Class information for:
Level 1: TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7998 1304 21.0 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
943 2             LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE 10922
7998 1                   TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE 1304

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 TOEPLITZ MATRIX authKW 1205398 12% 32% 159
2 TOEPLITZ MATRICES authKW 512067 6% 30% 72
3 DISPLACEMENT STRUCTURE authKW 386094 2% 57% 29
4 CIRCULANT MATRIX authKW 294138 4% 25% 51
5 DIPARTIMENTO CHIM FIS MATEMAT address 291776 1% 69% 18
6 PCG METHOD authKW 280969 1% 67% 18
7 LINEAR ALGEBRA AND ITS APPLICATIONS journal 241667 26% 3% 344
8 GENERALIZED SCHUR ALGORITHM authKW 208597 1% 64% 14
9 PRECONDITIONED CONJUGATE GRADIENT METHOD authKW 205009 3% 26% 34
10 TOEPLITZ authKW 176283 2% 30% 25

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 49199 76% 0% 992
2 Mathematics 13270 44% 0% 571
3 Computer Science, Theory & Methods 630 7% 0% 87
4 Computer Science, Software Engineering 387 4% 0% 58
5 Automation & Control Systems 56 2% 0% 23
6 Engineering, Electrical & Electronic 48 6% 0% 83
7 Statistics & Probability 18 1% 0% 19
8 Computer Science, Information Systems 16 2% 0% 20
9 Acoustics 16 1% 0% 13
10 Computer Science, Hardware & Architecture 12 1% 0% 11

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 DIPARTIMENTO CHIM FIS MATEMAT 291776 1% 69% 18
2 PHD PROGRAMS MATH COMP SCI 76626 0% 55% 6
3 SEDE COMO 51246 1% 24% 9
4 ISAMM 42145 0% 60% 3
5 SCI HIGH TECHNOL 36058 1% 10% 15
6 DIPARTIMENTO FIS MATEMAT 34387 1% 11% 13
7 ANAL NUMER OPTIMISAT UFR IEEA M3 23415 0% 100% 1
8 COMP ACIENCE 23415 0% 100% 1
9 DET ENERGET S STECCO 23415 0% 100% 1
10 DIPARTMENT COMP SCI 23415 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 241667 26% 3% 344
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 120998 8% 5% 105
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 42614 3% 4% 43
4 BIT NUMERICAL MATHEMATICS 21470 3% 2% 37
5 NUMERISCHE MATHEMATIK 10126 3% 1% 36
6 CALCOLO 9089 1% 4% 11
7 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 7937 1% 2% 17
8 SIAM JOURNAL ON SCIENTIFIC COMPUTING 7330 3% 1% 33
9 NUMERICAL ALGORITHMS 6316 2% 1% 22
10 INTEGRAL EQUATIONS AND OPERATOR THEORY 5507 2% 1% 23

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 TOEPLITZ MATRIX 1205398 12% 32% 159 Search TOEPLITZ+MATRIX Search TOEPLITZ+MATRIX
2 TOEPLITZ MATRICES 512067 6% 30% 72 Search TOEPLITZ+MATRICES Search TOEPLITZ+MATRICES
3 DISPLACEMENT STRUCTURE 386094 2% 57% 29 Search DISPLACEMENT+STRUCTURE Search DISPLACEMENT+STRUCTURE
4 CIRCULANT MATRIX 294138 4% 25% 51 Search CIRCULANT+MATRIX Search CIRCULANT+MATRIX
5 PCG METHOD 280969 1% 67% 18 Search PCG+METHOD Search PCG+METHOD
6 GENERALIZED SCHUR ALGORITHM 208597 1% 64% 14 Search GENERALIZED+SCHUR+ALGORITHM Search GENERALIZED+SCHUR+ALGORITHM
7 PRECONDITIONED CONJUGATE GRADIENT METHOD 205009 3% 26% 34 Search PRECONDITIONED+CONJUGATE+GRADIENT+METHOD Search PRECONDITIONED+CONJUGATE+GRADIENT+METHOD
8 TOEPLITZ 176283 2% 30% 25 Search TOEPLITZ Search TOEPLITZ
9 DISPLACEMENT RANK 172038 1% 57% 13 Search DISPLACEMENT+RANK Search DISPLACEMENT+RANK
10 SUPERFAST ALGORITHM 163905 1% 100% 7 Search SUPERFAST+ALGORITHM Search SUPERFAST+ALGORITHM

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 CHAN, RH , NG, MK , (1996) CONJUGATE GRADIENT METHODS FOR TOEPLITZ SYSTEMS.SIAM REVIEW. VOL. 38. ISSUE 3. P. 427 -482 74 82% 390
2 SERRA, S , (1999) HOW TO CHOOSE THE BEST ITERATIVE STRATEGY FOR SYMMETRIC TOEPLITZ SYSTEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 36. ISSUE 4. P. 1078 -1103 35 100% 13
3 SHI, YJ , PI, XB , (2014) NEW PRECONDITIONERS FOR SYSTEMS OF LINEAR EQUATIONS WITH TOEPLITZ STRUCTURE.CALCOLO. VOL. 51. ISSUE 1. P. 31-55 23 100% 0
4 VAN BAREL, M , HEINIG, G , KRAVANJA, P , (2001) A STABILIZED SUPERFAST SOLVER FOR NONSYMMETRIC TOEPLITZ SYSTEMS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 23. ISSUE 2. P. 494 -510 31 100% 29
5 KAILATH, T , SAYED, AH , (1995) DISPLACEMENT STRUCTURE - THEORY AND APPLICATIONS.SIAM REVIEW. VOL. 37. ISSUE 3. P. 297 -386 50 59% 221
6 SERRA, S , (1999) A KOROVKIN-TYPE THEORY FOR FINITE TOEPLITZ OPERATORS VIA MATRIX ALGEBRAS.NUMERISCHE MATHEMATIK. VOL. 82. ISSUE 1. P. 117 -142 35 90% 35
7 CAPIZZANO, SS , (2000) SOME THEOREMS ON LINEAR POSITIVE OPERATORS AND FUNCTIONALS AND THEIR APPLICATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 39. ISSUE 7-8. P. 139 -167 32 97% 4
8 HUCKLE, T , SERRA-CAPIZZANO, S , TABLINO-POSSIO, C , (2004) PRECONDITIONING STRATEGIES FOR HERMITIAN INDEFINITE TOEPLITZ LINEAR SYSTEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 25. ISSUE 5. P. 1633 -1654 29 94% 7
9 CHING, WK , NG, MK , WEN, YW , (2007) BLOCK DIAGONAL AND SCHUR COMPLEMENT PRECONDITIONERS FOR BLOCK-TOEPLITZ SYSTEMS WITH SMALL SIZE BLOCKS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 29. ISSUE 4. P. 1101 -1119 24 100% 4
10 KAILATH, T , OLSHEVSKY, V , (2005) DISPLACEMENT STRUCTURE APPROACH TO DISCRETE-TRIGONOMETRIC-TRANSFORM BASED PRECONDITIONERS OF G.STRANG TYPE AND OF T.CHAN TYPE.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 26. ISSUE 3. P. 706-734 27 93% 8

Classes with closest relation at Level 1


Rank Class id link
1 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
2 26482 IMMITTANCE ALGORITHMS//CRITICAL STABILITY CONSTRAINTS//DISCRETE TIME SYSTEM STABILITY
3 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
4 23174 PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX
5 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
6 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
7 22041 CONTROLLABILITY INDICES//MATEMAT LICADA EIO//BRUNOVSKY INDICES
8 17717 TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS
9 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
10 23509 TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION

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