Class information for:
Level 1: SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16500 650 18.8 29%


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
16500 1                   SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS 650

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 SIMULTANEOUS METHODS authKW 2896226 10% 91% 68
2 POLYNOMIAL ZEROS authKW 2316613 9% 82% 60
3 INCLUSION METHODS authKW 707404 2% 94% 16
4 CIRCULAR INTERVAL ARITHMETIC authKW 516738 2% 100% 11
5 POLYNOMIAL ROOTS authKW 422762 3% 43% 21
6 DURAND KERNER METHOD authKW 391465 2% 83% 10
7 ZEROS OF POLYNOMIALS authKW 369182 4% 27% 29
8 ROOT ISOLATION authKW 335539 2% 71% 10
9 WEIERSTRASS METHOD authKW 328833 1% 100% 7
10 INITIAL CONDITIONS FOR CONVERGENCE authKW 281857 1% 100% 6

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 19144 67% 0% 438
2 Computer Science, Theory & Methods 2997 19% 0% 124
3 Mathematics 650 15% 0% 97
4 Computer Science, Software Engineering 489 7% 0% 44
5 Mechanics 307 8% 0% 55
6 History & Philosophy of Science 50 1% 0% 7
7 Computer Science, Interdisciplinary Applications 40 3% 0% 18
8 Multidisciplinary Sciences 37 2% 0% 10
9 Mathematics, Interdisciplinary Applications 24 2% 0% 12
10 Operations Research & Management Science 19 2% 0% 11

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 MANAGEMENT CIVIL ENGN 93952 0% 100% 2
2 COMPO SCI ENGN 46976 0% 100% 1
3 OFF UNIV PROF 46976 0% 100% 1
4 PARIS ROCQUENCOURT POLSYS PROJECTPOLSYSUMR 46976 0% 100% 1
5 PROJECT VEGAS 46976 0% 100% 1
6 TECNOL COMP 46976 0% 100% 1
7 ABT ORG 23487 0% 50% 1
8 COMMUN SIGNAL PROC SECT 23487 0% 50% 1
9 INRIALIP6 23487 0% 50% 1
10 ENGN ELE COMP 15657 0% 33% 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 COMPUTING 38756 6% 2% 39
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 20184 10% 1% 66
3 JOURNAL OF COMPLEXITY 11453 2% 2% 14
4 BIT NUMERICAL MATHEMATICS 11359 3% 1% 19
5 JOURNAL OF SYMBOLIC COMPUTATION 10989 4% 1% 23
6 COMPUTERS & MATHEMATICS WITH APPLICATIONS 10348 7% 0% 46
7 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 6516 4% 1% 26
8 NUMERICAL ALGORITHMS 5902 2% 1% 15
9 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 5698 3% 1% 22
10 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 4958 1% 2% 7

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 SIMULTANEOUS METHODS 2896226 10% 91% 68 Search SIMULTANEOUS+METHODS Search SIMULTANEOUS+METHODS
2 POLYNOMIAL ZEROS 2316613 9% 82% 60 Search POLYNOMIAL+ZEROS Search POLYNOMIAL+ZEROS
3 INCLUSION METHODS 707404 2% 94% 16 Search INCLUSION+METHODS Search INCLUSION+METHODS
4 CIRCULAR INTERVAL ARITHMETIC 516738 2% 100% 11 Search CIRCULAR+INTERVAL+ARITHMETIC Search CIRCULAR+INTERVAL+ARITHMETIC
5 POLYNOMIAL ROOTS 422762 3% 43% 21 Search POLYNOMIAL+ROOTS Search POLYNOMIAL+ROOTS
6 DURAND KERNER METHOD 391465 2% 83% 10 Search DURAND+KERNER+METHOD Search DURAND+KERNER+METHOD
7 ZEROS OF POLYNOMIALS 369182 4% 27% 29 Search ZEROS+OF+POLYNOMIALS Search ZEROS+OF+POLYNOMIALS
8 ROOT ISOLATION 335539 2% 71% 10 Search ROOT+ISOLATION Search ROOT+ISOLATION
9 WEIERSTRASS METHOD 328833 1% 100% 7 Search WEIERSTRASS+METHOD Search WEIERSTRASS+METHOD
10 INITIAL CONDITIONS FOR CONVERGENCE 281857 1% 100% 6 Search INITIAL+CONDITIONS+FOR+CONVERGENCE Search INITIAL+CONDITIONS+FOR+CONVERGENCE

