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Improved Arithmetic of Complex Fans

Published:20 April 2021Publication History
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Abstract

Complex fans are sets of complex numbers whose magnitudes and angles range in closed intervals. The fact that the sum of two fans is a disordered shape gives rise to the need for computational methods to find the minimal enclosing fan. Cases where the sum of two fans contains the origin of the complex plane as a boundary point are of special interest. The result of the addition is then enclosed by circles in current methods, but under certain circumstances this turns out to be an overestimate. The focus of this article is the diagnosis and treatment of such cases.

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  1. Improved Arithmetic of Complex Fans

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          cover image ACM Transactions on Mathematical Software
          ACM Transactions on Mathematical Software  Volume 47, Issue 2
          June 2021
          243 pages
          ISSN:0098-3500
          EISSN:1557-7295
          DOI:10.1145/3459727
          Issue’s Table of Contents

          Copyright © 2021 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 20 April 2021
          • Accepted: 1 November 2020
          • Revised: 1 July 2020
          • Received: 1 January 2020
          Published in toms Volume 47, Issue 2

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