Class information for:
Level 1: SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
37021 68 8.8 40%


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
943 2             LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE 10922
37021 1                   SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY 68

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 SKEW CIRCULANT authKW 4082310 15% 91% 10
2 HANKEL CIRCULANT authKW 1436972 6% 80% 4
3 BACKWARD IDENTITY authKW 1347163 4% 100% 3
4 BACKWARD IDENTITY MATRIX authKW 1347163 4% 100% 3
5 DISTANCE TO NORMALITY authKW 1347163 4% 100% 3
6 KAZAKHSTAN address 1247369 7% 56% 5
7 NORMAL HANKEL PROBLEM authKW 898109 3% 100% 2
8 PHI CIRCULANT authKW 898109 3% 100% 2
9 SEPARABLE CIRCULANT authKW 898109 3% 100% 2
10 T PLUS H MATRIX authKW 898109 3% 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, Applied 2297 72% 0% 49
2 Mathematics 1086 54% 0% 37
3 Physics, Mathematical 533 25% 0% 17
4 Computer Science, Software Engineering 20 4% 0% 3
5 Engineering, Electrical & Electronic -1 1% 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 KAZAKHSTAN 1247369 7% 56% 5
2 UFR MAGE 449054 1% 100% 1
3 NUMER MATH 188132 32% 2% 22
4 COMPUTAT MATH CYBERNET 94714 21% 2% 14
5 DIPARTIMENTO MATEMAT GUIDO CASTELNUOVO 62469 6% 3% 4
6 PROBABILITES STAT 28064 1% 6% 1
7 KAZAKHSTAN BRANCH 22451 1% 5% 1
8 COMPUTAT MATH 7331 6% 0% 4
9 ANDREEV ACOUST 2840 1% 1% 1
10 NUMER ANAL 2021 1% 0% 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 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 70728 25% 1% 17
2 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 33255 6% 2% 4
3 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 13477 12% 0% 8
4 MATHEMATICAL NOTES 9019 15% 0% 10
5 LINEAR ALGEBRA AND ITS APPLICATIONS 5631 18% 0% 12
6 DOKLADY MATHEMATICS 3667 7% 0% 5
7 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1767 3% 0% 2
8 BIT NUMERICAL MATHEMATICS 1203 3% 0% 2
9 BIT 1195 1% 0% 1
10 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 789 1% 0% 1

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 SKEW CIRCULANT 4082310 15% 91% 10 Search SKEW+CIRCULANT Search SKEW+CIRCULANT
2 HANKEL CIRCULANT 1436972 6% 80% 4 Search HANKEL+CIRCULANT Search HANKEL+CIRCULANT
3 BACKWARD IDENTITY 1347163 4% 100% 3 Search BACKWARD+IDENTITY Search BACKWARD+IDENTITY
4 BACKWARD IDENTITY MATRIX 1347163 4% 100% 3 Search BACKWARD+IDENTITY+MATRIX Search BACKWARD+IDENTITY+MATRIX
5 DISTANCE TO NORMALITY 1347163 4% 100% 3 Search DISTANCE+TO+NORMALITY Search DISTANCE+TO+NORMALITY
6 NORMAL HANKEL PROBLEM 898109 3% 100% 2 Search NORMAL+HANKEL+PROBLEM Search NORMAL+HANKEL+PROBLEM
7 PHI CIRCULANT 898109 3% 100% 2 Search PHI+CIRCULANT Search PHI+CIRCULANT
8 SEPARABLE CIRCULANT 898109 3% 100% 2 Search SEPARABLE+CIRCULANT Search SEPARABLE+CIRCULANT
9 T PLUS H MATRIX 898109 3% 100% 2 Search T+PLUS+H+MATRIX Search T+PLUS+H+MATRIX
10 CIRCULANT 679176 16% 14% 11 Search CIRCULANT Search CIRCULANT

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 CHUGUNOV, VN , IKRAMOV, KD , (2010) A COMPLETE SOLUTION OF THE NORMAL HANKEL PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 12. P. 3210-3230 9 100% 1
2 CHUGUNOV, VN , IKRAMOV, KD , (2015) CLASSIFYING PAIRS OF COMMUTING TOEPLITZ AND HANKEL MATRICES.DOKLADY MATHEMATICS. VOL. 92. ISSUE 2. P. 577 -580 7 100% 0
3 GU, C , PATTON, L , (2003) COMMUTATION RELATIONS FOR TOEPLITZ AND HANKEL MATRICES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 24. ISSUE 3. P. 728-746 9 90% 6
4 CHUGUNOV, VN , IKRAMOV, KD , (2009) A CONTRIBUTION TO THE NORMAL HANKEL PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 430. ISSUE 8-9. P. 2094-2101 6 100% 0
5 CHUGUNOV, VN , IKRAMOV, KD , (2009) THE CONJUGATE-NORMAL TOEPLITZ PROBLEM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 430. ISSUE 8-9. P. 2467-2473 6 100% 0
6 ABDIKALYKOV, AK , IKRAMOV, KD , CHUGUNOV, VN , (2016) A DUALITY RELATION FOR UNITARY AUTOMORPHISMS IN THE SPACES OF TOEPLITZ AND HANKEL MATRICES.MATHEMATICAL NOTES. VOL. 99. ISSUE 1-2. P. 3 -8 5 100% 0
7 IKRAMOV, KD , CHUGUNOV, VN , (2008) ON NORMAL HANKEL MATRICES OF LOW ORDERS.MATHEMATICAL NOTES. VOL. 84. ISSUE 1-2. P. 197-206 6 100% 1
8 CHUGUNOV, VN , (2010) ON PARTICULAR SOLUTIONS OF THE NORMAL (T PLUS H)-PROBLEM.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 50. ISSUE 4. P. 583-588 5 100% 0
9 NOSCHESE, S , REICHEL, L , (2009) THE STRUCTURED DISTANCE TO NORMALITY OF BANDED TOEPLITZ MATRICES.BIT NUMERICAL MATHEMATICS. VOL. 49. ISSUE 3. P. 629 -640 9 45% 0
10 NOSCHESE, S , REICHEL, L , (2011) THE STRUCTURED DISTANCE TO NORMALITY OF TOEPLITZ MATRICES WITH APPLICATION TO PRECONDITIONING.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 18. ISSUE 3. P. 429 -447 7 50% 0

Classes with closest relation at Level 1


Rank Class id link
1 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
2 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
3 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
4 24833 SINGULAR SPECTRUM ANALYSIS//WINDOW LENGTH//LINEAR RECURRENT FORMULA
5 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
6 11027 MATRIX EQUATION//LINEAR MATRIX EQUATION//LEAST SQUARES SOLUTION
7 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS
8 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
9 19524 INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS
10 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES

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