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Reduced Algebraic Numbers in the Complex Plane

✍ Scribed by J. Wolfskill

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
844 KB
Volume
48
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this paper a theory is developed which enables one to determine whether or not two algebraic numbers or two binary forms are equivalent over (Z[i]). This extends earlier work of the author from the real case. 1994 Academic Press, Inc.

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In this paper we present two methods of computing with complex algebraic numbers. The first uses isolating rectangles to distinguish between the roots of the minimal polynomial, the second method uses validated numeric approximations. We present algorithms for arithmetic and for solving polynomial e