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 SAGRALOFF, M , MEHLHORN, K , (2016) COMPUTING REAL ROOTS OF REAL POLYNOMIALS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 73. ISSUE . P. 46 -86 15 100% 3
2 PETKOVIC, MS , PETKOVIC, LD , RANCIC, LZ , (2007) POINT ESTIMATION OF SIMULTANEOUS METHODS FOR SOLVING POLYNOMIAL EQUATIONS: A SURVEY (II).JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 205. ISSUE 1. P. 32 -52 19 90% 2
3 SAGRALOFF, M , (2014) ON THE COMPLEXITY OF THE DESCARTES METHOD WHEN USING APPROXIMATE ARITHMETIC.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 65. ISSUE . P. 79 -110 14 100% 2
4 BOYD, JP , (2013) A FOURIER COMPANION MATRIX (MULTIPLICATION MATRIX) WITH REAL-VALUED ELEMENTS: FINDING THE ROOTS OF A TRIGONOMETRIC POLYNOMIAL BY MATRIX EIGENSOLVING.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS. VOL. 6. ISSUE 4. P. 586-599 14 100% 0
5 PETKOVIC, LD , RANCIC, L , PETKOVIC, MS , (2008) AN EFFICIENT HIGHER ORDER FAMILY OF ROOT FINDERS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 216. ISSUE 1. P. 56-72 16 94% 2
6 TSIGARIDAS, EP , (2013) IMPROVED BOUNDS FOR THE CF ALGORITHM.THEORETICAL COMPUTER SCIENCE. VOL. 479. ISSUE . P. 120-126 14 93% 1
7 PETKOVIC, MS , MILOSEVIC, DM , (2008) ON THE CONVERGENCE CONDITION OF GENERALIZED ROOT ITERATIONS FOR THE INCLUSION OF POLYNOMIAL ZEROS.MATHEMATICS AND COMPUTERS IN SIMULATION. VOL. 78. ISSUE 1. P. 12-26 14 100% 0
8 PETKOVIC, MS , RANCIC, LZ , (2006) A FAMILY OF ROOT-FINDING METHODS WITH ACCELERATED CONVERGENCE.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 51. ISSUE 6-7. P. 999-1010 14 100% 3
9 PAN, VY , (1997) SOLVING A POLYNOMIAL EQUATION: SOME HISTORY AND RECENT PROGRESS.SIAM REVIEW. VOL. 39. ISSUE 2. P. 187-220 23 66% 137
10 PETKOVIC, MS , PETKOVIC, LD , DZUNIC, J , (2014) ON AN EFFICIENT METHOD FOR THE SIMULTANEOUS APPROXIMATION OF POLYNOMIAL MULTIPLE ROOTS.APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS. VOL. 8. ISSUE 1. P. 73 -94 15 75% 0

Classes with closest relation at Level 1


Rank Class id link
1 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
2 5803 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
3 6132 JOURNAL OF SYMBOLIC COMPUTATION//POLYNOMIAL SYSTEM SOLVING//MATEMAT ESTADIST COMPUTAC
4 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
5 37155 LOCATION OF THE ZEROS//ANNULAR BOUND//LOCATION OF ZEROS OF POLYNOMIALS
6 15613 INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS
7 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
8 36883 MODELLING COMPUTAT//AIR BUBBLE CURTAIN//DEV MODELLING METHODOL MANAGEMENT MULTISPECIES FI
9 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
10 27274 KEPLERS EQUATION//OPTIMAL STARTER//HALF ARGUMENT TRANSFORMATION

Go to start page