Broyden’s Method for a Class of Problems Having Singular Jacobian at the Root

This publication has 11 references indexed in Scilit:

• A New Acceleration Method for Newton’s Method at Singular Points
  SIAM Journal on Numerical Analysis, 1983
• Sublinear convergence of the Chord method at singular points
  Numerische Mathematik, 1983
• Convergence Rates for Newton’s Method at Singular Points
  SIAM Journal on Numerical Analysis, 1983
• Geometrically Isolated Nonisolated Solutions and Their Approximation
  SIAM Journal on Numerical Analysis, 1981
• Starlike domains of convergence for Newton's method at singularities
  Numerische Mathematik, 1980
• Newton’s Method at Singular Points. I
  SIAM Journal on Numerical Analysis, 1980
• Quasi-Newton Methods, Motivation and Theory
  SIAM Review, 1977
• A characterization of superlinear convergence and its application to quasi-Newton methods
  Mathematics of Computation, 1974
• On the Local and Superlinear Convergence of Quasi-Newton Methods
  IMA Journal of Applied Mathematics, 1973
• A class of methods for solving nonlinear simultaneous equations
  Mathematics of Computation, 1965