On the optimal complex extrapolation of the complex Cayley transform

DOI10.1016/j.laa.2008.08.010zbMath1190.65051OpenAlexW2021258026WikidataQ112882164 ScholiaQ112882164MaRDI QIDQ959865

Apostolos Hadjidimos, Michael Tzoumas

Publication date: 12 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.08.010

zbMATH Keywords

spectral radiusextrapolationconvex hullCayley transformMöbius transformationcapturing circleHermitian/Skew-Hermitian splittingvisibility angle

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear transformations, semilinear transformations (15A04)

Related Items (2)

The saddle point problem and the Manteuffel algorithm ⋮ Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix

Cites Work

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• On the equivalence of extrapolation and Richardson's iteration and its applications
• The principle of extrapolation and the Cayley transform
• Richardson's iteration for nonsymmetric matrices
• The optimal solution to the problem of complex extrapolation of a first- order scheme
• Alternative techniques for solving systems of nonlinear equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• The optimal solution of the extrapolation problem of a first order scheme
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• On the Cayley transform of positivity classes of matrices

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