Class information for:
Level 1: TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17717 586 14.1 37%


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
17717 1                   TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS 586

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 TRIDIAGONAL MATRICES authKW 1358765 9% 47% 55
2 JORDANS FORM authKW 1042138 3% 100% 20
3 TRIDIAGONAL LINEAR SYSTEMS authKW 918808 4% 77% 23
4 ANTI TRIDIAGONAL MATRICES authKW 729497 2% 100% 14
5 COMPUTER ALGEBRA SYSTEMS CAS authKW 702067 3% 84% 16
6 PENTADIAGONAL MATRIX authKW 416847 2% 67% 12
7 TRIDIAGONAL MATRIX authKW 381017 5% 25% 29
8 EIGENVECTORS authKW 349530 9% 13% 52
9 PENTADIAGONAL MATRICES authKW 324661 2% 69% 9
10 INVERSE MATRIX authKW 302327 4% 28% 21

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 14202 61% 0% 359
2 Computer Science, Theory & Methods 2232 17% 0% 102
3 Mathematics 493 14% 0% 81
4 Computer Science, Hardware & Architecture 224 4% 0% 22
5 Mathematics, Interdisciplinary Applications 77 3% 0% 18
6 Engineering, General 75 3% 0% 19
7 Computer Science, Software Engineering 73 3% 0% 18
8 Computer Science, Interdisciplinary Applications 54 3% 0% 19
9 Physics, Mathematical 36 3% 0% 17
10 COMPUTER APPLICATIONS & CYBERNETICS 18 0% 0% 1

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 MATH PL INFORMAT TECHNOL 274237 2% 53% 10
2 GRP DEFA 234478 1% 75% 6
3 EUE UCM STAT 156321 1% 100% 3
4 ETSIT UPM 117239 1% 75% 3
5 ETSIT UPM TELECOMMUN ENGN 117239 1% 75% 3
6 MATH PL INFORMAT TECHNOL ETSIT UPM 69475 0% 67% 2
7 CIENCIA COMP INTEL ARTIFICIAL 52107 0% 100% 1
8 CIENCIA COMP INTEL IIGENCIA ARTIFICIAL 52107 0% 100% 1
9 DPTO ANAL MATMAT 52107 0% 100% 1
10 FUNDAMENT SCI 52107 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 PARALLEL COMPUTING 51199 8% 2% 49
2 APPLIED MATHEMATICS AND COMPUTATION 46624 21% 1% 125
3 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 23128 7% 1% 42
4 SUPERCOMPUTER 11640 1% 4% 6
5 LINEAR ALGEBRA AND ITS APPLICATIONS 6505 6% 0% 38
6 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5197 5% 0% 31
7 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 4954 2% 1% 9
8 INTERNATIONAL JOURNAL OF HIGH SPEED COMPUTING 4780 1% 3% 3
9 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 4109 2% 1% 13
10 JOURNAL OF VLSI AND COMPUTER SYSTEMS 3255 0% 6% 1

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 TRIDIAGONAL MATRICES 1358765 9% 47% 55 Search TRIDIAGONAL+MATRICES Search TRIDIAGONAL+MATRICES
2 JORDANS FORM 1042138 3% 100% 20 Search JORDANS+FORM Search JORDANS+FORM
3 TRIDIAGONAL LINEAR SYSTEMS 918808 4% 77% 23 Search TRIDIAGONAL+LINEAR+SYSTEMS Search TRIDIAGONAL+LINEAR+SYSTEMS
4 ANTI TRIDIAGONAL MATRICES 729497 2% 100% 14 Search ANTI+TRIDIAGONAL+MATRICES Search ANTI+TRIDIAGONAL+MATRICES
5 COMPUTER ALGEBRA SYSTEMS CAS 702067 3% 84% 16 Search COMPUTER+ALGEBRA+SYSTEMS+CAS Search COMPUTER+ALGEBRA+SYSTEMS+CAS
6 PENTADIAGONAL MATRIX 416847 2% 67% 12 Search PENTADIAGONAL+MATRIX Search PENTADIAGONAL+MATRIX
7 TRIDIAGONAL MATRIX 381017 5% 25% 29 Search TRIDIAGONAL+MATRIX Search TRIDIAGONAL+MATRIX
8 EIGENVECTORS 349530 9% 13% 52 Search EIGENVECTORS Search EIGENVECTORS
9 PENTADIAGONAL MATRICES 324661 2% 69% 9 Search PENTADIAGONAL+MATRICES Search PENTADIAGONAL+MATRICES
10 INVERSE MATRIX 302327 4% 28% 21 Search INVERSE+MATRIX Search INVERSE+MATRIX

