Practical Quasi-newton Methods for Solving Nonlinear Systems

  title={Practical Quasi-newton Methods for Solving Nonlinear Systems},
  author={Jos and Mario Mart},
Practical quasi-Newton methods for solving nonlinear systems are surveyed. The deenition of quasi-Newton methods that includes New-ton's method as a particular case is adopted. However, especial emphasis is given to the methods that satisfy the secant equation at every iteration, which are called here, as usually, secant methods. The least-change secant update (LCSU) theory is revisited and convergence results of methods that do not belong to the LCSU family are discussed. The family of methods… CONTINUE READING


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 98 references

A derivative-free line search and global convergence of Broyden-like method for nonlinear equations

  • D H Li, M Fukushima
  • A derivative-free line search and global…
  • 1999

Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations

  • L Luk San, J Vl Cek
  • Optimization Methods and Software
  • 1998

Direct search algorithms for optimization calculations

  • M J D Powell
  • Acta Numerica
  • 1998

Parameter selection for Inexact Newton method, Nonlinear Analysis

  • Z Lu Zanin, N Kreji C, D Herceg
  • Parameter selection for Inexact Newton method…
  • 1997

A numerical study on large-scale nonlinear solvers

  • M A Gomes{ruggiero, D N Kozakevich, J M Mart Nez
  • Computers and Mathematics with Applications 32
  • 1996

Similar Papers

Loading similar papers…