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  A Strong and Easily Computable Separation Bound for Arithmetic Expressions Involving Radicals

Burnikel, C., Fleischer, R., Mehlhorn, K., & Schirra, S. (2000). A Strong and Easily Computable Separation Bound for Arithmetic Expressions Involving Radicals. Algorithmica, 27(1), 87-99. doi:10.1007/s004530010005.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-333A-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002B-521B-8
Genre: Journal Article

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Mehlhorn127.pdf (Publisher version), 82KB
 
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Burnikel, Christoph1, Author           
Fleischer, Rudolf1, Author           
Mehlhorn, Kurt1, Author           
Schirra, Stefan1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We consider arithmetic expressions over operators + , - , * , / , and $\sqrt[k]$ , with integer operands. For an expression E having value $\xi$ , a separation bound sep (E) is a positive real number with the property that $\xi\neq$ 0 implies $|\xi | \geq$ sep (E) . We propose a new separation bound that is easy to compute and stronger than previous bounds.

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Language(s): eng - English
 Dates: 2008-01-032000
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 344440
Other: Local-ID: C1256428004B93B8-409CB75A92466C67C12568B00038A834-BFMS2000
DOI: 10.1007/s004530010005
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Title: Algorithmica
Source Genre: Journal
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Pages: - Volume / Issue: 27 (1) Sequence Number: - Start / End Page: 87 - 99 Identifier: ISSN: 0178-4617