Parallel nonlinear multisplitting methods
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Publication:1114337
DOI10.1007/BF01409789zbMath0662.65042MaRDI QIDQ1114337
Publication date: 1989
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133396
Newton's methodnonlinear systemparallel computinglocal convergenceM-matricesparallel iterative methodsnonlinear multisplittings
Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)
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Cites Work
- Unnamed Item
- Unnamed Item
- An asynchronous parallel mixed algorithm for linear and nonlinear equations
- Convergence of parallel multisplitting iterative methods for M-matrices
- Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
- Comparisons of weak regular splittings and multisplitting methods
- Convergence of relaxed parallel multisplitting methods
- Parallel interval multisplittings
- On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows
- Multi-Splittings of Matrices and Parallel Solution of Linear Systems
- Parallel Algorithms for Nonlinear Problems
- A Nonlinear Parallel Algorithm with Application to the Stefan Problem
- On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
- Über reguläre Zerlegungen bei nichtlinearen Abbildungen