Numerically stable improved Chebyshev-Halley type schemes for matrix sign function

DOI10.1016/j.cam.2016.10.025zbMath1357.65047OpenAlexW2555207741MaRDI QIDQ507873

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.10.025

zbMATH Keywords

stabilityconvergenceeigenvaluesiterative methodsnumerical experimentmatrix sign functionChebyshev-Halley family

Mathematics Subject Classification ID

Related Items (5)

A general approach for improving the Padé iterations for the matrix sign function ⋮ Efficient homomorphic comparison methods with optimal complexity ⋮ Construction of stable and globally convergent schemes for the matrix sign function ⋮ New iterative methods for finding matrix sign function: derivation and application ⋮ A family of Newton-type iterative methods using some special self-accelerating parameters

Uses Software

• Mathematica
• mftoolbox

Cites Work

• Unnamed Item
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• The matrix sign function
• A Padé family of iterations for the matrix sign function and related problems
• Rational Iterative Methods for the Matrix Sign Function
• Functions of Matrices
• The Mathematica GuideBook for Numerics

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