Accelerating the Convergence of Matrix Iterative Processes

DOI10.1093/imamat/8.1.99zbMath0221.65061OpenAlexW1970132544MaRDI QIDQ5626136

Alan Jennings

Publication date: 1971

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/8.1.99

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

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Some new methods for numerically solving the compressible laminar boundary layer equations ⋮ A faster modified Newton-Raphson iteration ⋮ A generalized Newton–Raphson method using curvature ⋮ An enhanced sequential fully implicit scheme for reservoir geomechanics ⋮ Alternating cyclic vector extrapolation technique for accelerating nonlinear optimization algorithms and fixed-point mapping applications ⋮ Computational methods of linear algebra ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Iterative residual-based vector methods to accelerate fixed point iterations ⋮ Optimal simultaneous maximuma posterioriestimation of states, noise statistics and parameters I. Algorithm ⋮ Optimal simultaneous maximuma posterioriestimation of states, noise statistics and parameters II. Numerical performance ⋮ Iteration schemes for improved convergence in boundary element reanalysis

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