Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method

Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method

<p>In this thesis we present two new advancements in verified scientific computing using interval analysis:</p> <p>1. The Corner Taylor Form (CTF) interval extension. The CTF is the first interval extension for multivariate polynomials that guarantees smaller excess width than t...

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Bibliographic Details
Main Author: Gavriliu, Marcel
Format: Others
Language:en
Published: 2005
Online Access:https://thesis.library.caltech.edu/2393/1/thesis.pdf
Gavriliu, Marcel (2005) Towards More Efficient Interval Analysis: Corner Forms and a Remainder Interval Newton Method. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/C196-9R88. https://resolver.caltech.edu/CaltechETD:etd-06022005-174844 <https://resolver.caltech.edu/CaltechETD:etd-06022005-174844>

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