Class information for:
Level 1: POLYNOMIAL EIGENVALUE PROBLEM//MATRIX POLYNOMIAL//QUADRATIC EIGENVALUE PROBLEM

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
9194 1110 19.7 40%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1067 9498 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//DRAZIN INVERSE

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 POLYNOMIAL EIGENVALUE PROBLEM Author keyword 35 73% 2% 27
2 MATRIX POLYNOMIAL Author keyword 28 43% 4% 49
3 QUADRATIC EIGENVALUE PROBLEM Author keyword 24 45% 4% 40
4 HAMILTONIAN MATRIX Author keyword 22 45% 3% 37
5 COMPANION FORM Author keyword 21 75% 1% 15
6 PSEUDOSPECTRUM Author keyword 19 40% 3% 36
7 PALINDROMIC MATRIX POLYNOMIAL Author keyword 18 89% 1% 8
8 SKEW HAMILTONIAN MATRIX Author keyword 17 79% 1% 11
9 PSEUDOSPECTRA Author keyword 15 39% 3% 31
10 DISTANCE TO UNCONTROLLABILITY Author keyword 15 82% 1% 9

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 POLYNOMIAL EIGENVALUE PROBLEM 35 73% 2% 27 Search POLYNOMIAL+EIGENVALUE+PROBLEM Search POLYNOMIAL+EIGENVALUE+PROBLEM
2 MATRIX POLYNOMIAL 28 43% 4% 49 Search MATRIX+POLYNOMIAL Search MATRIX+POLYNOMIAL
3 QUADRATIC EIGENVALUE PROBLEM 24 45% 4% 40 Search QUADRATIC+EIGENVALUE+PROBLEM Search QUADRATIC+EIGENVALUE+PROBLEM
4 HAMILTONIAN MATRIX 22 45% 3% 37 Search HAMILTONIAN+MATRIX Search HAMILTONIAN+MATRIX
5 COMPANION FORM 21 75% 1% 15 Search COMPANION+FORM Search COMPANION+FORM
6 PSEUDOSPECTRUM 19 40% 3% 36 Search PSEUDOSPECTRUM Search PSEUDOSPECTRUM
7 PALINDROMIC MATRIX POLYNOMIAL 18 89% 1% 8 Search PALINDROMIC+MATRIX+POLYNOMIAL Search PALINDROMIC+MATRIX+POLYNOMIAL
8 SKEW HAMILTONIAN MATRIX 17 79% 1% 11 Search SKEW+HAMILTONIAN+MATRIX Search SKEW+HAMILTONIAN+MATRIX
9 PSEUDOSPECTRA 15 39% 3% 31 Search PSEUDOSPECTRA Search PSEUDOSPECTRA
10 DISTANCE TO UNCONTROLLABILITY 15 82% 1% 9 Search DISTANCE+TO+UNCONTROLLABILITY Search DISTANCE+TO+UNCONTROLLABILITY

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 LINEARIZATIONS 100 85% 5% 52
2 PENCILS 27 31% 6% 72
3 ROBUST SOFTWARE 24 59% 2% 27
4 STRICT EQUIVALENCE 23 79% 1% 15
5 BACKWARD ERROR 20 57% 2% 24
6 ARBITRARY PENCIL A 18 59% 2% 20
7 GENERALIZED SCHUR DECOMPOSITION 17 52% 2% 23
8 MATRIX PENCILS 17 55% 2% 21
9 MINIMAL INDEXES 17 100% 1% 8
10 LAMBDA B 17 46% 2% 27

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence 2005 46 6 83%
The quadratic eigenvalue problem 2001 422 79 27%
PENCILS OF COMPLEX AND REAL SYMMETRICAL AND SKEW MATRICES 1991 91 45 49%
Product eigenvalue problems 2005 13 37 32%
Nonsmooth optimization and robust control 2007 3 35 34%
SCIENTIFIC SOCIETIES IN SOUTH-AFRICA TO THE END OF THE 19TH-CENTURY 1992 0 1 100%
THE AUTONOMOUS LINEAR-QUADRATIC CONTROL PROBLEM - THEORY AND NUMERICAL-SOLUTION 1991 1 65 22%

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 CU MI VOIX 9 83% 0.5% 5
2 MA 4 5 9 83% 0.5% 5
3 DIPARTIMENTO INGN SCI INFORMAT MATEMAT 4 67% 0.4% 4
4 FAK MATH MATH IND TECH 4 75% 0.3% 3
5 AFDELING WISKUNDE 4 24% 1.2% 13
6 EXACTE WETEN PEN 3 18% 1.4% 16
7 AG NUMER 3 60% 0.3% 3
8 MATH MA 4 5 3 42% 0.5% 5
9 UNIT BMI 2 32% 0.5% 6
10 BRISTOL ADV DYNAM ENGN 2 36% 0.5% 5

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000199531 SPECTRAL POLLUTION//FBI BARGMANN TRANSFORM//JWKB METHOD
2 0.0000191988 CONTROLLABILITY INDICES//MATEMAT LICADA EIO//HERMITE INDICES
3 0.0000177724 JACOBI DAVIDSON//IMPLICITLY RESTARTED ARNOLDI//REFINED RITZ VECTOR
4 0.0000170011 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//RELATIVE PERTURBATION THEORY//COLUMN PIVOTING
5 0.0000128259 NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//NONLINEAR MATRIX EQUATION//POSITIVE DEFINITE SOLUTION
6 0.0000124944 MATRIX EQUATIONS//REFLEXIVE MATRIX//LINEAR MATRIX EQUATION
7 0.0000097039 ALGEBRA OVER A FIELD//COMMON INVARIANT SUBSPACE//DECOMPOSABLE VECTOR
8 0.0000093555 MASS DASHPOT SPRING SYSTEM//PROJECTED METHOD//AEROFLIGHTDYNAM DIRECTORATEAMRDEC
9 0.0000082916 NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL//HIGHER RANK NUMERICAL RANGE
10 0.0000079950 PARA HERMITIAN MATRICES//ALGEBRAIC RICCATI EQUATION//LOOP TRANSFER RECOVERY