An edition of Two improved algorithms (2005)

Two improved algorithms

complex multiplication and complex exponentiation.

Two improved algorithms
Iordan K. Iordanov, Iordan K. ...
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Last edited by WorkBot
January 24, 2010 | History
An edition of Two improved algorithms (2005)

Two improved algorithms

complex multiplication and complex exponentiation.

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.

Publish Date
Language
English
Pages
83

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Book Details


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

Pagination
83 leaves.
Number of pages
83

Edition Identifiers

Open Library
OL19216535M
ISBN 10
049407180X

Work Identifiers

Work ID
OL12683351W

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