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 JIA, JT , LI, SM , (2015) SYMBOLIC ALGORITHMS FOR THE INVERSES OF GENERAL K-TRIDIAGONAL MATRICES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 70. ISSUE 12. P. 3032 -3042 23 92% 0
2 JIA, JT , LI, SM , (2016) NUMERICAL ALGORITHM FOR THE DETERMINANT EVALUATION OF CYCLIC PENTADIAGONAL MATRICES WITH TOEPLITZ STRUCTURE.NUMERICAL ALGORITHMS. VOL. 71. ISSUE 2. P. 337 -348 19 90% 1
3 EL-MIKKAWY, M , ATLAN, F , (2015) A NEW RECURSIVE ALGORITHM FOR INVERTING GENERAL K-TRIDIAGONAL MATRICES.APPLIED MATHEMATICS LETTERS. VOL. 44. ISSUE . P. 34 -39 17 94% 3
4 JIA, JT , YANG, BT , LI, SM , (2016) ON A HOMOGENEOUS RECURRENCE RELATION FOR THE DETERMINANTS OF GENERAL PENTADIAGONAL TOEPLITZ MATRICES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 71. ISSUE 4. P. 1036 -1044 19 86% 0
5 KONG, QX , JIA, JT , (2015) A STRUCTURE-PRESERVING ALGORITHM FOR LINEAR SYSTEMS WITH CIRCULANT PENTADIAGONAL COEFFICIENT MATRICES.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 53. ISSUE 7. P. 1617 -1633 19 83% 0
6 JIA, JT , SOGABE, T , EL-MIKKAWY, M , (2013) INVERSION OF K-TRIDIAGONAL MATRICES WITH TOEPLITZ STRUCTURE.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 65. ISSUE 1. P. 116-125 17 89% 5
7 JIA, JT , LI, SM , (2015) ON THE INVERSE AND DETERMINANT OF GENERAL BORDERED TRIDIAGONAL MATRICES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 69. ISSUE 6. P. 503 -509 13 100% 2
8 GUTIERREZ-GUTIERREZ, J , ZARRAGA-RODRIGUEZ, M , (2016) SINGULAR VALUE DECOMPOSITION FOR BIDIAGONAL FILTER MATRICES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 289. ISSUE . P. 214 -219 13 100% 0
9 EL-MIKKAWY, M , ATLAN, F , (2014) A NOVEL ALGORITHM FOR INVERTING A GENERAL K-TRIDIAGONAL MATRIX.APPLIED MATHEMATICS LETTERS. VOL. 32. ISSUE . P. 41-47 15 83% 4
10 JIA, JT , JIANG, YL , (2015) TWO SYMBOLIC ALGORITHMS FOR SOLVING GENERAL PERIODIC PENTADIAGONAL LINEAR SYSTEMS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 69. ISSUE 9. P. 1020 -1029 14 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
2 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
3 32152 DIFFERENTIAL OF MECHANICAL PROPERTIES//DIVIDE AND CONGUER ALGORITHM//INDUCTION AND RADIATION HEATING
4 18733 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
5 26059 CYCLIC DISTRIBUTION//INCOMPRESSIBLE THREE DIMENSIONAL FLUID FLOW//PARALLEL FAST FOURIER TRANSFORM
6 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE
7 10839 INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE
8 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
9 14631 FIBONACCI QUARTERLY//FIBONACCI NUMBERS//LUCAS NUMBERS
10 11466 DENSE LINEAR ALGEBRA//LEVEL 3 BLAS//BLAS

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