Class information for:
Level 2: LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//DRAZIN INVERSE

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
1067 9498 19.6 42%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
308 35956 LINEAR ALGEBRA AND ITS APPLICATIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Classes in level below (level 1)



ID, lev. below Publications Label for level below
6292 1438 DRAZIN INVERSE//GROUP INVERSE//MOORE PENROSE INVERSE
6667 1384 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//RELATIVE PERTURBATION THEORY//COLUMN PIVOTING
7325 1302 MATRIX EQUATIONS//REFLEXIVE MATRIX//LINEAR MATRIX EQUATION
9194 1110 POLYNOMIAL EIGENVALUE PROBLEM//MATRIX POLYNOMIAL//QUADRATIC EIGENVALUE PROBLEM
9929 1042 DISPLACEMENT STRUCTURE//IMMITTANCE ALGORITHMS//GENERALIZED SCHUR ALGORITHM
13679 757 JACOBI DAVIDSON//IMPLICITLY RESTARTED ARNOLDI//REFINED RITZ VECTOR
15440 642 DIPARTIMENTO CHIM FIS MATEMAT//TOEPLITZ MATRIX//PCG METHOD
16520 584 QUASISEPARABLE MATRICES//HIERARCHICAL MATRICES//SEMISEPARABLE MATRICES
20420 399 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//NONLINEAR MATRIX EQUATION//POSITIVE DEFINITE SOLUTION
20527 395 NONNEGATIVE INVERSE EIGENVALUE PROBLEM//INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES
24047 272 TODA FLOW//ISOSPECTRAL FLOW//COMPLETE MULTIPLICATIVE JORDAN DECOMPOSITION
28175 173 MATRIX BOUND//CONTINUOUS ALGEBRAIC RICCATI EQUATION//MATRIX BOUNDS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 LINEAR ALGEBRA AND ITS APPLICATIONS Journal 331 17% 19% 1807
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS Journal 330 36% 8% 732
3 DRAZIN INVERSE Author keyword 309 80% 2% 192
4 MOORE PENROSE INVERSE Author keyword 304 65% 3% 292
5 GROUP INVERSE Author keyword 189 75% 1% 137
6 MATRIX EQUATIONS Author keyword 163 50% 3% 238
7 REVERSE ORDER LAW Author keyword 152 93% 1% 56
8 NONLINEAR MATRIX EQUATION Author keyword 102 75% 1% 74
9 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION Author keyword 98 100% 0% 29
10 GENERALIZED INVERSE Author keyword 96 44% 2% 164

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 DRAZIN INVERSE 309 80% 2% 192 Search DRAZIN+INVERSE Search DRAZIN+INVERSE
2 MOORE PENROSE INVERSE 304 65% 3% 292 Search MOORE+PENROSE+INVERSE Search MOORE+PENROSE+INVERSE
3 GROUP INVERSE 189 75% 1% 137 Search GROUP+INVERSE Search GROUP+INVERSE
4 MATRIX EQUATIONS 163 50% 3% 238 Search MATRIX+EQUATIONS Search MATRIX+EQUATIONS
5 REVERSE ORDER LAW 152 93% 1% 56 Search REVERSE+ORDER+LAW Search REVERSE+ORDER+LAW
6 NONLINEAR MATRIX EQUATION 102 75% 1% 74 Search NONLINEAR+MATRIX+EQUATION Search NONLINEAR+MATRIX+EQUATION
7 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION 98 100% 0% 29 Search NONSYMMETRIC+ALGEBRAIC+RICCATI+EQUATION Search NONSYMMETRIC+ALGEBRAIC+RICCATI+EQUATION
8 GENERALIZED INVERSE 96 44% 2% 164 Search GENERALIZED+INVERSE Search GENERALIZED+INVERSE
9 EP MATRIX 86 96% 0% 26 Search EP+MATRIX Search EP+MATRIX
10 JACOBI DAVIDSON 84 87% 0% 41 Search JACOBI+DAVIDSON Search JACOBI+DAVIDSON

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 MOORE PENROSE INVERSE 198 90% 1% 87
2 DRAZIN INVERSE 169 86% 1% 86
3 GENERALIZED INVERSES 165 65% 2% 155
4 LEAST SQUARES SOLUTIONS 139 81% 1% 83
5 AT S2 135 97% 0% 37
6 CENTROSYMMETRIC MATRICES 126 85% 1% 67
7 LINEARIZATIONS 100 85% 1% 52
8 EIGENPROBLEM 98 69% 1% 83
9 TOEPLITZ SYSTEMS 90 58% 1% 104
10 CIRCULANT PRECONDITIONERS 90 77% 1% 61

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 LINEAR ALGEBRA AND ITS APPLICATIONS 331 17% 19% 1807
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 330 36% 8% 732
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 57 23% 2% 217
4 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 36 23% 1% 135
5 LINEAR & MULTILINEAR ALGEBRA 27 15% 2% 161
6 BIT NUMERICAL MATHEMATICS 21 14% 1% 140
7 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 9 10% 1% 86
8 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 8 12% 1% 63
9 CALCOLO 6 14% 0% 37
10 SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 1 11% 0% 6

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
The quadratic eigenvalue problem 2001 422 79 47%
Conjugate gradient methods for toeplitz systems 1996 358 90 82%
The ELPA library: scalable parallel eigenvalue solutions for electronic structure theory and computational science 2014 6 35 49%
DISPLACEMENT STRUCTURE - THEORY AND APPLICATIONS 1995 213 77 69%
A gentle guide to the basics of two projections theory 2010 26 34 65%
Inverse eigenvalue problems 1998 125 102 53%
On a new generalized inverse for matrices of an arbitrary index 2014 1 4 100%
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence 2005 46 6 83%
THE MATRIX SIGN FUNCTION 1995 94 53 60%
Eigenvalue computation in the 20th century 2000 58 46 63%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 LEHRGEBIET MATH PHYS 29 88% 0.1% 14
2 DIPARTIMENTO CHIM FIS MATEMAT 25 73% 0.2% 19
3 HPC2N 16 50% 0.2% 23
4 MATH NONLINEAR SCI 14 19% 0.7% 68
5 YUAN YUNG TSENG FUNCT ANAL 11 78% 0.1% 7
6 CONTROL THEORY GUIDANCE TECHNOL 10 18% 0.5% 51
7 CU MI VOIX 9 83% 0.1% 5
8 MA 4 5 9 83% 0.1% 5
9 MATH ECONOMETR 8 10% 0.8% 77
10 CHINA ECON MANAGEMENT 8 22% 0.3% 32

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000025596 JORDANS FORM//TRIDIAGONAL MATRICES//ANTI TRIDIAGONAL MATRICES
2 0.0000023325 NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL//HIGHER RANK NUMERICAL RANGE
3 0.0000019254 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
4 0.0000018794 TOTAL LEAST SQUARES//JOURNAL OF SURVEYING ENGINEERING-ASCE//GEODETIC SURVEYS
5 0.0000013408 COMPETITION GRAPH//COMPETITION NUMBER//PRIMITIVE DIGRAPH
6 0.0000012076 SEMILOCAL CONVERGENCE//ORDER OF CONVERGENCE//MAJORIZING SEQUENCE
7 0.0000008418 FIBONACCI QUARTERLY//PASCAL MATRIX//BOUNDED MOVEMENT
8 0.0000007406 QUADRATIC DIFFERENTIAL FORMS//SYSTEMS OVER RINGS//UNIMODULAR ROWS
9 0.0000007352 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//SOBOLEV ORTHOGONAL POLYNOMIALS
10 0.0000007331 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS