Geometric interpretation of some Cauchy related methods

DOI10.1007/s00211-011-0383-2zbMath1235.65027OpenAlexW2062821291MaRDI QIDQ647366

Alain F. Berlinet, Christophe Roland

Publication date: 23 November 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0383-2

zbMATH Keywords

numerical examplesRichardson methoditerative solverssystems of linear equationsBarzilai-Borwein methodsteepest descent methodBézier parabolasCauchy-Barzilai-Borwein methodgeometric interpretation of iterative methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation ⋮ Geometric approach to the parallel sum of vectors and application to the vector \(\varepsilon \)-algorithm

Cites Work

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• On the Barzilai and Borwein choice of steplength for the gradient method
• Relaxed steepest descent and Cauchy-Barzilai-Borwein method

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