Solving nonlinear integral equations arising in radiative transfer
- 1 January 1999
- journal article
- research article
- Published by Informa UK Limited in Numerical Functional Analysis and Optimization
- Vol. 20 (7), 661-673
- https://doi.org/10.1080/01630569908816917
Abstract
The super-Halley method is, in general, an iterative process with order of convergence three. In this paper we study this method in Banach spaces and we prove that the method converges with order four when it is applied to quadratic equations. Consequently, for this type of equations, the application of the super-Halley iteration could be of practical interest, aswe show in some examples: integral equations arising in radiative transfer.Keywords
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