• DocumentCode
    930681
  • Title

    On the construction of Gaussian quadrature rules for inverting the Laplace transform

  • Author

    Luvison, Angelo

  • Author_Institution
    CSELT, Turin, Italy
  • Volume
    62
  • Issue
    5
  • fYear
    1974
  • fDate
    5/1/1974 12:00:00 AM
  • Firstpage
    637
  • Lastpage
    638
  • Abstract
    Some properties of a set of orthogonal polynomials that play a key role in the numerical inversion of the Laplace transform are emphasized. These properties are exploited in showing that the inversion can be obtained by means of the eigenvalues and first component of the eigenvectors of a tridiagonal matrix related to the polynomials.
  • Keywords
    Control systems; Convergence; Eigenvalues and eigenfunctions; Gaussian processes; Laplace equations; Polynomials; System analysis and design;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1974.9487
  • Filename
    1451417