Parallel direct linear system solvers - a survey

DOI10.1016/0378-4754(77)90044-1zbMath0367.65015OpenAlexW2081136666MaRDI QIDQ1242427

David Kuck, Ahmed H. Sameh

Publication date: 1977

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(77)90044-1

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Algorithms in computer science (68W99)

Related Items (4)

A review of parallel methods for solving sets of linear equations and their application within optimization algorithms ⋮ Methods and means of parallel processing of information ⋮ Parallel computations in linear algebra. II ⋮ Calculating an inverse matrix for lower triangular matrix using a two-processor system

Cites Work

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• Parallel Poisson and biharmonic solvers
• Time and Parallel Processor Bounds for Linear Recurrence Systems
• A Parallel QR Algorithm for Symmetric Tridiagonal Matrices
• Fast Parallel Matrix Inversion Algorithms
• On Stable Parallel Linear System Solvers
• Solving Triangular Systems on a Parallel Computer
• Practical Parallel Band Triangular System Solvers
• Methods of inverting tridiagonal matrices
• An Adaptation of the Fast Fourier Transform for Parallel Processing
• A Stable, Rational QR Algorithm for the Computation of the Eigenvalues of an Hermitian, Tridiagonal Matrix
• A Survey of Parallelism in Numerical Analysis
• Some Computer Organizations and Their Effectiveness
• An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations

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