Abstract
After the introduction basic properties of interval arithmetic are discussed and different approaches are repeated by which one can compute verified numerical approximations for a solution of a nonlinear equation.
Citation
Goetz Alefeld. "Verified Numerical Computation for Nonlinear Equations." Japan J. Indust. Appl. Math. 26 (2-3) 297 - 315, October 2009.
Information
Published: October 2009
First available in Project Euclid: 1 February 2010
zbMATH: 1186.65056
MathSciNet: MR2589477
Keywords:
fixed point iteration
,
Newton-like methods
,
nonsmooth equation
Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics
