Class information for:
Level 1: SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18298 557 18.2 34%


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
18298 1                   SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD 557

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 SINGULARLY PERTURBED MARKOV CHAIN authKW 438560 1% 100% 8
2 STOCHASTIC MATRIX authKW 415305 5% 26% 29
3 ITERATIVE AGGREGATION DISAGGREGATION METHOD authKW 383740 1% 100% 7
4 PERRON COMPLEMENT authKW 341565 2% 69% 9
5 GROUP INVERSES authKW 281929 1% 86% 6
6 STATIONARY PROBABILITY DISTRIBUTION VECTOR authKW 274100 1% 100% 5
7 STATIONARY VECTOR authKW 246687 1% 75% 6
8 NONNEGATIVE IRREDUCIBLE MATRIX authKW 219276 1% 67% 6
9 SWITCHING DIFFUSION authKW 189021 2% 34% 10
10 DEVIATION MATRIX authKW 179405 1% 55% 6

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, Applied 11233 56% 0% 312
2 Mathematics 3742 36% 0% 200
3 Statistics & Probability 1744 14% 0% 78
4 Operations Research & Management Science 1303 11% 0% 63
5 Automation & Control Systems 676 8% 0% 42
6 Computer Science, Information Systems 65 3% 0% 19
7 Computer Science, Software Engineering 59 3% 0% 16
8 Computer Science, Theory & Methods 48 3% 0% 18
9 Mathematics, Interdisciplinary Applications 45 3% 0% 14
10 Engineering, Industrial 43 2% 0% 10

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 LAMOS 161085 2% 24% 12
2 MODELING OPTIMIZAT SYST 124585 1% 45% 5
3 MODELIZAT OPTIMIZAT SYST 73092 0% 67% 2
4 COMP SCI DOCTORATE 54820 0% 100% 1
5 IRENAV ENGEP 54820 0% 100% 1
6 JOINT SYST BRANCH 54820 0% 100% 1
7 KATEDRA NUMER MATEMATIKY 54820 0% 100% 1
8 LAMOS MODELIZAT OPTIMIZAT SYST 54820 0% 100% 1
9 LAMOS MODELLING OPTIMIZAT SYST 54820 0% 100% 1
10 LOS ANGELES HARBOR W LA 54820 0% 100% 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 50661 18% 1% 103
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 35161 7% 2% 37
3 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 27689 3% 3% 15
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 6484 2% 1% 9
5 EKONOMICKO-MATEMATICKY OBZOR 6169 1% 3% 4
6 JOURNAL OF APPLIED PROBABILITY 4023 3% 0% 16
7 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 3806 1% 2% 4
8 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 2846 1% 2% 3
9 PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES 2832 1% 1% 6
10 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 2313 1% 1% 6

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 SINGULARLY PERTURBED MARKOV CHAIN 438560 1% 100% 8 Search SINGULARLY+PERTURBED+MARKOV+CHAIN Search SINGULARLY+PERTURBED+MARKOV+CHAIN
2 STOCHASTIC MATRIX 415305 5% 26% 29 Search STOCHASTIC+MATRIX Search STOCHASTIC+MATRIX
3 ITERATIVE AGGREGATION DISAGGREGATION METHOD 383740 1% 100% 7 Search ITERATIVE+AGGREGATION+DISAGGREGATION+METHOD Search ITERATIVE+AGGREGATION+DISAGGREGATION+METHOD
4 PERRON COMPLEMENT 341565 2% 69% 9 Search PERRON+COMPLEMENT Search PERRON+COMPLEMENT
5 GROUP INVERSES 281929 1% 86% 6 Search GROUP+INVERSES Search GROUP+INVERSES
6 STATIONARY PROBABILITY DISTRIBUTION VECTOR 274100 1% 100% 5 Search STATIONARY+PROBABILITY+DISTRIBUTION+VECTOR Search STATIONARY+PROBABILITY+DISTRIBUTION+VECTOR
7 STATIONARY VECTOR 246687 1% 75% 6 Search STATIONARY+VECTOR Search STATIONARY+VECTOR
8 NONNEGATIVE IRREDUCIBLE MATRIX 219276 1% 67% 6 Search NONNEGATIVE+IRREDUCIBLE+MATRIX Search NONNEGATIVE+IRREDUCIBLE+MATRIX
9 SWITCHING DIFFUSION 189021 2% 34% 10 Search SWITCHING+DIFFUSION Search SWITCHING+DIFFUSION
10 DEVIATION MATRIX 179405 1% 55% 6 Search DEVIATION+MATRIX Search DEVIATION+MATRIX

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 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
2 ABBAS, K , BERKHOUT, J , HEIDERGOTT, B , (2016) A CRITICAL ACCOUNT OF PERTURBATION ANALYSIS OF MARKOV CHAINS.MARKOV PROCESSES AND RELATED FIELDS. VOL. 22. ISSUE 2. P. 227 -265 27 75% 0
3 IPSEN, ICF , SELEE, TM , (2011) ERGODICITY COEFFICIENTS DEFINED BY VECTOR NORMS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 32. ISSUE 1. P. 153 -200 25 78% 20
4 MOUHOUBI, Z , AISSANI, D , (2010) NEW PERTURBATION BOUNDS FOR DENUMERABLE MARKOV CHAINS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 7. P. 1627 -1649 21 91% 3
5 THIEDE, E , VAN KOTEN, B , WEARE, J , (2015) SHARP ENTRYWISE PERTURBATION BOUNDS FOR MARKOV CHAINS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 36. ISSUE 3. P. 917 -941 12 100% 0
6 HUNTER, JJ , (2016) THE COMPUTATION OF KEY PROPERTIES OF MARKOV CHAINS VIA PERTURBATIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 511. ISSUE . P. 176 -202 13 87% 0
7 LIU, YY , (2012) PERTURBATION BOUNDS FOR THE STATIONARY DISTRIBUTIONS OF MARKOV CHAINS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 33. ISSUE 4. P. 1057 -1074 15 79% 4
8 KIRKLAND, SJ , NEUMANN, M , SZE, NS , (2008) ON OPTIMAL CONDITION NUMBERS FOR MARKOV CHAINS.NUMERISCHE MATHEMATIK. VOL. 110. ISSUE 4. P. 521-537 14 93% 6
9 HUNTER, JJ , (2014) GENERALIZED INVERSES OF MARKOVIAN KERNELS IN TERMS OF PROPERTIES OF THE MARKOV CHAIN.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 447. ISSUE . P. 38 -55 11 100% 3
10 NEUMANN, M , XU, JH , (2005) A PARALLEL ALGORITHM FOR COMPUTING THE GROUP INVERSE VIA PERRON COMPLEMENTATION.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 13. ISSUE . P. 131-145 16 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 10568 STOCHASTIC PETRI NETS//PERFORMABILITY//STOCHASTIC AUTOMATA NETWORKS
2 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
3 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
4 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
5 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
6 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
7 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
8 14541 PAGERANK//GOOGLE MATRIX//LINK ANALYSIS
9 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
10 14622 QUASI STATIONARY DISTRIBUTION//MARKOV BRANCHING PROCESS//DECAY PARAMETER

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