On the behavior of the secant method near a multiple root

DOI10.1007/BF01932679zbMath0232.65042OpenAlexW2084449076MaRDI QIDQ5640660

Terje O. Espelid

Publication date: 1972

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932679

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (4)

Derivative free multipoint iterative methods for simple and multiple roots ⋮ An improved method for finding multiple roots and it's multiplicity of nonlinear equations in \(\mathbb R\) ⋮ A cubically convergent iteration method for multiple roots off(x)=0 ⋮ A secant method for multiple roots

Cites Work

• Convergence of the Newton process to multiple solutions
• On types of convergence and on the behavior of approximations in the neighborhood of a multiple root of an equation
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