• DocumentCode
    1458674
  • Title

    Application of Higham-Cheng algorithm to the generalised eigenproblem in computational electromagnetics

  • Author

    Angiulli, G. ; Amendola, G. ; Di Massa, G.

  • Author_Institution
    Dipatimento di Inf. Matematica Electtronica e Trasporti, Univ. di Reggio Calabria, Italy
  • Volume
    37
  • Issue
    5
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    282
  • Lastpage
    283
  • Abstract
    The generalised eigenproblem Ax¯=λBx¯ is very often encountered in computational electromagnetics. Its solution is easily obtained when the matrices A and B are Hermitian and B is positive definite. However, the errors introduced by the discretisation process can deteriorate the properties of the matrices A and B in such a way that common techniques can no longer be used. The Higham-Cheng algorithm is proposed as a method to solve the generalised eigenproblem in these last cases. A brief account of the method is given and the algorithm is applied to two classical electromagnetic problems
  • Keywords
    Hermitian matrices; eigenvalues and eigenfunctions; electromagnetic field theory; Hermitian matrix; Higham-Cheng algorithm; computational electromagnetics; generalised eigenproblem; numerical discretisation;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20010196
  • Filename
    911953
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1458674