A Block-Parallel Newton Method via Overlapping Epsilon Decompositions

DOI10.1137/S0895479892229115zbMath0828.65048OpenAlexW2044826683MaRDI QIDQ4305395

Dragoslav D. Šiljak, Aleksandar I. Zečević

Publication date: 13 September 1994

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479892229115

zbMATH Keywords

algorithmconvergenceparallel computationNewton methodnonlinear algebraic equationsload-flow problemoverlapping epsilon decompositions

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)

Related Items (14)

Matrix scaling for large-scale system decomposition ⋮ Pair-wise decomposition and coordinated control of complex systems ⋮ Overlapping block-laterative methods for solving algebraic equations ⋮ Solution of Lyapunov and Riccati equations in a multiprocessor environment ⋮ Dual inclusion principle for overlapping interconnected systems ⋮ A new approach to control design with overlapping information structure constraints ⋮ Inexact block Newton methods for solving nonlinear equations ⋮ Control of large-scale systems in a multiprocessor environment ⋮ Interconnection-based performance analysis for a class of decentralized controllers ⋮ Contractibility of overlapping decentralized control ⋮ Approximate optimal adaptive control for weakly coupled nonlinear systems: A neuro-inspired approach ⋮ A hybrid of the Newton-GMRES and electromagnetic meta-heuristic methods for solving systems of nonlinear equations ⋮ Decomposition and decentralized control of systems with multi-overlapping structure ⋮ Inexact overlapped block Broyden methods for solving nonlinear equations

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