Optimization and Nonlinear Equations

  title={Optimization and Nonlinear Equations},
  author={Gordon K. Smyth},
  • Gordon K. Smyth
  • Published 2005
  • Mathematics
  • Optimization means finding that argument which minimizes or maximizes a given function such as a likelihood function or a sum of squares. Many optimization algorithms are derived from algorithms that solve the nonlinear equations defined by setting the derivative of the objective function equal to zero. This article discusses a number of methods for unconstrained optimization, including bisection and golden search in the univariate case and Newton's method and quasi-Newton algorithms in the… CONTINUE READING

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