Tensor Equivalents for Solution of Linear Systems: A Parallel Algorithm

DOI10.1137/0608026zbMath0634.65020OpenAlexW2051880412MaRDI QIDQ3773172

John De Pillis

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608026

zbMATH Keywords

sparse matrixparallel algorithmstationary iterative methodtensor iteration matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

A parallelizable SOR-like method: Systems with plus-shaped and linear spectra ⋮ Applying the JII, JII-SI, and CG methods to two classes of linear problems

Uses Software

• LSQR
• CRAIG

Cites Work

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• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• Richardson's iteration for nonsymmetric matrices
• Convergence of a direct-iterative method for large-scale least-squares problems
• A study of semiiterative methods for nonsymmetric systems of linear equations
• How to embrace your spectrum for faster iterative results
• The analysis of k-step iterative methods for linear systems from summability theory
• The Tchebychev iteration for nonsymmetric linear systems
• Iterative methods for the solution of a linear operator equation in Hilbert space. A survey
• The Numerical Solution of Equality-Constrained Quadratic Programming Problems
• Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
• Iterative Solution of Indefinite Symmetric Linear Systems by Methods Using Orthogonal Polynomials over Two Disjoint Intervals
• On the Construction of Semi-Iterative Methods
• A Parallel Block Iterative Scheme Applied to Computations in Structural Analysis
• Extremal Polynomials with Application to Richardson Iteration for Indefinite Linear Systems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• On Different Splittings and the Associated Iteration Methods

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