• DocumentCode
    1369586
  • Title

    Factorization of high degree polynomials-a numerical solution

  • Author

    Chiang, David

  • Author_Institution
    DGX Audio Corp., Ronkonkoma, NY, USA
  • Volume
    43
  • Issue
    9
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    792
  • Lastpage
    794
  • Abstract
    An algorithm based on the least-squares solution for overdetermined linear equations is presented. It is shown that a general polynomial of 2M° can almost always be factored into two halves each with a degree M. Polynomials with odd degrees can be factored by introducing one extra zero root
  • Keywords
    filtering theory; least squares approximations; polynomials; cascaded filters; factorization; high degree polynomials; least-squares solution; numerical solution; overdetermined linear equations; Convolution; Costs; Delay; Digital filters; Digital signal processing; Equations; Finite impulse response filter; Manufacturing; Polynomials; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.536750
  • Filename
    536750
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1369586