Increasing data locality and introducing level-3 BLAS in the neville elimination

DOI10.1016/j.amc.2011.08.076zbMath1242.65052OpenAlexW2046335171WikidataQ62618244 ScholiaQ62618244MaRDI QIDQ426354

José Ranilla, Raquel Cortina, Pedro Alonso, Enrique S. Quintana-Ortí

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.076

zbMATH Keywords

algorithmslinear systemsnumerical exampleshigh performanceNeville eliminationpivotingmulti-core processors

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

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Uses Software

• BLAS

Cites Work

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• Growth factors of pivoting strategies associated with Neville elimination
• Backward error analysis of Neville elimination
• Blocked algorithms for the reduction to Hessenberg-triangular form revisited
• A collection of examples where Neville elimination outperforms Gaussian elimination
• Blocking Neville elimination algorithm for exploiting cache memories
• Total positivity and Neville elimination
• Analysis of Pairwise Pivoting in Gaussian Elimination
• Average-Case Stability of Gaussian Elimination
• Using Level 3 BLAS in Rotation-Based Algorithms
• A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
• The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System

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