Methods without secant steps for finding a bracketed root

DOI10.1007/BF02252259zbMath0332.65028OpenAlexW170504220MaRDI QIDQ1228179

R. F. King

Publication date: 1976

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252259

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (10)

Solution of constrained nonlinear equations in modelling the release of liquified gases ⋮ On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗) ⋮ Efficient polynomial root-refiners: a survey and new record efficiency estimates ⋮ Sixth order methods for solving equations ⋮ A note on King's method F for finding a bracketed root ⋮ Several new methods for solving equations ⋮ Improved bracketing parabolic method for numerical solution of nonlinear equations ⋮ On Enclosing Simple Roots of Nonlinear Equations ⋮ Some efficient methods for enclosing simple zeros of nonlinear equations ⋮ A common framework for modified regula falsi methods and new methods of this kind

Cites Work

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• A Method for Solving Algebraic Equations Using an Automatic Computer
• The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
• An algorithm with guaranteed convergence for finding a zero of a function
• A modified regula falsi method for computing the root of an equation
• The “Pegasus” method for computing the root of an equation
• A new high order method of regula falsi type for computing a root of an equation
• An improved pegasus method for root finding

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