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Parallel Algorithms for Nonlinear Problems

https://doi.org/10.1137/0607017
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/b978-0-12-092250-5.50009-6openalex-snapshot
NONNEGATIVE MATRICES
inferredcites →https://doi.org/10.1109/tc.1977.1674932openalex-snapshot
Iterative Solution of Linear Equations on a Parallel Processor System
inferredcites →https://doi.org/10.1137/0606062openalex-snapshot
Multi-Splittings of Matrices and Parallel Solution of Linear Systems
inferredcites →https://doi.org/10.1137/0715050openalex-snapshot
On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Synchronous and Asynchronous Parallel Algorithms with Overlap for Almost Linear Systems
inferred← citeshttps://doi.org/10.1007/11403937_53openalex-snapshot
Parallel Newton Iterative Methods Based on Incomplete LU Factorizations for Solving Nonlinear Systems
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Non-stationary Parallel Newton Iterative Methods for Nonlinear Problems
inferred← citeshttps://doi.org/10.1007/bf00129645openalex-snapshot
Granularity issues for solving polynomial systems via globally convergent algorithms on a hypercube
inferred← citeshttps://doi.org/10.1007/bf01409789openalex-snapshot
Parallel nonlinear multisplitting methods
inferred← citeshttps://doi.org/10.1007/bf02239746openalex-snapshot
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method
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Parallel Multisplitting AOR method for solving a class of system of nonlinear algebraic equations
inferred← citeshttps://doi.org/10.1007/bf02662072openalex-snapshot
Asynchronous multisplitting nonlinear Gauss-Seidel type method
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Parallel nonlinear multisplitting relaxation methods
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On multisplitting methods for band matrices
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Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems
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Convergence of parallel multisplitting iterative methods for M-matrices
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Models of parallel chaotic iteration methods
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Convergence of relaxed parallel multisplitting methods
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On the convergence of the parallel multisplitting AOR algorithm
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Asynchronous block-iterative methods for almost linear equations
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Some notes on multisplltting methods and m-step preconditioners for linear systems
inferred← citeshttps://doi.org/10.1016/0045-7825(87)90057-0openalex-snapshot
Multisplittings and parallel iterative methods
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Message length effects for solving polynomial systems on a hypercube
inferred← citeshttps://doi.org/10.1016/0167-8191(89)90051-3openalex-snapshot
Parallel algorithms and architectures for multisplitting iterative methods
inferred← citeshttps://doi.org/10.1016/0362-546x(89)90017-5openalex-snapshot
A globally convergent parallel algorithm for zeros of polynomial systems
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00270-7openalex-snapshot
Convergence analysis of the parallel multisplitting TOR method
inferred← citeshttps://doi.org/10.1016/0898-1221(95)00190-5openalex-snapshot
Parallel nonlinear AOR method and its convergence
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00013-2openalex-snapshot
The monotone convergence rate of the parallel nonlinear AOR method
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00027-2openalex-snapshot
Improved comparison theorem for the nonlinear multisplitting relaxation method
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00073-9openalex-snapshot
The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00123-xopenalex-snapshot
New comparison theorem for the nonlinear multisplitting relaxation method for the nonlinear complementarity problems
inferred← citeshttps://doi.org/10.1016/0956-0521(95)00036-4openalex-snapshot
Multisplitting iterative methods on fixed-size VLSI architectures
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2018.11.012openalex-snapshot
Behavior of parallel two-stage method for the simulation of steel solidification in continuous casting
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2020.102896openalex-snapshot
Parallel asynchronous algorithms: A survey
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2020.102929openalex-snapshot
Solution of univalued and multivalued pseudo-linear problems using parallel asynchronous multisplitting methods combined with Krylov methods
inferred← citeshttps://doi.org/10.1016/j.amc.2023.128248openalex-snapshot
Modulus-based synchronous multisplitting iteration methods without auxiliary variable for solving vertical linear complementarity problems
inferred← citeshttps://doi.org/10.1016/j.jocs.2021.101303openalex-snapshot
Coupling parallel asynchronous multisplitting methods with Krylov methods to solve pseudo-linear evolution 3D problems
