Class information for:
Level 1: INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10839 1032 23.3 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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
10839 1                   INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE 1032

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 INCOMPLETE FACTORIZATION authKW 917780 5% 57% 54
2 SPARSE LINEAR SYSTEMS authKW 778209 5% 48% 55
3 SPARSE APPROXIMATE INVERSE authKW 753540 4% 62% 41
4 INCOMPLETE LU FACTORIZATION authKW 748228 3% 82% 31
5 APPROXIMATE INVERSE authKW 562115 4% 50% 38
6 ILU authKW 342351 2% 64% 18
7 PARALLEL PRECONDITIONING authKW 289427 1% 65% 15
8 PRECONDITIONING authKW 269437 17% 5% 179
9 APPROXIMATE INVERSE MATRIX TECHNIQUES authKW 207109 1% 100% 7
10 MULTILEVEL ILU PRECONDITIONER authKW 207109 1% 100% 7

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 19212 54% 0% 556
2 Engineering, General 3111 14% 0% 140
3 Mathematics, Interdisciplinary Applications 2874 12% 0% 127
4 Computer Science, Theory & Methods 2089 13% 0% 133
5 Computer Science, Interdisciplinary Applications 1825 12% 0% 122
6 Computer Science, Software Engineering 1243 8% 0% 87
7 Mechanics 592 9% 0% 95
8 Mathematics 493 11% 0% 112
9 Computer Science, Hardware & Architecture 422 4% 0% 40
10 Engineering, Geological 242 2% 0% 20

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 SERV MILIEUX CONTINUS 82182 0% 56% 5
2 HIGH PERFORMANCE SCI COMP COMP SIMULAT 81915 1% 23% 12
3 MATH METHODS MODELS SCI PLICAT 66648 1% 17% 13
4 SCI COMP GRP CIC19 66569 0% 75% 3
5 SUPERCOMP MASSIVELY PARALLEL PLICAT 59170 0% 50% 4
6 SERV METROL NUCL 34337 1% 10% 12
7 ALPINES TEAM 29587 0% 100% 1
8 ASC ALLIANCES FLASH 29587 0% 100% 1
9 CIMAT UNIDAD MERIDA 29587 0% 100% 1
10 COMP COMMON TECHNOL 29587 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 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 72851 5% 5% 50
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 58952 8% 2% 83
3 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 20027 2% 3% 24
4 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 15719 4% 1% 46
5 BIT 15437 1% 4% 14
6 PARALLEL COMPUTING 11597 3% 1% 31
7 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 10073 3% 1% 27
8 APPLIED NUMERICAL MATHEMATICS 7848 3% 1% 28
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 7539 5% 1% 51
10 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 5728 4% 0% 40

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 INCOMPLETE FACTORIZATION 917780 5% 57% 54 Search INCOMPLETE+FACTORIZATION Search INCOMPLETE+FACTORIZATION
2 SPARSE LINEAR SYSTEMS 778209 5% 48% 55 Search SPARSE+LINEAR+SYSTEMS Search SPARSE+LINEAR+SYSTEMS
3 SPARSE APPROXIMATE INVERSE 753540 4% 62% 41 Search SPARSE+APPROXIMATE+INVERSE Search SPARSE+APPROXIMATE+INVERSE
4 INCOMPLETE LU FACTORIZATION 748228 3% 82% 31 Search INCOMPLETE+LU+FACTORIZATION Search INCOMPLETE+LU+FACTORIZATION
5 APPROXIMATE INVERSE 562115 4% 50% 38 Search APPROXIMATE+INVERSE Search APPROXIMATE+INVERSE
6 ILU 342351 2% 64% 18 Search ILU Search ILU
7 PARALLEL PRECONDITIONING 289427 1% 65% 15 Search PARALLEL+PRECONDITIONING Search PARALLEL+PRECONDITIONING
8 PRECONDITIONING 269437 17% 5% 179 Search PRECONDITIONING Search PRECONDITIONING
9 APPROXIMATE INVERSE MATRIX TECHNIQUES 207109 1% 100% 7 Search APPROXIMATE+INVERSE+MATRIX+TECHNIQUES Search APPROXIMATE+INVERSE+MATRIX+TECHNIQUES
10 MULTILEVEL ILU PRECONDITIONER 207109 1% 100% 7 Search MULTILEVEL+ILU+PRECONDITIONER Search MULTILEVEL+ILU+PRECONDITIONER

