Simultaneous point estimates for Newton's method
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Publication:1864771
zbMath1020.65027MaRDI QIDQ1864771
Publication date: 19 September 2003
Published in: BIT (Search for Journal in Brave)
comparison of methodsNewton's methodNewton iterationpolynomial rootshomotopy methodssimultaneous methodspractical conditions for convergence
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)
Related Items (5)
Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros ⋮ On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity ⋮ Geometry of polynomials and root-finding via path-lifting ⋮ Globally convergent, iterative path-following for algebraic equations ⋮ Unified convergence analysis for Picard iteration in \(n\)-dimensional vector spaces
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