Class information for:
Level 1: SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24535 308 18.0 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
24535 1                   SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION 308

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 SEMISEPARABLE MATRICES authKW 1431577 6% 76% 19
2 QUASISEPARABLE MATRICES authKW 1335780 5% 84% 16
3 QR ITERATION authKW 826166 3% 83% 10
4 RANK STRUCTURED MATRIX authKW 803035 3% 90% 9
5 UNITARY HESSENBERG MATRICES authKW 634495 3% 80% 8
6 QR ALGORITHM authKW 528719 6% 27% 20
7 RANK STRUCTURE authKW 485783 2% 70% 7
8 SEMISEPARABLE MATRIX authKW 485783 2% 70% 7
9 COMPLETE MULTIPLICATIVE JORDAN DECOMPOSITION authKW 396561 1% 100% 4
10 DIAGONAL PLUS SEMISEPARABLE MATRIX authKW 396561 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, Applied 11590 76% 0% 234
2 Mathematics 2630 40% 0% 124
3 Computer Science, Software Engineering 96 5% 0% 14
4 Computer Science, Theory & Methods 20 3% 0% 9
5 Computer Science, Interdisciplinary Applications 11 2% 0% 7
6 Computer Science, Hardware & Architecture 10 1% 0% 4
7 Computer Science, Information Systems 8 2% 0% 6
8 Telecommunications 4 2% 0% 5
9 Engineering, Electrical & Electronic 1 4% 0% 13
10 Computer Science, Artificial Intelligence 0 1% 0% 3

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 ENERGY SCI COMP SCI 99140 0% 100% 1
2 EQUIPE ACSIOUMR 5149 99140 0% 100% 1
3 GESELL ORG MANAGEMENTBERATUNG MBH 99140 0% 100% 1
4 HGEBIET THEORET METHODEN BAU VERKEHRSTECH 99140 0% 100% 1
5 IST PLICAZ CALCOLO M PICONE SEZ BARI 99140 0% 100% 1
6 MOBILE COMMUN NETWORK INC SERV DEV 99140 0% 100% 1
7 DIPARTIMENTO INFORMAT MATEMAT 33045 0% 33% 1
8 XLIM DMI 33043 1% 17% 2
9 ETSIT UPM 24784 0% 25% 1
10 NALAG 19826 0% 20% 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 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 60251 12% 2% 36
2 LINEAR ALGEBRA AND ITS APPLICATIONS 51255 25% 1% 77
3 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 39243 5% 3% 15
4 CALCOLO 15606 2% 2% 7
5 NUMERISCHE MATHEMATIK 8496 5% 1% 16
6 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 7902 3% 1% 9
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 5161 7% 0% 23
8 PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS 3417 0% 3% 1
9 NUMERICAL ALGORITHMS 2712 2% 0% 7
10 INTEGRAL EQUATIONS AND OPERATOR THEORY 2164 2% 0% 7

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 SEMISEPARABLE MATRICES 1431577 6% 76% 19 Search SEMISEPARABLE+MATRICES Search SEMISEPARABLE+MATRICES
2 QUASISEPARABLE MATRICES 1335780 5% 84% 16 Search QUASISEPARABLE+MATRICES Search QUASISEPARABLE+MATRICES
3 QR ITERATION 826166 3% 83% 10 Search QR+ITERATION Search QR+ITERATION
4 RANK STRUCTURED MATRIX 803035 3% 90% 9 Search RANK+STRUCTURED+MATRIX Search RANK+STRUCTURED+MATRIX
5 UNITARY HESSENBERG MATRICES 634495 3% 80% 8 Search UNITARY+HESSENBERG+MATRICES Search UNITARY+HESSENBERG+MATRICES
6 QR ALGORITHM 528719 6% 27% 20 Search QR+ALGORITHM Search QR+ALGORITHM
7 RANK STRUCTURE 485783 2% 70% 7 Search RANK+STRUCTURE Search RANK+STRUCTURE
8 SEMISEPARABLE MATRIX 485783 2% 70% 7 Search SEMISEPARABLE+MATRIX Search SEMISEPARABLE+MATRIX
9 COMPLETE MULTIPLICATIVE JORDAN DECOMPOSITION 396561 1% 100% 4 Search COMPLETE+MULTIPLICATIVE+JORDAN+DECOMPOSITION Search COMPLETE+MULTIPLICATIVE+JORDAN+DECOMPOSITION
10 DIAGONAL PLUS SEMISEPARABLE MATRIX 396561 1% 100% 4 Search DIAGONAL+PLUS+SEMISEPARABLE+MATRIX Search DIAGONAL+PLUS+SEMISEPARABLE+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 VANDEBRIL, R , VAN BAREL, M , MASTRONARDI, N , (2005) A NOTE ON THE REPRESENTATION AND DEFINITION OF SEMISEPARABLE MATRICES.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 12. ISSUE 8. P. 839-858 21 88% 32
2 AURENTZ, JL , MACH, T , VANDEBRIL, R , WATKINS, DS , (2015) FAST AND STABLE UNITARY QR ALGORITHM.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 44. ISSUE . P. 327 -341 17 77% 1
3 DELVAUX, S , VAN BAREL, M , (2008) EIGENVALUE COMPUTATION FOR UNITARY RANK STRUCTURED MATRICES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 213. ISSUE 1. P. 268-287 17 89% 8
4 VANDEBRIL, R , VAN BAREL, M , MASTRONARDI, N , (2008) A NEW ITERATION FOR COMPUTING THE EIGENVALUES OF SEMISEPARABLE (PLUS DIAGONAL) MATRICES.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 33. ISSUE . P. 126-150 17 89% 0
5 VANDEBRIL, R , VAN BAREL, M , MASTRONARDI, N , (2010) A MULTIPLE SHIFT QR-STEP FOR STRUCTURED RANK MATRICES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 233. ISSUE 5. P. 1326-1344 15 94% 3
6 DELVAUX, S , VAN BAREL, M , (2008) UNITARY RANK STRUCTURED MATRICES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 215. ISSUE 1. P. 49-78 17 85% 0
7 BINI, DA , EIDELMAN, Y , GEMIGNANI, L , GOHBERG, I , (2007) FAST QR EIGENVALUE ALGORITHMS FOR HESSENBERG MATRICES WHICH ARE RANK-ONE PERTURBATIONS OF UNITARY MATRICES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 29. ISSUE 2. P. 566 -585 14 100% 23
8 DEL CORSO, GM , BEVILACQUA, R , GEMIGNANI, L , (2015) A CMV-BASED EIGENSOLVER FOR COMPANION MATRICES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 36. ISSUE 3. P. 1046 -1068 19 63% 0
9 VANDEBRIL, R , VAN BAREL, M , MASTRONARDI, N , (2008) A PARALLEL QR-FACTORIZATION/SOLVER OF QUASISEPARABLE MATRICES.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 30. ISSUE . P. 144-167 15 94% 1
10 BEVILACQUA, R , DEL CORSO, GM , GEMIGNANI, L , (2015) COMPRESSION OF UNITARY RANK-STRUCTURED MATRICES TO CMV-LIKE SHAPE WITH AN APPLICATION TO POLYNOMIAL ROOTFINDING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 278. ISSUE . P. 326 -335 13 87% 1

Classes with closest relation at Level 1


Rank Class id link
1 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
2 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
3 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
4 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
5 17717 TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS
6 26482 IMMITTANCE ALGORITHMS//CRITICAL STABILITY CONSTRAINTS//DISCRETE TIME SYSTEM STABILITY
7 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
8 8552 FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//SPECIAL PURPOSE COMPUTER
9 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
10 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES

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