Numerical stability of a cyclic adi iteration

DOI10.1080/00207169008803868zbMath0707.65018OpenAlexW2011783577MaRDI QIDQ3489355

Adam T. Zawilski

Publication date: 1990

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803868

zbMATH Keywords

stabilityrate of convergencenumerical examplesround-off errorADI methodcyclic alternating directions implicit iterative methodinexact computer arithmetic

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Related Items (1)

Optimal bounds for round-off errors in the cyclic peaceman-rachford iteration

Cites Work

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• A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method
• Application of the AGE algorithm to the SLOR and ADI methods
• The modified alternating group explicit (M.A.G.E.) method
• Round-off error analysis of iterations for large linear systems
• ADI as a Preconditioning for Solving the Convection-Diffusion Equation
• Alternating-Direction Incomplete Factorizations
• Optimal bounds for round-off errors in the cyclic peaceman-rachford iteration

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