On a cubically convergent derivative-free root finding method
From MaRDI portal
Publication:5297941
DOI10.1080/00207160701223102zbMath1118.65043OpenAlexW2028208654MaRDI QIDQ5297941
Miodrag S. Petković, Ljiljana D. Petković
Publication date: 16 July 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160701223102
comparison of methodsnumerical examplesconvergence accelerationHalley's methodGauss-Seidel methodpolynomial zerossimultaneous methodssingle-step methodzero-finding methodsWeierstrass' correction
Related Items (4)
On the convergence of the sequences of Gerschgorin-like disks ⋮ On the guaranteed convergence of new two-point root-finding methods for polynomial zeros ⋮ On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial ⋮ On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method
Cites Work
- Unnamed Item
- Unnamed Item
- A parallel algorithm for simple roots of polynomials
- On the convergence of the sequences of Gerschgorin-like disks
- On Euler-like methods for the simultaneous approximation of polynomial zeros
- A family of simultaneous zero-finding methods
- An iteration formula for the simultaneous determination of the zeros of a polynomial
- An improvement on Nourein's method for the simultaneous determination of the zeroes of a polynomial. (An algorithm)
- Safe convergence of simultaneous methods for polynomial zeros
- Some simultaneous iterations for finding all zeros of a polynomial with high order convergence
- A bibliography on roots of polynomials
- Iterative methods for simultaneous inclusion of polynomial zeros
- The theory of Smale's point estimation and its applications
- On initial conditions for the convergence of simultaneous root finding methods
- On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials
- Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
- Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
- The fundamental theorem of algebra and complexity theory
- Convergence of Newton’s method and inverse function theorem in Banach space
- A modified Newton method for polynomials
- Point estimation of simultaneous methods for solving polynomial equations: A survey
This page was built for publication: On a cubically convergent derivative-free root finding method