• DocumentCode
    915436
  • Title

    Calculation of derivatives for parameter estimation

  • Author

    Brown, R.F.

  • Author_Institution
    University of New South Wales, School of Electrical Engineering, Kensington, Australia
  • Volume
    7
  • Issue
    25
  • fYear
    1971
  • Firstpage
    734
  • Lastpage
    735
  • Abstract
    A recent letter presents a simple method for the computation of the approximate Hessian ¿{¿¿k(¿)/¿¿}{¿¿k(¿)/¿¿}T of a cost function of the form ¿¿¿k2(¿), where ¿ is an m-dimensional vector of parameters. In this letter, it is pointed out that the method is applicable to more general cost functions of the form ¿Lk(¿), e.g. the quadratic form ¿¿vkT(¿) Q-1 vk(¿), where vk is an l-dimensional vector. Estimation of the initial state is readily included within the same framework.
  • Keywords
    differentiation; estimation theory; approximate Hessian of cost function computation; calculation of derivatives; differentiation; estimation theory; initial state estimation; parameter estimation;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19710503
  • Filename
    4235410