Some simultaneous iterations for finding all zeros of a polynomial with high order convergence
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Publication:1294297
DOI10.1016/S0096-3003(98)00009-5zbMath0930.65054OpenAlexW2095210218MaRDI QIDQ1294297
Publication date: 1 February 2000
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(98)00009-5
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Related Items (11)
On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros ⋮ On a cubically convergent derivative-free root finding method ⋮ A posteriori error bound methods for the inclusion of polynomial zeros ⋮ A high order iteration formula for the simultaneous inclusion of polynomial zeros ⋮ On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros ⋮ On the guaranteed convergence of the square-root iteration method ⋮ Construction of zero-finding methods by Weierstrass functions ⋮ A new method of increasing the order of convergence step by step ⋮ A new simultaneous method of fourth order for finding complex zeros in circular interval arithmetic ⋮ On the new fourth-order methods for the simultaneous approximation of polynomial zeros ⋮ On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial
Cites Work
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- An iteration formula for the simultaneous determination of the zeros of a polynomial
- On some interval methods for algebraic, exponential and trigonometric polynomials
- Iterative methods for simultaneous inclusion of polynomial zeros
- On iteration methods without derivatives for the simultaneous determination of polynomial zeros
- Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
- Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
- A modified Newton method for polynomials
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