Class information for:
Level 1: DENSE LINEAR ALGEBRA//LEVEL 3 BLAS//BLAS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
11466 980 21.2 32%



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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
20 3       COMPUTER SCIENCE, INFORMATION SYSTEMS//COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, SOFTWARE ENGINEERING 118625
525 2             COMPUTER SCIENCE, THEORY & METHODS//GRID COMPUTING//PARALLEL COMPUTING 14974
11466 1                   DENSE LINEAR ALGEBRA//LEVEL 3 BLAS//BLAS 980

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 DENSE LINEAR ALGEBRA authKW 618834 2% 83% 24
2 LEVEL 3 BLAS authKW 377645 2% 61% 20
3 BLAS authKW 351006 3% 43% 26
4 LAPACK authKW 299078 2% 40% 24
5 LINEAR ALGEBRA authKW 262508 6% 14% 59
6 INGN CIENCIA COMP address 221735 2% 32% 22
7 GEMM BASED authKW 221559 1% 89% 8
8 HPC2N address 214762 2% 38% 18
9 BLOCKED ALGORITHMS authKW 190835 1% 88% 7
10 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE journal 189692 9% 7% 84

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, Theory & Methods 33533 51% 0% 497
2 Computer Science, Software Engineering 15276 29% 0% 284
3 Computer Science, Hardware & Architecture 7888 16% 0% 158
4 Mathematics, Applied 6166 32% 0% 313
5 Computer Science, Interdisciplinary Applications 868 9% 0% 84
6 Computer Science, Information Systems 538 7% 0% 65
7 Engineering, Electrical & Electronic 76 8% 0% 77
8 Mathematics 31 4% 0% 40
9 Engineering, General 24 2% 0% 17
10 Physics, Mathematical 13 2% 0% 17

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 INGN CIENCIA COMP 221735 2% 32% 22
2 HPC2N 214762 2% 38% 18
3 INNOVAT COMP 126582 2% 25% 16
4 IBM CELL COMPETENCY 62314 0% 100% 2
5 COMP SCI HPC2N 62310 0% 50% 4
6 HIGH PERFORMANCE COMP N 56080 0% 60% 3
7 DANISH COMP EDUC 48676 1% 31% 5
8 INGN CIENCIA COMPUTADO 42397 1% 19% 7
9 SYST PROGRAMMING 32968 1% 9% 12
10 ADV COMP SIUMULAT 31157 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 189692 9% 7% 84
2 PARALLEL COMPUTING 154361 11% 5% 110
3 CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE 22225 4% 2% 39
4 CONCURRENCY-PRACTICE AND EXPERIENCE 18765 2% 4% 17
5 INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS 16611 2% 3% 17
6 JOURNAL OF SUPERCOMPUTING 15925 3% 2% 33
7 SUPERCOMPUTER 15658 1% 6% 9
8 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 14640 2% 2% 20
9 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 11413 3% 1% 28
10 INTERNATIONAL JOURNAL OF SUPERCOMPUTER APPLICATIONS AND HIGH PERFORMANCE COMPUTING 9174 1% 4% 8

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 DENSE LINEAR ALGEBRA 618834 2% 83% 24 Search DENSE+LINEAR+ALGEBRA Search DENSE+LINEAR+ALGEBRA
2 LEVEL 3 BLAS 377645 2% 61% 20 Search LEVEL+3+BLAS Search LEVEL+3+BLAS
3 BLAS 351006 3% 43% 26 Search BLAS Search BLAS
4 LAPACK 299078 2% 40% 24 Search LAPACK Search LAPACK
5 LINEAR ALGEBRA 262508 6% 14% 59 Search LINEAR+ALGEBRA Search LINEAR+ALGEBRA
6 GEMM BASED 221559 1% 89% 8 Search GEMM+BASED Search GEMM+BASED
7 BLOCKED ALGORITHMS 190835 1% 88% 7 Search BLOCKED+ALGORITHMS Search BLOCKED+ALGORITHMS
8 BLOCKED ALGORITHM 169629 1% 78% 7 Search BLOCKED+ALGORITHM Search BLOCKED+ALGORITHM
9 QR ALGORITHM 166141 2% 27% 20 Search QR+ALGORITHM Search QR+ALGORITHM
10 CHOLESKY FACTORIZATION AND SOLUTION 155785 1% 100% 5 Search CHOLESKY+FACTORIZATION+AND+SOLUTION Search CHOLESKY+FACTORIZATION+AND+SOLUTION

