Parallel computations in linear algebra. II

DOI10.1007/BF01069754zbMath0547.65020OpenAlexW4242362062MaRDI QIDQ3339170

V. N. Faddeeva, D. K. Faddeev

Publication date: 1982

Published in: Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01069754

zbMATH Keywords

eigenvaluessparse matricesresearch surveytridiagonal matricesparallel computationstriangular matricesJacobiGauss-Seidelband triangular matrices

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Theory of operating systems (68N25) Numerical linear algebra (65Fxx)

Related Items (4)

Rapid parallel computation of degrees in a quotient ring of polynomials over a finite field ⋮ Design of parallel optimization methods ⋮ Deterministic organization of index-based numerical parallel processing ⋮ Upper bounds on the complexity of solving systems of linear equations

Cites Work

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• The parallel calculation of the eigenvalues of a real matrix A
• Approximating the inverse of a matrix for use in iterative algorithms on vector processors
• Parallel solution of linear systems by quadrant interlocking factorisation methods
• Matrix multiplication by diagonals on a vector/parallel processor
• Parallel Poisson and biharmonic solvers
• Parallel direct linear system solvers - a survey
• An improved parallel processor bound in fast matrix inversion
• A fast algorithm for solving the first biharmonic boundary value problem
• On Block-Parallel Methods for Solving Linear Equations
• A Computation Model of Parallel Solution of Linear Equations
• A modification of the quadrant interlocking factorisation parallel method
• A parallel linear system solver
• Computing the Singular-Value Decomposition on the ILLIAC IV
• The parallel solution of banded linear equations by the new quadrant interlocking factorisation (q.i.f.) method
• The Solution of Certain Banded Systems of Linear Equations Using the Folding Algorithm
• A Parallel QR Algorithm for Symmetric Tridiagonal Matrices
• The Complexity of Parallel Evaluation of Linear Recurrences
• Iterative Solution of Linear Equations on a Parallel Processor System
• On Stable Parallel Linear System Solvers
• An efficient heuristic cluster algorithm for tearing large-scale networks
• Asynchronous Iterative Methods for Multiprocessors
• Solving Triangular Systems on a Parallel Computer
• Practical Parallel Band Triangular System Solvers
• A Survey of Parallel Algorithms in Numerical Linear Algebra
• On the time required for a sequence of matrix products

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