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Mathematics of Computation

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A termination criterion for iterative methods used to find the zeros of polynomials

Author: Masao Igarashi
Journal: Math. Comp. 42 (1984), 165-171
MSC: Primary 65H05; Secondary 65G99
MathSciNet review: 725991
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Abstract: A new criterion for terminating iterations when searching for polynomial zeros is described. This method does not depend on the number of digits in the mantissa; moreover, it can be used to determine the accuracy of the resulting zeros. Examples are included.

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Keywords: Algebraic equation, zeros of polynomials, round-off errors
Article copyright: © Copyright 1984 American Mathematical Society