Practical Quasi-newton Methods for Solving Nonlinear Systems

@inproceedings{Jos2000PracticalQM,
  title={Practical Quasi-newton Methods for Solving Nonlinear Systems},
  author={Jos and Mario Mart},
  year={2000}
}
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

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