Class information for:
Level 1: ERROR FREE TRANSFORMATION//FLOATING POINT ARITHMETIC//FLOATING POINT SUMMATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21592 413 19.4 26%


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
21592 1                   ERROR FREE TRANSFORMATION//FLOATING POINT ARITHMETIC//FLOATING POINT SUMMATION 413

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 ERROR FREE TRANSFORMATION authKW 1109019 4% 100% 15
2 FLOATING POINT ARITHMETIC authKW 960647 11% 28% 47
3 FLOATING POINT SUMMATION authKW 739346 2% 100% 10
4 CORRECT ROUNDING authKW 596400 3% 73% 11
5 ROUNDING ERROR authKW 485595 4% 39% 17
6 ACCURATE DOT PRODUCT authKW 443608 1% 100% 6
7 ACCURATE SUMMATION authKW 443608 1% 100% 6
8 COMPENSATED ALGORITHM authKW 443608 1% 100% 6
9 RELIABLE COMP address 410719 5% 28% 20
10 FLOATING POINT authKW 388273 6% 21% 25

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 Computer Science, Software Engineering 5623 27% 0% 112
2 Mathematics, Applied 5138 44% 0% 183
3 Computer Science, Theory & Methods 3382 25% 0% 104
4 Computer Science, Hardware & Architecture 1292 10% 0% 42
5 Computer Science, Information Systems 257 7% 0% 29
6 Computer Science, Interdisciplinary Applications 101 5% 0% 20
7 Mechanics 50 5% 0% 20
8 Engineering, Electrical & Electronic 44 9% 0% 36
9 Computer Science, Artificial Intelligence 32 3% 0% 12
10 Logic 16 0% 0% 2

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 RELIABLE COMP 410719 5% 28% 20
2 PEQUAN 221804 1% 100% 3
3 COMP COGNIT SCI INKO 147869 0% 100% 2
4 ENS LYONCNRS LIP 147869 0% 100% 2
5 CNRSENS LYONUCBL 98578 0% 67% 2
6 BEREICH MATH NAT WISSEN 73935 0% 100% 1
7 CNRSENSLINRIA 73935 0% 100% 1
8 COMMUN INRIA MICROSOFT 73935 0% 100% 1
9 COMP SCI PL COGNIT SCI INKO 73935 0% 100% 1
10 EDIFICIO MATMAT 73935 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 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 69465 8% 3% 33
2 COMPUTING 29239 7% 1% 27
3 INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 9534 2% 1% 9
4 BIT NUMERICAL MATHEMATICS 5990 3% 1% 11
5 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 5737 1% 1% 6
6 NUMERICAL ALGORITHMS 4998 3% 1% 11
7 IEEE TRANSACTIONS ON COMPUTERS 4611 4% 0% 18
8 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 4385 4% 0% 17
9 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS 4374 2% 1% 8
10 DR DOBBS JOURNAL 3883 1% 1% 4

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 ERROR FREE TRANSFORMATION 1109019 4% 100% 15 Search ERROR+FREE+TRANSFORMATION Search ERROR+FREE+TRANSFORMATION
2 FLOATING POINT ARITHMETIC 960647 11% 28% 47 Search FLOATING+POINT+ARITHMETIC Search FLOATING+POINT+ARITHMETIC
3 FLOATING POINT SUMMATION 739346 2% 100% 10 Search FLOATING+POINT+SUMMATION Search FLOATING+POINT+SUMMATION
4 CORRECT ROUNDING 596400 3% 73% 11 Search CORRECT+ROUNDING Search CORRECT+ROUNDING
5 ROUNDING ERROR 485595 4% 39% 17 Search ROUNDING+ERROR Search ROUNDING+ERROR
6 ACCURATE DOT PRODUCT 443608 1% 100% 6 Search ACCURATE+DOT+PRODUCT Search ACCURATE+DOT+PRODUCT
7 ACCURATE SUMMATION 443608 1% 100% 6 Search ACCURATE+SUMMATION Search ACCURATE+SUMMATION
8 COMPENSATED ALGORITHM 443608 1% 100% 6 Search COMPENSATED+ALGORITHM Search COMPENSATED+ALGORITHM
9 FLOATING POINT 388273 6% 21% 25 Search FLOATING+POINT Search FLOATING+POINT
10 FAITHFUL ROUNDING 264049 1% 71% 5 Search FAITHFUL+ROUNDING Search FAITHFUL+ROUNDING

