Class information for:
Level 1: ABC MATH PROGRAM//SPECTRAL SUBSPACE//ISOSPECTRAL GRAPH REDUCTION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
28229 211 14.8 23%



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
2135 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5069
28229 1                   ABC MATH PROGRAM//SPECTRAL SUBSPACE//ISOSPECTRAL GRAPH REDUCTION 211

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 ABC MATH PROGRAM address 301489 2% 42% 5
2 SPECTRAL SUBSPACE authKW 301489 2% 42% 5
3 ISOSPECTRAL GRAPH REDUCTION authKW 289435 1% 100% 2
4 PIECEWISE UNIFORM CONVERGENCE authKW 289435 1% 100% 2
5 COLLECTIVELY COMPACT CONVERGENCE authKW 192955 1% 67% 2
6 MAXIMAL INVARIANT SUBSPACES authKW 192955 1% 67% 2
7 WEAKLY SINGULAR INTEGRAL OPERATOR authKW 186062 1% 43% 3
8 ABEL SOLUTION authKW 144718 0% 100% 1
9 ACCELERATED PROJECTION METHODS authKW 144718 0% 100% 1
10 ACCELERATED SCHEME authKW 144718 0% 100% 1

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 6560 69% 0% 146
2 Mathematics 1717 39% 0% 83
3 Multidisciplinary Sciences 120 4% 0% 9
4 Mechanics 31 5% 0% 11
5 Physics, Mathematical 26 4% 0% 8
6 Computer Science, Theory & Methods 13 3% 0% 6
7 Operations Research & Management Science 8 2% 0% 4
8 Statistics & Probability 6 2% 0% 4
9 Computer Science, Software Engineering 3 1% 0% 3
10 Telecommunications 2 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 ABC MATH PROGRAM 301489 2% 42% 5
2 AREA NEW INFORMAT TECHNOL 144718 0% 100% 1
3 CONTROL SOCIAL REALM MED 144718 0% 100% 1
4 INTITUT CAMILLE JORDAN 144718 0% 100% 1
5 MATEMAT LIC COES 144718 0% 100% 1
6 TIM3 144718 0% 100% 1
7 TMCB 308 144718 0% 100% 1
8 UNITE CNRS 5208 CAMILLE JORDAN 144718 0% 100% 1
9 MATH INFORMAT SCI MAT 115772 1% 40% 2
10 MATH PL MODELISAT 72356 1% 25% 2

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 FUNCTIONAL ANALYSIS AND OPTIMIZATION 37453 10% 1% 22
2 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 8432 3% 1% 6
3 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 7926 1% 3% 2
4 JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS 3616 0% 3% 1
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 3524 5% 0% 10
6 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 3212 1% 1% 2
7 USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 3092 2% 1% 4
8 APPLIED MATHEMATICS LETTERS 2731 5% 0% 10
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 1892 2% 0% 4
10 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 1515 1% 1% 2

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 SPECTRAL SUBSPACE 301489 2% 42% 5 Search SPECTRAL+SUBSPACE Search SPECTRAL+SUBSPACE
2 ISOSPECTRAL GRAPH REDUCTION 289435 1% 100% 2 Search ISOSPECTRAL+GRAPH+REDUCTION Search ISOSPECTRAL+GRAPH+REDUCTION
3 PIECEWISE UNIFORM CONVERGENCE 289435 1% 100% 2 Search PIECEWISE+UNIFORM+CONVERGENCE Search PIECEWISE+UNIFORM+CONVERGENCE
4 COLLECTIVELY COMPACT CONVERGENCE 192955 1% 67% 2 Search COLLECTIVELY+COMPACT+CONVERGENCE Search COLLECTIVELY+COMPACT+CONVERGENCE
5 MAXIMAL INVARIANT SUBSPACES 192955 1% 67% 2 Search MAXIMAL+INVARIANT+SUBSPACES Search MAXIMAL+INVARIANT+SUBSPACES
6 WEAKLY SINGULAR INTEGRAL OPERATOR 186062 1% 43% 3 Search WEAKLY+SINGULAR+INTEGRAL+OPERATOR Search WEAKLY+SINGULAR+INTEGRAL+OPERATOR
7 ABEL SOLUTION 144718 0% 100% 1 Search ABEL+SOLUTION Search ABEL+SOLUTION
8 ACCELERATED PROJECTION METHODS 144718 0% 100% 1 Search ACCELERATED+PROJECTION+METHODS Search ACCELERATED+PROJECTION+METHODS
9 ACCELERATED SCHEME 144718 0% 100% 1 Search ACCELERATED+SCHEME Search ACCELERATED+SCHEME
10 BLOCK RESOLVENT 144718 0% 100% 1 Search BLOCK+RESOLVENT Search BLOCK+RESOLVENT

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 ALAM, R , KULKARNI, RP , LIMAYE, BV , (2000) ACCELERATED SPECTRAL REFINEMENT - PART II: CLUSTER OF EIGENVALUES.ANZIAM JOURNAL. VOL. 42. ISSUE . P. 224-243 11 100% 0
2 ALAM, R , (2000) SPECTRAL REFINEMENTS OF NEWTON TYPE FOR EIGENELEMENTS OF BOUNDED LINEAR OPERATORS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 241. ISSUE 2. P. 214-237 8 100% 0
3 ALAM, R , KULKARNI, RP , LIMAYE, BV , (2000) ACCELERATED SPECTRAL REFINEMENT PART I: SIMPLE EIGENVALUE.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS. VOL. 41. ISSUE . P. 487-507 8 100% 0
4 LIMAYE, BV , (2013) UNIFORMLY CONDITIONED BASES OF SPECTRAL SUBSPACES.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 34. ISSUE 2. P. 180-206 6 86% 0
5 AHUES, M , LARGILLIER, A , TITAUD, O , (2001) THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 22. ISSUE 7-8. P. 789 -814 6 100% 6
6 ALAM, R , KULKARNI, RP , LIMAYE, BV , (1996) BOUNDEDNESS OF ADJOINT BASES OF APPROXIMATE SPECTRAL SUBSPACES AND OF ASSOCIATED BLOCK REDUCED RESOLVENTS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 17. ISSUE 5-6. P. 473-501 7 100% 1
7 KOROTKII, AI , MIKHAILOVA, DO , (2013) RECONSTRUCTION OF BOUNDARY CONTROLS IN PARABOLIC SYSTEMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 280. ISSUE . P. 98 -118 5 83% 0
8 LIMAYE, BV , (2012) MATRIX FORMULATION FOR INFINITE-RANK OPERATORS.OPERATORS AND MATRICES. VOL. 6. ISSUE 2. P. 357-370 4 100% 0
9 AHUES, M , LARGILLIER, A , (1995) A VARIANT OF THE FIXED TANGENT METHOD FOR SPECTRAL COMPUTATIONS ON INTEGRAL-OPERATORS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 16. ISSUE 1-2. P. 1-17 6 100% 1
10 LARDY, LJ , (1994) THE PROJECTION KANTOROVICH METHOD FOR EIGENVALUE PROBLEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 50. ISSUE 1-3. P. 375-384 8 73% 1

Classes with closest relation at Level 1



Rank Class id link
1 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
2 17049 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
3 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
4 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
5 28000 FIRM MODULES//MORITA LIKE EQUIVALENCE//INFINITE MATRIX RINGS
6 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
7 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
8 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
9 19373 RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT
10 30731 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE

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