Verified numerical computations for dense linear systems in supercomputing

研究成果: Conference article査読

抄録

The numerical computations with guaranteed accuracy called verified numerical computations are studied, herein. We focus on an accurate numerical solution for dense linear systems of the form Ax = b and error bound of in supercomputing, where is an approximate solution. First, we implemented accurate algorithms for a matrix-vector product for parallel and distributed computing, and then, applied them to iterative refinements. Next, we implemented verified numerical computations using the Parallel Basic Linear Algebra Subprograms (PBLAS) and the Scalable Linear Algebra Package library (ScaLAPACK). Numerical examples of the verified numerical computations for linear systems are presented using the Fujitsu FX100 supercomputer. They clearly illustrate the efficiency of the verified numerical computations.

本文言語English
論文番号012014
ジャーナルJournal of Physics: Conference Series
1218
1
DOI
出版ステータスPublished - 2019 5 31
イベント3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
継続期間: 2018 10 20 → …

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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