• DocumentCode
    1116574
  • Title

    Optimal Piecewise Polynomial L2Approximation of Functions of One and Two Variables

  • Author

    Pavlidis, Theodosios

  • Author_Institution
    Department of Electrical Engineering, Princeton University
  • Issue
    1
  • fYear
    1975
  • Firstpage
    98
  • Lastpage
    102
  • Abstract
    The problem of piecewise polynomial L2 approximation with variable boundaries is considered. Necdssary and sufficient conditions for local optima are derived. These suggest simple functional iteration, algorithms for locating the boundaries.
  • Keywords
    L2 approximation, Newton´s method, piecewise polynomial approximation, variable boundary approximation, variable breakpoint approximation.; Computer aided software engineering; Equations; Newton method; Polynomials; Sufficient conditions; Symmetric matrices; Vectors; L2 approximation, Newton´s method, piecewise polynomial approximation, variable boundary approximation, variable breakpoint approximation.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1975.224088
  • Filename
    1672681
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1116574