Iterative Methods for Nonlinear Equations
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Scope of this subject
This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots.
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Research vocabulary
nonlinear equations; root finding; nonlinear systems of equations; local convergence; convergence order; derivative-free methods; semilocal convergence; Newton-type methods; secant method; multiple roots; fourth-order convergence; efficiency index; nonlinear operator equations; nonlinear equation solving; root-finding methods; numerical solution of equations; high-order convergence; nonlinear solvers; modified Newton method; cubic convergence; inexact Newton method; third-order convergence; eighth-order convergence; Halley's method; sixth-order convergence
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Morton address: 38351274962201657 · morton4x16-v1
Coordinates: (3, 26, 2612, 12661). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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