Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?
نویسندگان
چکیده
منابع مشابه
Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?
Computing the roots of a scalar polynomial, or the eigenvalues of a matrix polynomial, expressed in the Chebyshev basis {Tk(x)} is a fundamental problem that arises in many applications. In this work, we analyze the backward stability of the polynomial rootfinding problem solved with colleague matrices. In other words, given a scalar polynomial p(x) or a matrix polynomial P (x) expressed in the...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2016
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3149