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Root neighborhoods of a polynomial. (English) Zbl 0598.65023

The influence of round-off in the computation of roots of polynomials may be treated by the concept of condition numbers or as a continuity problem. Here the latter one is used, and Wilkinson’s example is discussed.
Reviewer: D.Braess

MSC:

65H05 Numerical computation of solutions to single equations
65G50 Roundoff error
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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