Improvement of a convergence condition for Durand-Kerner iteration
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Publication:1298639
DOI10.1016/S0377-0427(98)00109-5zbMath0935.65047MaRDI QIDQ1298639
Publication date: 3 February 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
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Related Items (10)
On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros ⋮ Point estimation of simultaneous methods for solving polynomial equations: A survey. II. ⋮ A posteriori error bound methods for the inclusion of polynomial zeros ⋮ A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously ⋮ Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra ⋮ The convergence of a family of parallel zero-finding methods ⋮ Point estimation of simultaneous methods for solving polynomial equations: A survey ⋮ General convergence theorems for iterative processes and applications to the Weierstrass root-finding method ⋮ On the guaranteed convergence of new two-point root-finding methods for polynomial zeros ⋮ On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method
Cites Work
- Inclusion of the roots of a polynomial based on Gerschgorin's theorem
- An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations
- Weierstrass formula and zero-finding methods
- On initial conditions for the convergence of simultaneous root finding methods
- Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
- Simultaneous inclusion of the zeros of a polynomial
- A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem
- Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems
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