• DocumentCode
    869200
  • Title

    How to solve a quadratic equation. Part 2

  • Author

    Blinn, James F.

  • Volume
    26
  • Issue
    2
  • fYear
    2006
  • Firstpage
    82
  • Lastpage
    87
  • Abstract
    We derived an algorithm to find the real roots of the homogeneous quadratic equation, Ax2+2Bxw+Cw2=0. Because the equation is homogeneous, a root consists of an [x, w] pair where any nonzero multiple represents the same root. We strove to find an algorithm that didn´t blow up no matter what values of A, B, and C we were given, including various combinations of zeroes. At the end of the article the author wrote the final algorithm in tabular form.
  • Keywords
    computational geometry; equations; mathematics computing; quadratic programming; homogeneous quadratic equation; real root; tabular form; Chromium; Equations; Stability; Standards publication; Switches; quadratic equations; Algorithms; Computer Graphics; Mathematics; Numerical Analysis, Computer-Assisted;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/MCG.2006.35
  • Filename
    1607926