The effect of the number of processors on the convergence of the parallel block Jacobi method

DOI10.1016/0024-3795(91)90382-7zbMath0731.65018OpenAlexW2010244686MaRDI QIDQ808159

B. Vemmer, Michael Neumann, Ludwig Elsner

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90382-7

zbMATH Keywords

rate of convergencenumerical resultsparallel iterationnumber of processorsnumber of splittingsparallel block Jacobi method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (9)

A CLASS OF ASYNCHRONOUS PARALLEL MATRIX MULTISPLITTING RELAXATION METHODS ⋮ Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients ⋮ Convergence of relaxed chaotic parallel iterative methods ⋮ Monotonic sequences and rates of convergence of asynchronized iterative methods ⋮ On the convergence of parallel multisplitting asynchronous GAOR method for \(H\)-matrix ⋮ Convergence of relaxed matrix parallel multisplitting chaotic methods for \(H\)-matrices ⋮ Spectral radii of certain iteration matrices and cycle means of digraphs ⋮ Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices ⋮ On the roots of certain polynomials arising from the analysis of the Nelder-Mead simplex method

Cites Work

• Convergence of parallel multisplitting iterative methods for M-matrices
• Iterative solution of linear systems of functional equations
• Models of parallel chaotic iteration methods
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Unnamed Item
• Unnamed Item

This page was built for publication: The effect of the number of processors on the convergence of the parallel block Jacobi method