Computing in the Field of Complex Algebraic Numbers -- from Wolfram Library Archive

Title

Computing in the Field of Complex Algebraic Numbers

Author

Adam Strzebonski

Organization:

Wolfram Research, Inc.

Department:

Kernel Technology

Journal / Anthology

Journal of Symbolic Computation

Year:

1997

Volume:

Issue:

Page range:

647-656

Description

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 equations, and compare implementations of both methods in Mathematica.

Subjects

	Mathematics > Algebra > Polynomials
	Mathematics > Calculus and Analysis > Complex Analysis

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