Gallivan, Kyle; Jalby, William; Meier, Ulrike The use of BLAS3 in linear algebra on a parallel processor with a hierarchical memory. (English) Zbl 0632.65024 SIAM J. Sci. Stat. Comput. 8, 1079-1084 (1987). Block algorithms are used for the LU-decomposition Wikipedia Wolfram MathWorld and the Gram-Schmidt Encyclopedia of Mathematics nLab Wikipedia Wolfram MathWorld algorithm in order to compensate for the narrow memory bandwidth and small cache size of the ALLIANT FX/8. Thus more local use of data is obtained. Why not build better hardware? Reviewer: W.Schönauer Cited in 14 Documents MSC: 65F05 Direct numerical methods for linear systems and matrix inversion 65F25 Orthogonalization in numerical linear algebra 65Y05 Parallel numerical computation 68P05 Data structures Keywords:BLAS3; parallel computing; cache management; Block algorithms; LU- decomposition; Gram-Schmidt algorithm; small cache size; ALLIANT FX/8 × Cite Format Result Cite Review PDF Full Text: DOI