Class information for:
Level 1: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
8262 1273 19.3 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
8262 1                   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING 1273

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 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS journal 579847 18% 11% 227
2 NUMERICAL RANK authKW 301372 1% 74% 17
3 RANK REVEALING authKW 289535 1% 93% 13
4 JACOBI METHOD authKW 265774 2% 43% 26
5 RANK REVEALING DECOMPOSITIONS authKW 265681 1% 92% 12
6 RELATIVE PERTURBATION THEORY authKW 263838 1% 100% 11
7 RIGOROUS PERTURBATION BOUND authKW 191882 1% 100% 8
8 DOWNDATING authKW 180799 1% 54% 14
9 COLUMN PIVOTING authKW 176616 1% 82% 9
10 QR FACTORIZATION authKW 169782 3% 20% 35

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 52433 79% 0% 1011
2 Mathematics 4313 26% 0% 331
3 Computer Science, Software Engineering 1978 10% 0% 121
4 Computer Science, Theory & Methods 965 8% 0% 104
5 Computer Science, Hardware & Architecture 73 2% 0% 21
6 Computer Science, Information Systems 9 1% 0% 17
7 Engineering, Electrical & Electronic 8 4% 0% 56
8 COMPUTER APPLICATIONS & CYBERNETICS 7 0% 0% 1
9 Computer Science, Interdisciplinary Applications 6 1% 0% 16
10 Statistics & Probability 3 1% 0% 12

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 LEHRGEBIET MATH PHYS 149901 1% 63% 10
2 GROUND PROC 31979 0% 67% 2
3 CIENCIAS MATEMAT UC3M 23985 0% 100% 1
4 CNRS ENSL INRIA UCBL 23985 0% 100% 1
5 COMP SCI SSCM 23985 0% 100% 1
6 COMPUTAT SOFTWARE 23985 0% 100% 1
7 CONTEMPORARY PL MATH 23985 0% 100% 1
8 DISTRIBUTED MULTIMED SYST 23985 0% 100% 1
9 DTS MPI MS MO 23985 0% 100% 1
10 GRP ADV SCI COMP 23985 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 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 579847 18% 11% 227
2 BIT NUMERICAL MATHEMATICS 81121 6% 5% 71
3 LINEAR ALGEBRA AND ITS APPLICATIONS 81024 15% 2% 197
4 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 57124 4% 5% 45
5 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 47814 4% 4% 45
6 NUMERISCHE MATHEMATIK 25165 4% 2% 56
7 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 12897 2% 2% 25
8 SIAM JOURNAL ON SCIENTIFIC COMPUTING 11051 3% 1% 40
9 CALCOLO 7693 1% 3% 10
10 PARALLEL COMPUTING 7116 2% 1% 27

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 NUMERICAL RANK 301372 1% 74% 17 Search NUMERICAL+RANK Search NUMERICAL+RANK
2 RANK REVEALING 289535 1% 93% 13 Search RANK+REVEALING Search RANK+REVEALING
3 JACOBI METHOD 265774 2% 43% 26 Search JACOBI+METHOD Search JACOBI+METHOD
4 RANK REVEALING DECOMPOSITIONS 265681 1% 92% 12 Search RANK+REVEALING+DECOMPOSITIONS Search RANK+REVEALING+DECOMPOSITIONS
5 RELATIVE PERTURBATION THEORY 263838 1% 100% 11 Search RELATIVE+PERTURBATION+THEORY Search RELATIVE+PERTURBATION+THEORY
6 RIGOROUS PERTURBATION BOUND 191882 1% 100% 8 Search RIGOROUS+PERTURBATION+BOUND Search RIGOROUS+PERTURBATION+BOUND
7 DOWNDATING 180799 1% 54% 14 Search DOWNDATING Search DOWNDATING
8 COLUMN PIVOTING 176616 1% 82% 9 Search COLUMN+PIVOTING Search COLUMN+PIVOTING
9 QR FACTORIZATION 169782 3% 20% 35 Search QR+FACTORIZATION Search QR+FACTORIZATION
10 MRRR ALGORITHM 167897 1% 100% 7 Search MRRR+ALGORITHM Search MRRR+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 HARI, V , (2015) CONVERGENCE TO DIAGONAL FORM OF BLOCK JACOBI-TYPE METHODS.NUMERISCHE MATHEMATIK. VOL. 129. ISSUE 3. P. 449 -481 36 100% 1
2 HARI, V , SINGER, S , SINGER, S , (2014) FULL BLOCK J-JACOBI METHOD FOR HERMITIAN MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 444. ISSUE . P. 1 -27 27 96% 1
3 DOPICO, FM , KOEV, P , MOLERA, JM , (2009) IMPLICIT STANDARD JACOBI GIVES HIGH RELATIVE ACCURACY.NUMERISCHE MATHEMATIK. VOL. 113. ISSUE 4. P. 519 -553 28 93% 5
4 NOVAKOVIC, V , (2015) A HIERARCHICALLY BLOCKED JACOBI SVD ALGORITHM FOR SINGLE AND MULTIPLE GRAPHICS PROCESSING UNITS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 37. ISSUE 1. P. C1 -C30 25 89% 0
5 WILLEMS, PR , LANG, B , (2013) A FRAMEWORK FOR THE MR3 ALGORITHM: THEORY AND IMPLEMENTATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 35. ISSUE 2. P. A740-A766 23 96% 3
6 PETSCHOW, M , QUINTANA-ORTI, ES , BIENTINESI, P , (2014) IMPROVED ACCURACY AND PARALLELISM FOR MRRR-BASED EIGENSOLVERS-A MIXED PRECISION APPROACH.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 2. P. C240-C263 23 88% 0
7 SINGER, S , SINGER, S , NOVAKOVIC, V , DAVIDOVIC, D , BOKULIC, K , USCUMLIC, A , (2012) THREE-LEVEL PARALLEL J-JACOBI ALGORITHMS FOR HERMITIAN MATRICES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 9. P. 5704 -5725 21 100% 1
8 DAILEY, M , DOPICO, FM , YE, Q , (2014) A NEW PERTURBATION BOUND FOR THE LDU FACTORIZATION OF DIAGONALLY DOMINANT MATRICES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 35. ISSUE 3. P. 904 -930 24 80% 3
9 DIAO, HA , WEI, YM , QIAO, SZ , (2016) STRUCTURED CONDITION NUMBERS OF STRUCTURED TIKHONOV REGULARIZATION PROBLEM AND THEIR ESTIMATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 308. ISSUE . P. 276 -300 26 72% 0
10 DRMAC, Z , VESELIC, K , (2007) NEW FAST AND ACCURATE JACOBI SVD ALGORITHM. I.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 29. ISSUE 4. P. 1322 -1342 21 100% 29

Classes with closest relation at Level 1



Rank Class id link
1 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
2 11466 DENSE LINEAR ALGEBRA//LEVEL 3 BLAS//BLAS
3 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
4 14267 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
5 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS
6 13041 MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION
7 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
8 18232 LATENT SEMANTIC INDEXING//SEMIDISCRETE DECOMPOSITION//LATENT SEMANTIC ANALYSIS
9 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
10 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE

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