Class information for:
Level 1: SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27052 239 13.6 42%


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
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 SIGN PATTERN authKW 2237136 17% 43% 41
2 POTENTIALLY NILPOTENT authKW 2044207 7% 100% 16
3 SPECTRALLY ARBITRARY authKW 2044207 7% 100% 16
4 REFINED INERTIA authKW 1533156 5% 100% 12
5 INERTIALLY ARBITRARY authKW 1149867 4% 100% 9
6 ZERO NONZERO PATTERN authKW 1022096 5% 67% 12
7 POTENTIALLY STABLE authKW 894341 3% 100% 7
8 SPECTRALLY ARBITRARY PATTERN authKW 894341 3% 100% 7
9 EVENTUALLY NONNEGATIVE MATRICES authKW 782546 3% 88% 7
10 NONZERO PATTERN authKW 657065 3% 86% 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 8317 79% 0% 190
2 Mathematics, Applied 4682 55% 0% 132
3 Computer Science, Cybernetics 222 3% 0% 7
4 Automation & Control Systems 169 6% 0% 14
5 Computer Science, Artificial Intelligence 7 2% 0% 5
6 Computer Science, Theory & Methods 3 2% 0% 4
7 Operations Research & Management Science 3 1% 0% 3
8 Multidisciplinary Sciences 3 1% 0% 2
9 Social Sciences, Mathematical Methods 1 0% 0% 1
10 Engineering, Aerospace 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 CONTROL SYST ENGN 43103 4% 4% 9
2 OFF TEACHING AFFAIRS 31939 0% 25% 1
3 TRANSMAG 28388 1% 11% 2
4 MATH SOCIAL SCI 14194 0% 11% 1
5 ANGEW ANAL 10870 1% 4% 2
6 OBE 9826 0% 8% 1
7 3036 8516 0% 7% 1
8 ANAL DYNAM MODELLIERUNG 6720 1% 3% 2
9 DPTO COMPUTAC 6386 0% 5% 1
10 DUPONT AGR NUTR 5805 0% 5% 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 113785 42% 1% 101
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 107701 10% 4% 24
3 LINEAR & MULTILINEAR ALGEBRA 19001 6% 1% 14
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 4841 4% 0% 9
5 CZECHOSLOVAK MATHEMATICAL JOURNAL 2781 3% 0% 7
6 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 2578 1% 1% 3
7 KYBERNETES 2210 3% 0% 6
8 OPERATORS AND MATRICES 1076 1% 0% 2
9 POSITIVITY 812 0% 1% 1
10 TRENDS IN MATHEMATICS 698 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 SIGN PATTERN 2237136 17% 43% 41 Search SIGN+PATTERN Search SIGN+PATTERN
2 POTENTIALLY NILPOTENT 2044207 7% 100% 16 Search POTENTIALLY+NILPOTENT Search POTENTIALLY+NILPOTENT
3 SPECTRALLY ARBITRARY 2044207 7% 100% 16 Search SPECTRALLY+ARBITRARY Search SPECTRALLY+ARBITRARY
4 REFINED INERTIA 1533156 5% 100% 12 Search REFINED+INERTIA Search REFINED+INERTIA
5 INERTIALLY ARBITRARY 1149867 4% 100% 9 Search INERTIALLY+ARBITRARY Search INERTIALLY+ARBITRARY
6 ZERO NONZERO PATTERN 1022096 5% 67% 12 Search ZERO+NONZERO+PATTERN Search ZERO+NONZERO+PATTERN
7 POTENTIALLY STABLE 894341 3% 100% 7 Search POTENTIALLY+STABLE Search POTENTIALLY+STABLE
8 SPECTRALLY ARBITRARY PATTERN 894341 3% 100% 7 Search SPECTRALLY+ARBITRARY+PATTERN Search SPECTRALLY+ARBITRARY+PATTERN
9 EVENTUALLY NONNEGATIVE MATRICES 782546 3% 88% 7 Search EVENTUALLY+NONNEGATIVE+MATRICES Search EVENTUALLY+NONNEGATIVE+MATRICES
10 NONZERO PATTERN 657065 3% 86% 6 Search NONZERO+PATTERN Search NONZERO+PATTERN

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 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 31 89% 13
2 CAVERS, MS , FALLAT, SM , (2012) ALLOW PROBLEMS CONCERNING SPECTRAL PROPERTIES OF PATTERNS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 23. ISSUE . P. 731-754 16 89% 5
3 KIM, IJ , SHADER, BL , MEULEN, KNV , WEST, M , (2017) SPECTRALLY ARBITRARY PATTERN EXTENSIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 517. ISSUE . P. 120 -128 13 100% 0
4 BERLINER, AH , OLESKY, DD , VAN DEN DRIESSCHE, P , (2017) SETS OF REFINED INERTIAS OF ZERO NONZERO PATTERNS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 516. ISSUE . P. 243 -263 13 100% 0
5 CAMPBELL, N , MEULEN, KN , VAN TUYL, A , (2011) STRUCTURE OF NILPOTENT MATRICES OVER FIELDS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 22. ISSUE . P. 931-958 14 100% 0
6 ARAV, M , HALL, F , LI, ZS , KAPHLE, K , MANZAGOL, N , (2010) SPECTRALLY ARBITRARY TREE SIGN PATTERNS OF ORDER 4.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 20. ISSUE . P. 180 -197 14 100% 2
7 KIM, IJ , OLESKY, DD , SHADER, BL , VAN DEN DRIESSCHE, P , VAN DER HOLST, H , VANDER MEULEN, KN , (2009) GENERATING POTENTIALLY NILPOTENT FULL SIGN PATTERNS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 18. ISSUE . P. 162 -175 14 100% 4
8 CORPUZ, L , MCDONALD, JJ , (2007) SPECTRALLY ARBITRARY ZERO-NONZERO PATTERNS OF ORDER 4.LINEAR & MULTILINEAR ALGEBRA. VOL. 55. ISSUE 3. P. 249-273 14 100% 22
9 MCDONALD, JJ , YIELDING, AA , (2012) COMPLEX SPECTRALLY ARBITRARY ZERO-NONZERO PATTERNS.LINEAR & MULTILINEAR ALGEBRA. VOL. 60. ISSUE 1. P. 11-26 12 100% 3
10 CAVERS, MS , (2010) ON REDUCIBLE MATRIX PATTERNS.LINEAR & MULTILINEAR ALGEBRA. VOL. 58. ISSUE 2. P. 257-267 12 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 23769 MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR
2 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
3 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
4 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
5 23245 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
6 35622 REPEAT SPACE THEORY RST//ASYMPTOTIC LINEARITY THEOREM ALT//ADDITIVITY PROBLEMS
7 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
8 21461 POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS
9 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
10 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION

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