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  • Unconstrained optimization  (2)
  • Springer  (2)
  • Royal Society
  • 1
    Electronic Resource
    Electronic Resource
    Generalized Polak-Ribière algorithm (1992)
    Springer
    Journal of optimization theory and applications 75 (1992), S. 345-354 
    Details
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; generalized Polak-Ribière algorithms ; inexact line searches
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new generalized Polak-Ribière conjugate gradient algorithm is proposed for unconstrained optimization, and its numerical and theoretical properties are discussed. The new method is, in fact, a particular type of two-dimensional Newton method and is based on a finite-difference approximation to the product of a Hessian and a vector.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00941472
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  • 2
    Electronic Resource
    Electronic Resource
    Efficient generalized conjugate gradient algorithms, part 1: Theory (1991)
    Springer
    Journal of optimization theory and applications 69 (1991), S. 129-137 
    Details
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; hybrid and restart conjugate gradient methods ; inexact line search
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The effect of inexact line search on conjugacy is studied in unconstrained optimization. A generalized conjugate gradient method based on this effect is proposed and shown to have global convergence for a twice continuously differentiable function with a bounded level set.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940464
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