A new simultaneous method of fourth order for finding complex zeros in circular interval arithmetic

DOI10.1016/S0377-0427(99)00375-1zbMath1010.65023MaRDI QIDQ5937194

Fangyu Sun, Peter Kosmol

Publication date: 12 July 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesiterative methodLagrange interpolationinterval arithmeticpolynomial complex zeros

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items (3)

A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously ⋮ On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity ⋮ Comments on some recent methods for the simultaneous determination of polynomial zeros

Cites Work

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• On some interval methods for algebraic, exponential and trigonometric polynomials
• Iterative methods for simultaneous inclusion of polynomial zeros
• On initial conditions for the convergence of simultaneous root finding methods
• 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
• Circular arithmetic and the determination of polynomial zeros
• 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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