The condition of Steffensen's acceleration in several variables

DOI10.1016/0377-0427(94)00004-KzbMath0835.65074OpenAlexW2059429377MaRDI QIDQ1899958

Yves Nievergelt

Publication date: 15 April 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00004-k

zbMATH Keywords

convergencenumerical examplescondition numberfast algorithmAitken's accelerationSteffensen's accelerationsecant methods in several variables

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (3)

Accelerating convergence in minisum location problem with \(\ell p\) norms ⋮ Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from positron emission tomography ⋮ A tutorial history of least squares with applications to astronomy and geodesy

Cites Work

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• Recursive interpolation, extrapolation and projection
• Convergence acceleration methods: The past decade
• Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
• On inverses of Vandermonde and confluent Vandermonde matrices
• Some results about vector extrapolation methods and related fixed-point iterations
• The structured sensitivity of Vandermonde-like systems
• About Henrici's transformation for accelerating vector sequences
• Secant modification of Newton's method
• The Secant method for simultaneous nonlinear equations

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