Class information for:
Level 2: LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2286 4579 15.8 38%


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
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
10319 1                   MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY 1074
18253 1                   NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX 559
18298 1                   SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD 557
21051 1                   H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE 435
21461 1                   POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS 418
22477 1                   JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM 380
23769 1                   MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR 335
23771 1                   NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP 335
26727 1                   SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX 247
27052 1                   SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY 239

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 LINEAR ALGEBRA AND ITS APPLICATIONS journal 941117 28% 11% 1272
2 MAX ALGEBRA authKW 421495 1% 94% 67
3 SIGN PATTERN authKW 350032 2% 74% 71
4 MAX PLUS ALGEBRA authKW 343151 2% 54% 96
5 JOINT SPECTRAL RADIUS authKW 294910 2% 57% 77
6 TROPICAL GEOMETRY authKW 216657 1% 51% 64
7 NONNEGATIVE MATRIX authKW 201567 2% 43% 70
8 PRIMITIVE DIGRAPH authKW 200206 1% 97% 31
9 NONNEGATIVE MATRICES authKW 188141 1% 42% 67
10 GENERALIZED SPECTRAL RADIUS authKW 180228 1% 97% 28

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 87889 59% 1% 2724
2 Mathematics, Applied 86029 54% 1% 2478
3 Automation & Control Systems 8563 9% 0% 424
4 Operations Research & Management Science 1768 5% 0% 224
5 Statistics & Probability 1104 4% 0% 197
6 Computer Science, Theory & Methods 975 5% 0% 214
7 Computer Science, Cybernetics 628 1% 0% 54
8 Computer Science, Information Systems 205 2% 0% 108
9 Engineering, General 156 2% 0% 89
10 Computer Science, Software Engineering 86 2% 0% 69

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 MATH THEORET INFORMAT 77056 0% 68% 17
2 MATEMAT BEPPO LEVI 73844 0% 92% 12
3 MATH 26622 29% 0% 1324
4 PL MATH IUMA 23807 0% 71% 5
5 MATEMAT MULTIDISCIPLINAR 21111 1% 9% 36
6 LAMOS 19574 0% 24% 12
7 CMM DIM 15235 0% 57% 4
8 MODELING OPTIMIZAT SYST 15146 0% 45% 5
9 HOTEL FOOD ADM 14999 0% 75% 3
10 EUIT INFORMAT GIJON 13333 0% 100% 2

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 941117 28% 11% 1272
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 117922 2% 16% 110
3 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 55116 3% 6% 133
4 LINEAR & MULTILINEAR ALGEBRA 50474 2% 8% 100
5 BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES 31013 1% 8% 61
6 DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS 23763 1% 10% 37
7 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 21564 1% 9% 38
8 DIFFERENTIAL EQUATIONS 12174 2% 2% 83
9 INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE 9804 1% 5% 32
10 ARCHIVES OF CONTROL SCIENCES 7558 0% 11% 10

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 MAX ALGEBRA 421495 1% 94% 67 Search MAX+ALGEBRA Search MAX+ALGEBRA
2 SIGN PATTERN 350032 2% 74% 71 Search SIGN+PATTERN Search SIGN+PATTERN
3 MAX PLUS ALGEBRA 343151 2% 54% 96 Search MAX+PLUS+ALGEBRA Search MAX+PLUS+ALGEBRA
4 JOINT SPECTRAL RADIUS 294910 2% 57% 77 Search JOINT+SPECTRAL+RADIUS Search JOINT+SPECTRAL+RADIUS
5 TROPICAL GEOMETRY 216657 1% 51% 64 Search TROPICAL+GEOMETRY Search TROPICAL+GEOMETRY
6 NONNEGATIVE MATRIX 201567 2% 43% 70 Search NONNEGATIVE+MATRIX Search NONNEGATIVE+MATRIX
7 PRIMITIVE DIGRAPH 200206 1% 97% 31 Search PRIMITIVE+DIGRAPH Search PRIMITIVE+DIGRAPH
8 NONNEGATIVE MATRICES 188141 1% 42% 67 Search NONNEGATIVE+MATRICES Search NONNEGATIVE+MATRICES
9 GENERALIZED SPECTRAL RADIUS 180228 1% 97% 28 Search GENERALIZED+SPECTRAL+RADIUS Search GENERALIZED+SPECTRAL+RADIUS
10 NEVILLE ELIMINATION 180228 1% 97% 28 Search NEVILLE+ELIMINATION Search NEVILLE+ELIMINATION

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 JOHNSON, CR , SMITH, RL , (2011) INVERSE M-MATRICES, II.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 5. P. 953-983 48 94% 5
2 BENVENUTI, L , FARINA, L , (2004) TUTORIAL ON THE POSITIVE REALIZATION PROBLEM.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 49. ISSUE 5. P. 651 -664 56 80% 147
3 YOU, LH , SHEN, J , (2013) A SURVEY ON BASES OF SIGN PATTERN MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 2. P. 346-357 36 100% 1
4 CATRAL, M , OLESKY, DD , VAN DEN DRIESSCHE, P , (2009) ALLOW PROBLEMS CONCERNING SPECTRAL PROPERTIES OF SIGN PATTERN MATRICES: A SURVEY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 430. ISSUE 11-12. P. 3080 -3094 35 100% 13
5 GUGLIELMI, N , ZENNARO, M , (2014) STABILITY OF LINEAR PROBLEMS: JOINT SPECTRAL RADIUS OF SETS OF MATRICES.CURRENT CHALLENGES IN STABILITY ISSUES FOR NUMERICAL DIFFERENTIAL EQUATIONS, CETRARO, ITALY 2011. VOL. 2082. ISSUE . P. 265 -313 35 85% 1
6 DAI, XP , HUANG, Y , LIU, J , XIAO, MQ , (2012) THE FINITE-STEP REALIZABILITY OF THE JOINT SPECTRAL RADIUS OF A PAIR OF D X D MATRICES ONE OF WHICH BEING RANK-ONE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 7. P. 1548 -1561 33 94% 2
7 BABIARZ, A , CZORNIK, A , NIEZABITOWSKI, M , (2015) ON THE NUMBER OF UPPER BOHL EXPONENTS FOR DIAGONAL DISCRETE TIME-VARYING LINEAR SYSTEM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 429. ISSUE 1. P. 337 -353 31 91% 1
8 LIU, J , XIAO, MQ , (2013) RANK-ONE CHARACTERIZATION OF JOINT SPECTRAL RADIUS OF FINITE MATRIX FAMILY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 8. P. 3258-3277 31 86% 1
9 GUGLIELMI, N , PROTASOV, V , (2013) EXACT COMPUTATION OF JOINT SPECTRAL CHARACTERISTICS OF LINEAR OPERATORS.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 13. ISSUE 1. P. 37 -97 29 81% 19
10 HUNTER, JJ , (2005) STATIONARY DISTRIBUTIONS AND MEAN FIRST PASSAGE TIMES OF PERTURBED MARKOV CHAINS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 410. ISSUE . P. 217 -243 30 97% 25

Classes with closest relation at Level 2


Rank Class id link
1 4017 APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS
2 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
3 2446 LAPLACIAN MATRIX//ADJACENCY MATRIX//SPECTRAL RADIUS
4 2575 DISCRETE EVENT SYSTEMS//PETRI NETS//SUPERVISORY CONTROL
5 939 DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
6 3429 QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS
7 3182 SECRETARY PROBLEM//OPTIMAL STATIONARY POLICY//BEST CHOICE PROBLEM
8 832 QUEUEING SYSTEMS//QUEUEING//PERFORMANCE EVALUATION
9 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
10 28 AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL

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