TR-2014007: Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations
نویسنده
چکیده
Recently we proposed to extend the matrix sign classical iteration to the approximation of the real eigenvalues of a companion matrix of a polynomial and consequently to the approximation of its real roots. In our present paper we advance this approach further by combining it with the alternative square root iteration for polynomials and also show a variation using repeated squaring in polynomial algebra.
منابع مشابه
Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations
Univariate polynomial root-finding is a classical subject, still important for modern computing. Frequently one seeks just the real roots of a polynomial with real coefficients. They can be approximated at a low computational cost if the polynomial has no nonreal roots, but typically nonreal roots are much more numerous than the real ones. The subject of devising efficient real root-finders has...
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