Convergence Acceleration for Newton’s Method at Singular Points
From MaRDI portal
Publication:3943918
DOI10.1137/0719012zbMath0484.65038OpenAlexW2026697747MaRDI QIDQ3943918
Carl. T. Kelley, Dwight W. Decker
Publication date: 1982
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0719012
Newton's methodsingular pointsconvergence accelerationquadratic convergenceBanach spacequadrature methodsprojection operatorChandrasekhar integral equation
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator, Improved two-step Newton's method for computing simple multiple zeros of polynomial systems, Verified error bounds for isolated singular solutions of polynomial systems: case of breadth one, Newton-Anderson at Singular Points, Two-step Newton's method for deflation-one singular zeros of analytic systems, On iterative methods for the quadratic matrix equation with \(M\)-matrix, Iteration convergence speed estimation using the LIL, An accelerated Newton method for equations with semismooth jacobians and nonlinear complementarity problems, Stability of singular equilibria in quasilinear implicit differential equations, Analysis and modificaton of Newton’s method for algebraic Riccati equations, Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations, On isolation of simple multiple zeros and clusters of zeros of polynomial systems, Verified error bounds for singular solutions of nonlinear systems, Sublinear convergence of the chord method at singular points, On solving nonlinear least-squares problems in case of rankdeficient Jacobians, Local convergence analysis of tensor methods for nonlinear equations