inferred← citeshttps://doi.org/10.1016/s0096-3003(97)10154-0openalex-snapshot
Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations
inferred← citeshttps://doi.org/10.1016/s0096-3003(98)10141-8openalex-snapshot
Parallel multisplitting methods for a class of systems of weakly nonlinear equations without isotone mapping
inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00036-8openalex-snapshot
On the convergence of parallel chaotic nonlinear multisplitting Newton-type methods
inferred← citeshttps://doi.org/10.1016/s0898-1221(99)00214-xopenalex-snapshot
Parallel multisplitting explicit AOR methods for numerical solutions of semilinear elliptic boundary value problems
inferred← citeshttps://doi.org/10.1023/a:1016617309072openalex-snapshot
Convergence of some asynchronous nonlinear multisplitting methods
inferred← citeshttps://doi.org/10.1023/a:1019110324062openalex-snapshot
Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations
inferred← citeshttps://doi.org/10.1023/b:bitn.0000014567.83072.4dopenalex-snapshot
Parallel Newton Two-Stage Multisplitting Iterative Methods for Nonlinear Systems
inferred← citeshttps://doi.org/10.1063/5.0026671openalex-snapshot
Parallel iterative splitting methods: Algorithms and applications
inferred← citeshttps://doi.org/10.1080/00207168908803746openalex-snapshot
The granularity of parallel homotopy algorithms for polynomial systems of equations
inferred← citeshttps://doi.org/10.1080/00207168908803757openalex-snapshot
On the convergence of block constrained nonlinear equation solvers∗
inferred← citeshttps://doi.org/10.1080/00207169408804338openalex-snapshot
Asynchronous multisplitting relaxed iterations for weakly nonlinear systems
inferred← citeshttps://doi.org/10.1080/00207169508804377openalex-snapshot
Asynchronous multisplitting aor method for a system of nonlinear algebraic equations
inferred← citeshttps://doi.org/10.1080/00207169508804390openalex-snapshot
Convergence analysis of the parallel multisplitting psd method
inferred← citeshttps://doi.org/10.1080/00207169708804614openalex-snapshot
The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations
inferred← citeshttps://doi.org/10.1080/10556789908805741openalex-snapshot
Some theoretical properties of Feng-Schnabel algorithm for block bordered nonlinear systems
inferred← citeshttps://doi.org/10.1080/10637199408915417openalex-snapshot
A CLASS OF ASYNCHRONOUS PARALLEL NONLINEAR MULTISPLITTING RELAXATION METHODS
inferred← citeshttps://doi.org/10.1080/10637199408915420openalex-snapshot
THE PARALLEL MULTISPLITTING GENERALIZED ITERATIVE METHODS
inferred← citeshttps://doi.org/10.1080/10637199508915518openalex-snapshot
MULTISPLITTING RELAXED METHODS FOR A CLASS OF SYSTEM OF NONLINEAR EQUATIONS
inferred← citeshttps://doi.org/10.1080/10637199508915519openalex-snapshot
PARALLEL MULTISPLITTINGS FOR OPTIMIZATION∗
inferred← citeshttps://doi.org/10.1080/10637199508915530openalex-snapshot
MODULAR FIXED-SIZE VLSI ARCHITECTURES FOR GENERAL MULTISPLITTING ITERATION
inferred← citeshttps://doi.org/10.1109/cec.2003.1299780openalex-snapshot
A fast and elitist parallel evolutionary algorithm for solving systems of non-linear equations
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Experimental Study on Parallel Methods for Solving Systems of Equations
inferred← citeshttps://doi.org/10.1137/0611004openalex-snapshot
Multisplitting of a Symmetric Positive Definite Matrix
inferred← citeshttps://doi.org/10.1137/0723040openalex-snapshot
A Nonlinear Parallel Algorithm with Application to the Stefan Problem
inferred← citeshttps://doi.org/10.1137/0913050openalex-snapshot
Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations
inferred← citeshttps://doi.org/10.1137/0916004openalex-snapshot
Waveform Relaxation with Overlapping Splittings
inferred← citeshttps://doi.org/10.1137/1.9781611971705.ch3openalex-snapshot
3. A Bibliography on Parallel and Vector Numerical Algorithms
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Granularity issues for solving polynomial systems via globally convergent algorithms on a hypercube
inferred← citeshttps://doi.org/10.11650/twjm/1500406354openalex-snapshot
The Weaker Convergence of Non-stationary Matrix Multisplitting Methods for Almost Linear Systems
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References
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Serial and Parallel Iterative Splitting Methods: Algorithms and Applications
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Serial and Parallel Iterative Splitting Methods: Algorithms and Applications to Fractional Convection-Diffusion Equations
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Multisplitting Methods for Singular Nonlinear Systems
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Asynchronous parallel multi-splitting mixed methods
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Models of Asynchronous Parallel Nonlinear Multisplitting Relaxed Iterations
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H-Splittings and Asynchronous Parallel Iterative Methods
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Calcul haute performance pour la simulation d'interactions fluide-structure
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