A unified approach to method for the simultaneous computation of all zeros of generalized polynomials

DOI10.1007/BF01403894zbMath0636.65045OpenAlexW1967567870MaRDI QIDQ1098235

Andreas Frommer

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133307

zbMATH Keywords

Newton's methodnumerical examplesquadratic convergencegeneralized polynomialsHaar's conditionsimultaneous computation of all zeros

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items

On a class of higher order methods for simultaneous rootfinding of generalized polynomials, Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding, Failure of convergence of the Newton-Weierstrass iterative method for simultaneous rootfinding of generalized polynomials, Overdetermined Weierstrass iteration and the nearest consistent system, Relations between roots and coefficients, interpolation and application to system solving, Partial fraction decomposition in \(\mathbb{C}(z)\) and simultaneous Newton iteration for factorization in \(\mathbb{C}^{[z}\)], On some interval methods for algebraic, exponential and trigonometric polynomials, Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems, A note on simultaneous rootfinding for algebraic, exponential, and trigonometric polynomials

Cites Work

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