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Rates of convergence of a one-dimensional search based on interpolating polynomials

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Publication:1245151
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DOI10.1007/BF00933226zbMath0373.90063MaRDI QIDQ1245151

K. Appert

Publication date: 1979

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Nonlinear programming (90C30) Search theory (90B40) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)


Related Items (4)

A nonquadratic one dimensional interpolation method for optimization ⋮ A derivative-free bracketing scheme for univariate minimization ⋮ A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method ⋮ Measuring rates of convergence of numerical algorithms



Cites Work

  • Line Search Techniques Based on Interpolating Polynomials using Function Values Only
  • A Rapidly Convergent Descent Method for Minimization
  • Function minimization by conjugate gradients
  • Extension of Davidon’s Variable Metric Method to Maximization Under Linear Inequality and Equality Constraints
  • On Differentiating Error Terms
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