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 RUMP, SM , OGITA, T , OISHI, S , (2008) ACCURATE FLOATING-POINT SUMMATION PART I: FAITHFUL ROUNDING.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 31. ISSUE 1. P. 189 -224 16 100% 33
2 DU, PB , JIANG, H , CHENG, LZ , (2014) ACCURATE EVALUATION OF POLYNOMIALS IN LEGENDRE BASIS.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 12 92% 0
3 OZAKI, K , OGITA, T , OISHI, S , (2015) IMPROVEMENT OF ERROR-FREE SPLITTING FOR ACCURATE MATRIX MULTIPLICATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 288. ISSUE . P. 127 -140 12 86% 0
4 JIANG, H , BARRIO, R , LI, HS , LIAO, XK , CHENG, LZ , SU, F , (2011) ACCURATE EVALUATION OF A POLYNOMIAL IN CHEBYSHEV FORM.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 23. P. 9702 -9716 12 86% 2
5 OGITA, T , RUMP, SM , OISHI, S , (2005) ACCURATE SUM AND DOT PRODUCT.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 26. ISSUE 6. P. 1955 -1988 12 86% 101
6 YANAGISAWA, Y , OGITA, T , OISHI, S , (2014) CONVERGENCE ANALYSIS OF AN ALGORITHM FOR ACCURATE INVERSE CHOLESKY FACTORIZATION.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. VOL. 31. ISSUE 3. P. 461 -482 9 100% 1
7 OZAKI, K , TAKESHI, O , OISHI, S , (2012) A ROBUST ALGORITHM FOR GEOMETRIC PREDICATE BY ERROR-FREE DETERMINANT TRANSFORMATION.INFORMATION AND COMPUTATION. VOL. 216. ISSUE . P. 3 -13 11 85% 0
8 RUMP, SM , (2009) ULTIMATELY FAST ACCURATE SUMMATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 31. ISSUE 5. P. 3466 -3502 11 85% 25
9 OZAKI, K , BUNGER, F , OGITA, T , OISHI, S , RUMP, SM , (2016) SIMPLE FLOATING-POINT FILTERS FOR THE TWO-DIMENSIONAL ORIENTATION PROBLEM.BIT NUMERICAL MATHEMATICS. VOL. 56. ISSUE 2. P. 729 -749 8 100% 0
10 ZHU, YK , HAYES, WB , (2009) CORRECT ROUNDING AND A HYBRID APPROACH TO EXACT FLOATING-POINT SUMMATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 31. ISSUE 4. P. 2981 -3001 9 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 10859 COMPUTER ARITHMETIC//CORDIC//LOGARITHMIC NUMBER SYSTEM
2 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
3 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE
4 15613 INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS
5 27670 LINE CLIPPING//MANUFACTURING CHAIN SIMULATION//POINT CONTAINMENT
6 35289 LOGICAL MACHINE//3 DIMENSIONAL IMAGE GENERATION//ASSEMBLER GENERATOR
7 15446 RAY TRACING//ACCELERATION STRUCTURE//BOOLEAN OPERATIONS
8 18723 THEOREM PROVING//SYMBOLIC TRAJECTORY EVALUATION//MULTIWAY DECISION GRAPHS
9 26450 VORONOI DIAGRAM//VORONOI DIAGRAM OF SPHERES//QUASI TRIANGULATION
10 898 COMPUTATIONAL GEOMETRY//COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS//INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS

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