A class of Iteration functions for improving, simultaneously, approximations to the zeros of a polynomial
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Publication:4069691
DOI10.1007/BF01933657zbMath0311.65036MaRDI QIDQ4069691
No author found.
Publication date: 1975
Published in: BIT (Search for Journal in Brave)
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Cites Work
- Unnamed Item
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- A posteriori error bounds for the zeros of polynomials
- Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
- The evaluation of the zeros of ill-conditioned polynomials. I, II
- Circular arithmetic and the determination of polynomial zeros
- Roots of equations by functional iteration
- A Machine Method for Solving Polynomial Equations
- On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
- A modified Newton method for polynomials
- Certain modifications of Newton's method for the approximate solution of algebraic equations
- On Lehmer's Method for Finding the Zeros of a Polynomial
- Über eine Verallgemeinerung des Newtonschen Näherungsverfahrens