Class information for:
Level 1: GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4176 1833 24.3 46%


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
4176 1                   GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS 1833

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 GMRES authKW 829746 7% 39% 129
2 MULTIPLE RIGHT HAND SIDES authKW 672221 3% 78% 52
3 NONSYMMETRIC LINEAR SYSTEMS authKW 657041 3% 84% 47
4 JACOBI DAVIDSON authKW 567033 2% 85% 40
5 KRYLOV SUBSPACE authKW 469985 5% 31% 90
6 KRYLOV SUBSPACE METHODS authKW 452695 5% 28% 96
7 RITZ VALUES authKW 445164 2% 64% 42
8 DEFLATION authKW 365928 4% 28% 79
9 IMPLICIT RESTARTING authKW 277988 1% 76% 22
10 HARMONIC RITZ VALUES authKW 273320 1% 86% 19

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 60407 71% 0% 1305
2 Mathematics 2044 16% 0% 287
3 Computer Science, Interdisciplinary Applications 1830 9% 0% 166
4 Computer Science, Software Engineering 1733 8% 0% 138
5 Computer Science, Theory & Methods 1123 7% 0% 136
6 Mathematics, Interdisciplinary Applications 643 5% 0% 86
7 Engineering, General 603 5% 0% 89
8 Physics, Mathematical 592 6% 0% 104
9 Computer Science, Hardware & Architecture 141 2% 0% 34
10 Mechanics 107 4% 0% 68

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 ANAL NUMER OPTIMISAT 54496 1% 27% 12
2 INPT IRIT 49965 0% 50% 6
3 ETH ZENTRUM HG 33314 0% 100% 2
4 UFR IIEA M3 33314 0% 100% 2
5 HARROW COMP SCI 24779 0% 19% 8
6 TECH MATH COMP SCI 20495 0% 31% 4
7 ALPINES INRIA TEAM 16657 0% 100% 1
8 ANAL NUMER OPT 16657 0% 100% 1
9 ANAL NUMER OPTISMISAT 16657 0% 100% 1
10 ARCHITECTURE TEAM NEXT GENERAT HOST FABR INTER 16657 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 136011 7% 6% 132
2 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 121336 5% 8% 86
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 95773 8% 4% 141
4 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 59301 2% 8% 45
5 NUMERICAL ALGORITHMS 44370 4% 4% 69
6 BIT NUMERICAL MATHEMATICS 34997 3% 4% 56
7 APPLIED NUMERICAL MATHEMATICS 24593 4% 2% 66
8 LINEAR ALGEBRA AND ITS APPLICATIONS 22155 7% 1% 124
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 18024 6% 1% 105
10 NUMERISCHE MATHEMATIK 14458 3% 2% 51

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 GMRES 829746 7% 39% 129 Search GMRES Search GMRES
2 MULTIPLE RIGHT HAND SIDES 672221 3% 78% 52 Search MULTIPLE+RIGHT+HAND+SIDES Search MULTIPLE+RIGHT+HAND+SIDES
3 NONSYMMETRIC LINEAR SYSTEMS 657041 3% 84% 47 Search NONSYMMETRIC+LINEAR+SYSTEMS Search NONSYMMETRIC+LINEAR+SYSTEMS
4 JACOBI DAVIDSON 567033 2% 85% 40 Search JACOBI+DAVIDSON Search JACOBI+DAVIDSON
5 KRYLOV SUBSPACE 469985 5% 31% 90 Search KRYLOV+SUBSPACE Search KRYLOV+SUBSPACE
6 KRYLOV SUBSPACE METHODS 452695 5% 28% 96 Search KRYLOV+SUBSPACE+METHODS Search KRYLOV+SUBSPACE+METHODS
7 RITZ VALUES 445164 2% 64% 42 Search RITZ+VALUES Search RITZ+VALUES
8 DEFLATION 365928 4% 28% 79 Search DEFLATION Search DEFLATION
9 IMPLICIT RESTARTING 277988 1% 76% 22 Search IMPLICIT+RESTARTING Search IMPLICIT+RESTARTING
10 HARMONIC RITZ VALUES 273320 1% 86% 19 Search HARMONIC+RITZ+VALUES Search HARMONIC+RITZ+VALUES

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 SIMONCINI, V , SZYLD, DB , (2007) RECENT COMPUTATIONAL DEVELOPMENTS IN KRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 14. ISSUE 1. P. 1 -59 166 72% 127
2 GAUL, A , GUTKNECHT, MH , LIESEN, J , NABBEN, R , (2013) A FRAMEWORK FOR DEFLATED AND AUGMENTED KRYLOV SUBSPACE METHODS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 34. ISSUE 2. P. 495-518 43 91% 17
3 SOODHALTER, KM , (2016) BLOCK KRYLOV SUBSPACE RECYCLING FOR SHIFTED SYSTEMS WITH UNRELATED RIGHT-HAND SIDES.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 1. P. A302 -A324 43 88% 0
4 ABDEL-REHIM, AM , MORGAN, RB , NICELY, DA , WILCOX, W , (2010) DEFLATED AND RESTARTED SYMMETRIC LANCZOS METHODS FOR EIGENVALUES AND LINEAR EQUATIONS WITH MULTIPLE RIGHT-HAND SIDES.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 1. P. 129 -149 44 94% 11
5 GUTKNECHT, MH , (2014) DEFLATED AND AUGMENTED KRYLOV SUBSPACE METHODS: A FRAMEWORK FOR DEFLATED BICG AND RELATED SOLVERS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 35. ISSUE 4. P. 1444 -1466 38 90% 6
6 AISHIMA, K , (2017) ON CONVERGENCE OF ITERATIVE PROJECTION METHODS FOR SYMMETRIC EIGENVALUE PROBLEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 311. ISSUE . P. 513 -521 35 90% 0
7 AGULLO, E , GIRAUD, L , JING, YF , (2014) BLOCK GMRES METHOD WITH INEXACT BREAKDOWNS AND DEFLATED RESTARTING.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 35. ISSUE 4. P. 1625 -1651 35 95% 1
8 SIFUENTES, JA , EMBREE, M , MORGAN, RB , (2013) GMRES CONVERGENCE FOR PERTURBED COEFFICIENT MATRICES, WITH APPLICATION TO APPROXIMATE DEFLATION PRECONDITIONING.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 34. ISSUE 3. P. 1066 -1088 37 90% 3
9 MEURANT, G , TEBBENS, JD , (2015) THE ROLE EIGENVALUES PLAY IN FORMING GMRES RESIDUAL NORMS WITH NON-NORMAL MATRICES.NUMERICAL ALGORITHMS. VOL. 68. ISSUE 1. P. 143 -165 33 89% 3
10 ZHANG, JH , ZHAO, J , (2013) A NOVEL CLASS OF BLOCK METHODS BASED ON THE BLOCK AA T-LANCZOS BI-ORTHOGONALIZATION PROCESS FOR MATRIX EQUATIONS.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 90. ISSUE 2. P. 341-359 33 97% 0

Classes with closest relation at Level 1


Rank Class id link
1 10839 INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE
2 11510 SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING
3 16120 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
4 35642 IMPLICIT LINEAR OPERATORS//MATRIX DIAGONAL EXTRACTION//TRACE ESTIMATION
5 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
6 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
7 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
8 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
9 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
10 24489 VIBRATIONAL ISOTOPE EFFECT//INTERACTION OF QUANTUM SYSTEMS//SUBSPACE ITERATION METHOD

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