANONICAL+MATRICES Search CANONICAL+MATRICES
7 COMMUTING MATRIX FUNCTIONS 233094 1% 100% 2 Search COMMUTING+MATRIX+FUNCTIONS Search COMMUTING+MATRIX+FUNCTIONS
8 EXTENDED DYNKIN GRAPHS 233094 1% 100% 2 Search EXTENDED+DYNKIN+GRAPHS Search EXTENDED+DYNKIN+GRAPHS
9 GENERATORS OF ALGEBRAS 233094 1% 100% 2 Search GENERATORS+OF+ALGEBRAS Search GENERATORS+OF+ALGEBRAS
10 LENGTH OF AN ALGEBRA 233094 1% 100% 2 Search LENGTH+OF+AN+ALGEBRA Search LENGTH+OF+AN+ALGEBRA

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 LAFFEY, T , MARKOVA, O , SMIGOC, H , (2016) THE EFFECT OF ASSUMING THE IDENTITY AS A GENERATOR ON THE LENGTH OF THE MATRIX ALGEBRA.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 498. ISSUE . P. 378 -393 8 89% 0
2 GUTERMAN, AE , MARKOVA, OV , MEHRMANN, V , (2016) LENGTHS OF QUASI-COMMUTATIVE PAIRS OF MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 498. ISSUE . P. 450 -470 7 100% 0
3 SONG, Y , (2012) MAXIMALITY PRESERVING CONSTRUCTIONS OF MAXIMAL COMMUTATIVE SUBALGEBRAS OF MATRIX ALGEBRA.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 49. ISSUE 2. P. 295-306 7 100% 0
4 BOURGEOIS, G , (2013) COMMON INVARIANT SUBSPACE AND COMMUTING MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 7. P. 3030-3038 6 100% 0
5 LONGSTAFF, WE , ROSENTHAL, P , (2011) ON THE LENGTHS OF IRREDUCIBLE PAIRS OF COMPLEX MATRICES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 139. ISSUE 11. P. 3769 -3777 6 100% 4
6 JAMIOLKOWSKI, A , PASTUSZAK, G , (2015) GENERALIZED SHEMESH CRITERION, COMMON INVARIANT SUBSPACES AND IRREDUCIBLE COMPLETELY POSITIVE SUPEROPERATORS.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 2. P. 314 -325 5 100% 1
7 MARKOVA, OV , (2013) ON THE RELATIONSHIP BETWEEN THE LENGTH OF AN ALGEBRA AND THE INDEX OF NILPOTENCY OF ITS JACOBSON RADICAL.MATHEMATICAL NOTES. VOL. 94. ISSUE 5-6. P. 636 -641 5 100% 0
8 FUTORNY, V , HORN, RA , SERGEICHUK, VV , (2011) A CANONICAL FORM FOR NONDEROGATORY MATRICES UNDER UNITARY SIMILARITY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 4. P. 830 -841 6 86% 3
9 BART, H , KROON, L , ZUIDWIJK, R , (1998) QUASICOMPLETE FACTORIZATION AND THE TWO MACHINE FLOW SHOP PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 278. ISSUE 1-3. P. 195-219 7 100% 0
10 SAMOILENKO, Y , YUSENKO, K , (2012) KLEINER'S THEOREM FOR UNITARY REPRESENTATIONS OF POSETS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 2. P. 581 -588 5 83% 2

Classes with closest relation at Level 1


Rank Class id link
1 22041 CONTROLLABILITY INDICES//MATEMAT LICADA EIO//BRUNOVSKY INDICES
2 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
3 17842 NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL
4 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD
5 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
6 23472 FINITE HORIZON LQ PROBLEM//DISCRETE TIME ALGEBRAIC RICCATI EQUATION//UNMIXED SOLUTIONS
7 21354 WORD MAPS//VERBAL WIDTH//VERBAL SUBGROUP
8 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
9 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
10 1220 CLUSTER ALGEBRA//CLUSTER CATEGORY//AUSLANDER REITEN QUIVER

Go to start page