Methods for the simultaneous approximate derivation of the roots of algebraic, trigonometric and exponential equations

DOI10.1016/0041-5553(82)90179-3zbMath0504.65029OpenAlexW2081493641MaRDI QIDQ4741652

Kh. I. Semerdzhiev, E. D. Angelova

Publication date: 1982

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(82)90179-3

zbMATH Keywords

numerical exampletrigonometric functionspolynomialsNewton iterationexponential functionscomplex zerosPade approximation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (9)

On a class of higher order methods for simultaneous rootfinding of generalized polynomials ⋮ On iteration methods without derivatives for the simultaneous determination of polynomial zeros ⋮ The Durand-Kerner method for trigonometric and exponential polynomials ⋮ A unified approach to method for the simultaneous computation of all zeros of generalized polynomials ⋮ The Durand-Kerner polynomials roots-finding method in case of multiple roots ⋮ Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding ⋮ 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

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