Sublinear convergence of the chord method at singular points

DOI10.1007/BF01395307zbMath0571.65045OpenAlexW2036618116MaRDI QIDQ1061453

Dwight W. Decker, Carl. T. Kelley

Publication date: 1983

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132867

zbMATH Keywords

singular pointsBanach spaceNewton methodsublinear convergencechord method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Practical quasi-Newton algorithms for singular nonlinear systems, Acceleration methods for vector sequences, Extrapolation methods for some singular fixed point sequences, Stability of singular equilibria in quasilinear implicit differential equations, Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs, Numerical methods for nonlinear equations, Discretization of implicit ODEs for singular root-finding problems, Newton's Method in Mixed Precision

Cites Work

• Unnamed Item
• Starlike domains of convergence for Newton's method at singularities
• Newton's method and high order singularities
• Convergence Rates for Newton’s Method at Singular Points
• Newton’s Method at Singular Points. I
• Newton’s Method for Singular Problems when the Dimension of the Null Space is $>1$
• Newton’s Method at Singular Points. II
• Convergence Acceleration for Newton’s Method at Singular Points
• On Newton’s Method for Singular Problems
• Rates of Convergence for Conditional Gradient Algorithms Near Singular and Nonsingular Extremals