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 BENZI, M , (2002) PRECONDITIONING TECHNIQUES FOR LARGE LINEAR SYSTEMS: A SURVEY.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 182. ISSUE 2. P. 418 -477 101 56% 376
2 JIA, ZX , ZHANG, Q , (2013) ROBUST DROPPING CRITERIA FOR F-NORM MINIMIZATION BASED SPARSE APPROXIMATE INVERSE PRECONDITIONING.BIT NUMERICAL MATHEMATICS. VOL. 53. ISSUE 4. P. 959-985 29 94% 0
3 SCOTT, J , TUMA, M , (2014) ON POSITIVE SEMIDEFINITE MODIFICATION SCHEMES FOR INCOMPLETE CHOLESKY FACTORIZATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 2. P. A609 -A633 28 78% 2
4 JANNA, C , FERRONATO, M , SARTORETTO, F , GAMBOLATI, G , (2015) FSAIPACK: A SOFTWARE PACKAGE FOR HIGH-PERFORMANCE FACTORED SPARSE APPROXIMATE INVERSE PRECONDITIONING.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 41. ISSUE 2. P. - 21 95% 3
5 MADE, MMM , POLMAN, B , (2000) EXPERIMENTAL COMPARISON OF THREE-DIMENSIONAL POINT AND LINE MODIFIED INCOMPLETE FACTORIZATIONS.NUMERICAL ALGORITHMS. VOL. 23. ISSUE 1. P. 51-70 33 92% 2
6 GRAVVANIS, GA , (2009) HIGH PERFORMANCE INVERSE PRECONDITIONING.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 16. ISSUE 1. P. 77-108 28 80% 13
7 JANNA, C , FERRONATO, M , GAMBOLATI, G , (2010) A BLOCK FSAI-ILU PARALLEL PRECONDITIONER FOR SYMMETRIC POSITIVE DEFINITE LINEAR SYSTEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 5. P. 2468 -2484 21 95% 21
8 BU, YM , CARPENTIERI, B , SHEN, ZL , HUANG, TZ , (2016) A HYBRID RECURSIVE MULTILEVEL INCOMPLETE FACTORIZATION PRECONDITIONER FOR SOLVING GENERAL LINEAR SYSTEMS.APPLIED NUMERICAL MATHEMATICS. VOL. 104. ISSUE . P. 141 -157 25 74% 0
9 BRU, R , MARIN, J , MAS, J , TUMA, M , (2014) PRECONDITIONED ITERATIVE METHODS FOR SOLVING LINEAR LEAST SQUARES PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 4. P. A2002 -A2022 28 64% 2
10 BRU, R , MARIN, J , MAS, J , TUMA, M , (2008) BALANCED INCOMPLETE FACTORIZATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 30. ISSUE 5. P. 2302 -2318 26 76% 17

Classes with closest relation at Level 1


Rank Class id link
1 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS
2 13041 MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION
3 18531 GENERAL BEM//EXPLICIT FINITE ELEMENT DYNAMICS//GENERAL NON LINEAR DIFFERENTIAL OPERATOR
4 2241 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID
5 11510 SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING
6 17717 TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS
7 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
8 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
9 32152 DIFFERENTIAL OF MECHANICAL PROPERTIES//DIVIDE AND CONGUER ALGORITHM//INDUCTION AND RADIATION HEATING
10 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE

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