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 JONSSON, I , KAGSTROM, B , ELMROTH, E , GUSTAVSON, F , (2004) RECURSIVE BLOCKED ALGORITHMS AND HYBRID DATA STRUCTURES FOR DENSE MATRIX LIBRARY SOFTWARE.SIAM REVIEW. VOL. 46. ISSUE 1. P. 3 -45 41 69% 71
2 BALLARD, G , DEMMEL, J , HOLTZ, O , SCHWARTZ, O , (2011) MINIMIZING COMMUNICATION IN NUMERICAL LINEAR ALGEBRA.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 32. ISSUE 3. P. 866 -901 22 85% 41
3 GRANAT, R , KAGSTROM, B , KRESSNER, D , SHAO, MY , (2015) ALGORITHM 953: PARALLEL LIBRARY SOFTWARE FOR THE MULTISHIFT QR ALGORITHM WITH AGGRESSIVE EARLY DEFLATION.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 41. ISSUE 4. P. - 17 89% 0
4 SCHATZ, MD , VAN DE GEIJN, RA , POULSON, J , (2016) PARALLEL MATRIX MULTIPLICATION: A SYSTEMATIC JOURNEY.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 6. P. C748 -C781 15 88% 0
5 KARLSSON, L , KAGSTROM, B , (2011) PARALLEL TWO-STAGE REDUCTION TO HESSENBERG FORM USING DYNAMIC SCHEDULING ON SHARED-MEMORY ARCHITECTURES.PARALLEL COMPUTING. VOL. 37. ISSUE 12. P. 771 -782 14 100% 10
6 VAN ZEE, FG , VAN DE GEIJN, RA , QUINTANA-ORTI, G , ELIZONDO, GJ , (2012) FAMILIES OF ALGORITHMS FOR REDUCING A MATRIX TO CONDENSED FORM.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 39. ISSUE 1. P. - 15 94% 0
7 D'ALBERTO, P , BODRATO, M , NICOLAU, A , (2011) EXPLOITING PARALLELISM IN MATRIX-COMPUTATION KERNELS FOR SYMMETRIC MULTIPROCESSOR SYSTEMS MATRIX-MULTIPLICATION AND MATRIX-ADDITION ALGORITHM OPTIMIZATIONS BY SOFTWARE PIPELINING AND THREADS ALLOCATION.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 38. ISSUE 1. P. - 15 94% 2
8 GRANAT, R , KAGSTROM, B , KRESSNER, D , (2010) A NOVEL PARALLEL QR ALGORITHM FOR HYBRID DISTRIBUTED MEMORY HPC SYSTEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 4. P. 2345 -2378 20 67% 7
9 D'ALBERTO, P , NICOLAU, A , (2009) ADAPTIVE WINOGRAD'S MATRIX MULTIPLICATIONS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 36. ISSUE 1. P. - 16 84% 1
10 SCHWARTZ, O , BALLARD, G , CARSON, E , DEMMEL, J , HOEMMEN, M , KNIGHT, N , (2014) COMMUNICATION LOWER BOUNDS AND OPTIMAL ALGORITHMS FOR NUMERICAL LINEAR ALGEBRA.ACTA NUMERICA. VOL. 23. ISSUE . P. 1 -155 31 34% 10

Classes with closest relation at Level 1



Rank Class id link
1 13041 MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION
2 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
3 12271 GPU//CUDA//GPGPU
4 27012 TRIANGLE COUNTING//TRIANGLE LISTING//QUADRATIC ALGORITHMS
5 26059 CYCLIC DISTRIBUTION//INCOMPRESSIBLE THREE DIMENSIONAL FLUID FLOW//PARALLEL FAST FOURIER TRANSFORM
6 32910 HPC MARKET//PARALLEL PROCESSING ON CLUSTERS//PARALLELISM MANAGEMENT
7 17680 PARMACS//SUPRENUM//PARALLEL COMPUTING
8 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
9 4952 PARALLELIZING COMPILERS//LOOP TRANSFORMATIONS//AUTOMATIC PARALLELIZATION
10 32152 DIFFERENTIAL OF MECHANICAL PROPERTIES//DIVIDE AND CONGUER ALGORITHM//INDUCTION AND RADIATION HEATING

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