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This paper presents a constructive method which gives, for any polynomialF(Z) of the degreen, approximate values of all the roots ofF(Z).. The point of the ...
This paper presents a constructive method which gives, for any polynomial F(Z) of the degree n, approximate values of all the roots of F(Z).
It is shown that the set of solutions to $$\bar H$$ (Z, t) = 0 includesn distinct paths,m of which converges to a root ofF(Z) if and only if the root has ...
Oct 22, 2024 · This paper presents a constructive method which gives, for any polynomialF(Z) of the degreen, approximate values of all the roots ofF(Z).
A PL homotopy for finding all the roots of a polynomial. https://doi.org/10.1007/bf01582093 ·. Видання: Mathematical Programming, 1979, № 1, с. 37-62.
Mar 31, 2010 · Homotopy continuation method is good for finding all COMPLEX solutions to arbitrary accuracy, and it is implemented in the Numerical Algebraic ...
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A PL Homotopy for Finding All the Roots of a Polynomial,M.Kojima,H.Nishino and N.Arima. Mathematical Programming. DOI: 10.1007/BF01582093. Link information.
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Nov 26, 2015 · If p is an arbitrary polynomial of degree n, then p is homotopic to f via the homotopy that sends all zeros to 0. Can't understand what this means.
This paper presents a continuation method for finding all solutions to polynomial systems. It features a simpler homotopy than has been previously published.
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Feb 20, 2013 · If you need to find all of the roots of an arbitrary polynomial, the Jenkins-Traub algorithm is easily the best, both in terms of efficiency and robustness.
Missing: PL | Show results with:PL