Class information for:
Level 1: JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22477 380 18.9 37%



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
22477 1                   JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM 380

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 JOINT SPECTRAL RADIUS authKW 3022857 19% 53% 71
2 GENERALIZED SPECTRAL RADIUS authKW 1341094 6% 76% 22
3 EXTREMAL NORM authKW 1129996 4% 94% 15
4 BARABANOV NORM authKW 723199 2% 100% 9
5 FINITENESS PROPERTY authKW 607681 3% 69% 11
6 FINITENESS CONJECTURE authKW 542395 2% 75% 9
7 JOINT GENERALIZED SPECTRAL RADIUS authKW 401777 1% 100% 5
8 TIME VARYING DISCRETE LINEAR SYSTEMS authKW 401777 1% 100% 5
9 CHARACTERISTIC EXPONENTS authKW 325430 2% 45% 9
10 LOWER SPECTRAL RADIUS authKW 321422 1% 100% 4

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 7491 60% 0% 229
2 Mathematics, Applied 4308 42% 0% 161
3 Automation & Control Systems 2148 16% 0% 60
4 Multidisciplinary Sciences 271 5% 0% 18
5 Instruments & Instrumentation 59 5% 0% 18
6 Ethnic Studies 30 1% 0% 2
7 Engineering, Electrical & Electronic 24 7% 0% 28
8 Operations Research & Management Science 20 2% 0% 8
9 Computer Science, Software Engineering 18 2% 0% 8
10 Computer Science, Theory & Methods 14 2% 0% 9

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 DAMASTOWN IND ESTATE 80355 0% 100% 1
2 DIPARTIMENTO INGN SCI INFORMAT MATEMAT 29217 1% 18% 2
3 INTERNEURAL COMP 26782 1% 17% 2
4 AUTOMAT CONTROL ELECT COMP SCI 23700 2% 5% 6
5 TUCS TURKU COMP SCI 16913 1% 11% 2
6 ICTEAM 16758 2% 2% 9
7 INFORMAT TRANSMISS PROBLEMS 11319 3% 1% 13
8 MECH MATH 11155 6% 1% 21
9 MATEMAT ESTADIST RAFAEL LAGUARDIA 6694 0% 8% 1
10 ZENTRUM TECHNOMATH 6338 1% 3% 3

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 DIFFERENTIAL EQUATIONS 144967 22% 2% 82
2 LINEAR ALGEBRA AND ITS APPLICATIONS 32361 18% 1% 68
3 AUTOMATION AND REMOTE CONTROL 6920 5% 0% 18
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 5409 3% 1% 12
5 DOKLADY AKADEMII NAUK BELARUSI 4712 3% 0% 13
6 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 2443 1% 1% 5
7 SBORNIK MATHEMATICS 1860 2% 0% 6
8 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 1700 1% 1% 3
9 JOURNAL OF MODERN DYNAMICS 1412 1% 1% 2
10 NONLINEAR ANALYSIS-HYBRID SYSTEMS 1307 1% 1% 3

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 JOINT SPECTRAL RADIUS 3022857 19% 53% 71 Search JOINT+SPECTRAL+RADIUS Search JOINT+SPECTRAL+RADIUS
2 GENERALIZED SPECTRAL RADIUS 1341094 6% 76% 22 Search GENERALIZED+SPECTRAL+RADIUS Search GENERALIZED+SPECTRAL+RADIUS
3 EXTREMAL NORM 1129996 4% 94% 15 Search EXTREMAL+NORM Search EXTREMAL+NORM
4 BARABANOV NORM 723199 2% 100% 9 Search BARABANOV+NORM Search BARABANOV+NORM
5 FINITENESS PROPERTY 607681 3% 69% 11 Search FINITENESS+PROPERTY Search FINITENESS+PROPERTY
6 FINITENESS CONJECTURE 542395 2% 75% 9 Search FINITENESS+CONJECTURE Search FINITENESS+CONJECTURE
7 JOINT GENERALIZED SPECTRAL RADIUS 401777 1% 100% 5 Search JOINT+GENERALIZED+SPECTRAL+RADIUS Search JOINT+GENERALIZED+SPECTRAL+RADIUS
8 TIME VARYING DISCRETE LINEAR SYSTEMS 401777 1% 100% 5 Search TIME+VARYING+DISCRETE+LINEAR+SYSTEMS Search TIME+VARYING+DISCRETE+LINEAR+SYSTEMS
9 CHARACTERISTIC EXPONENTS 325430 2% 45% 9 Search CHARACTERISTIC+EXPONENTS Search CHARACTERISTIC+EXPONENTS
10 LOWER SPECTRAL RADIUS 321422 1% 100% 4 Search LOWER+SPECTRAL+RADIUS Search LOWER+SPECTRAL+RADIUS

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 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
2 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
3 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
4 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
5 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
6 DAI, XP , HUANG, Y , XIAO, MQ , (2011) REALIZATION OF JOINT SPECTRAL RADIUS VIA ERGODIC THEORY.ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES. VOL. 18. ISSUE . P. 22-30 29 85% 1
7 BOCHI, J , MORRIS, ID , (2015) CONTINUITY PROPERTIES OF THE LOWER SPECTRAL RADIUS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 110. ISSUE . P. 477 -509 30 73% 1
8 CICONE, A , GUGLIELMI, N , SERRA-CAPIZZANO, S , ZENNARO, M , (2010) FINITENESS PROPERTY OF PAIRS OF 2 X 2 SIGN-MATRICES VIA REAL EXTREMAL POLYTOPE NORMS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 2-3. P. 796 -816 24 96% 18
9 DAI, XP , (2013) SOME CRITERIA FOR SPECTRAL FINITENESS OF A FINITE SUBSET OF THE REAL MATRIX SPACE R-DXD.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 6. P. 2717-2727 25 89% 1
10 CHANG, CT , BLONDEL, VD , (2013) AN EXPERIMENTAL STUDY OF APPROXIMATION ALGORITHMS FOR THE JOINT SPECTRAL RADIUS.NUMERICAL ALGORITHMS. VOL. 64. ISSUE 1. P. 181-202 23 92% 0

Classes with closest relation at Level 1



Rank Class id link
1 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
2 2348 SWITCHED SYSTEMS//AVERAGE DWELL TIME//SWITCHED LINEAR SYSTEMS
3 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
4 12440 EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY
5 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
6 21461 POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS
7 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
8 32107 AVOIDABLE SETS//RANDOM FIBONACCI SEQUENCE//RANDOM FIBONACCI SEQUENCES
9 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
10 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION

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