Several new methods for solving equations
From MaRDI portal
Publication:3811596
DOI10.1080/00207168808803622zbMath0661.65048OpenAlexW2056649547MaRDI QIDQ3811596
Publication date: 1988
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207168808803622
convergencebibliographycomputational efficiencyefficiency indexone-point iterative methods of fixed point type of order three
Related Items (10)
Sixteenth-order method for nonlinear equations ⋮ Some modification of Newton's method by the method of undetermined coefficients ⋮ High order algorithms for approximatingnth roots ⋮ A multidimensional generalization of some classes of iterative methods ⋮ Iterative methods for solving nonlinear equations with finitely many roots in an interval ⋮ Interpolatory multipoint methods with memory for solving nonlinear equations ⋮ A new optimal eighth-order family of iterative methods for the solution of nonlinear equations ⋮ A new sixth-order scheme for nonlinear equations ⋮ Certain improvements of Newton's method with fourth-order convergence ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on King's fifth-order family of methods for solving equations
- Sixth order methods for solving equations
- A note on King's method F for finding a bracketed root
- On the global convergence of Halley's iteration formula
- A comparison of non-linear equation solvers
- Methods without secant steps for finding a bracketed root
- A family of root finding methods
- Generalizzazione del metodo di Laguerre
- Un metodo iterativo non stazionario per la risoluzione di equazioni algebriche
- On optimum root-finding algorithms
- Optimal iterative processes for root-finding
- Newtonian approximations to a zero of a function
- Roots of equations by functional iteration
- Generalizations of Laguerre’s Method: Higher Order Methods
- On the Calculation of the Roots of Equations
- A Method for Solving Algebraic Equations Using an Automatic Computer
- Solution of non-linear equations
- Finding Zeros of Arbitrary Functions
- On a class of iteration formulas and some historical notes
- A Numerical Method for Solving Scalar Equations
- A new family of higher order methods for solving equations
- A family of one-point iteration formulae for finding roots
- On a family of multipoint methods for non-linear equations
- A note on neta's family of sixth-order methods for solving equations
- Method of parabolic approximation for solving the equationX=F(X)
- A higher order method for multiple zeros of nonlinear functions
- The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
- A Note on the Asymptotic Error Constant of a Certain Method for Solving Equations
- Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function
- Optimal Order and Efficiency for Iterations with Two Evaluations
- Root determination by use of Padé approximants
- A sixth-order family of methods for nonlinear equations
- XII.—Further Numerical Studies in Algebraic Equations and Matrices
- Optimal Order of One-Point and Multipoint Iteration
- Multipoint Iterative Methods for Solving Certain Equations
- A Rational Iteration Function for Solving Equations
- A bracketing technique for computing a zero of a function
- Some efficient fourth order multipoint methods for solving equations
- Iterative methods of determining the roots of equations more accurately
- An algorithm with guaranteed convergence for finding a zero of a function
- A fifth-order family of modified Newton methods
- 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
- A Family of Fourth Order Methods for Nonlinear Equations
- Haley's Methods for Solving Equations
- Solution of Equations by Interpolation
- A Type of Variation on Newton's Method
- A form of Newton’s method with cubic convergence
- The Solution of Algebraic and Transcendental Equations by Iteration
- Über eine Verallgemeinerung des Newtonschen Näherungsverfahrens
- Tangent Triangles to a Biquadratic Curve
- On Certain Formulae for Numerical Approximation
- A Method for Finding Roots of Algebraic Equations
- Mean Deviation of the Binomial Distribution
- Technical Notes and Short Papers
This page was built for publication: Several new methods for solving equations
