Directional Newton methods in $n$ variables

DOI10.1090/S0025-5718-01-01332-1zbMath0985.65049OpenAlexW2164526460MaRDI QIDQ2759095

Adi Ben-Israel, Yuri Levin

Publication date: 10 December 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01332-1

zbMATH Keywords

quadratic convergencedirectional Newton methodsystem of equationssingle equation in \(n\) variables

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

Related Items

The Newton Bracketing Method for Convex Minimization: Convergence Analysis ⋮ Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis ⋮ A new family of eighth-order iterative methods for solving nonlinear equations ⋮ Directional secant-type methods for solving equations ⋮ A convergence analysis for directional two-step Newton methods ⋮ The Newton bracketing method for the minimization of convex functions subject to affine constraints ⋮ Approximate methods for convex minimization problems with series-parallel structure ⋮ Directional secant method for nonlinear equations ⋮ A heuristic method for large-scale multi-facility location problems ⋮ Convergence of directional methods under mild differentiability and applications ⋮ A semilocal convergence analysis for directional Newton methods ⋮ Directional Chebyshev-type methods for solving equations

Cites Work

• A Newton-Raphson method for the solution of systems of equations
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