Massively parallel Poisson and QR factorization solvers

DOI10.1016/0898-1221(95)00212-XzbMath0874.65078MaRDI QIDQ1361265

M. Lucká, E. Viktorinová, Marián Vajteršic

Publication date: 2 November 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

computational complexitynumerical exampleDirichlet problemfinite-differenceparallel algorithmsPoisson equationQR factorizationGivens rotationsPoisson solverHouseholder reflectionscyclic odd-even reductionfast sine transformmassively SIMD-type computer arrays

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Parallel computation. 2nd international ACPC conference, Gmunden, Austria, October 4-6, 1993. Proceedings
• Efficient Matrix Multiplication on SIMD Computers
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