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January 24, 2010 | History

Two improved algorithms 1 edition

Two improved algorithms
Iordan K. Iordanov

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Two improved algorithms
complex multiplication and complex exponentiation.

Published 2005 .
Written in English.

About the Book

The aim of thesis is to develop complex multiplication and exponentiation algorithms that compute results with low normwise and componentwise relative error. In the process, we develop a method of error analysis for complex functions. We correct complex multiplication efficiently using a technique for doubling the working precision and demonstrate that the algorithm is corrected. Next, we discover the underlying source of error in the standard algorithm for computing complex exponentiation, and show that the algorithm is not corrigible using working precision. A corrected algorithm using extended precision is developed, and an example implementation and testing are presented.

Edition Notes

Source: Masters Abstracts International, Volume: 44-02, page: 0934.

Advisor: T. Fairgrieve.

Thesis (M.Sc.)--University of Toronto, 2005.

Electronic version licensed for access by U. of T. users.

GERSTEIN MICROTEXT copy on microfiche (1 microfiche).

The Physical Object

83 leaves.
Number of pages

ID Numbers

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January 24, 2010 Edited by WorkBot add more information to works
December 11, 2009 Created by WorkBot add works page