Journal of Optimization Theory and Applications

, Volume 83, Issue 3, pp 587–612 | Cite as

Quasi-Newton method by Hermite interpolation

  • T. F. Sturm
Contributed Papers


This paper describes a new attempt to solve the problem of computing a local minimizer of a sufficiently often differentiable unconstrained objective function. In every step of the iteration, a special Hermite interpolant is constructed. Old iteration points serve as points of support with the function value and gradient information. This yields a quasi-Newton algorithm with quadratic convergence order.

Key Words

Nonlinear unconstrained optimization Hermite interpolation quasi-Newton methods quadratic convergence 


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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • T. F. Sturm
    • 1
  1. 1.Institut für Angewandte Mathematik und StatistikTechnische Universität MünchenMünchenGermany

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