• DocumentCode
    336941
  • Title

    The condition number of certain matrices and applications

  • Author

    Ferreira, Paulo J S G

  • Author_Institution
    Dept. de Electron. e Telecoms, Aveiro Univ., Portugal
  • Volume
    4
  • fYear
    1999
  • fDate
    15-19 Mar 1999
  • Firstpage
    2043
  • Abstract
    This paper addresses the problem of estimating the eigenvalues and condition numbers of matrices of the form R=r(ti-tj). We begin by mentioning some of the problems in which such matrices occur, and to which the results obtained in this paper may be applied. Examples of such problems include (i) approximation by sums of irregular translates (ii) the missing data problem and incomplete sampling series. Then we describe the method for estimating the eigenvalues and the condition number. Some open issues are also discussed
  • Keywords
    approximation theory; eigenvalues and eigenfunctions; matrix algebra; series (mathematics); signal sampling; approximation; condition number; eigenvalues; incomplete sampling series; irregular translates; matrices; missing data problem; sums; Autocorrelation; Eigenvalues and eigenfunctions; Equations; Interpolation; Numerical stability; Prototypes; Sampling methods; Signal sampling; Telecommunications; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-5041-3
  • Type

    conf

  • DOI
    10.1109/ICASSP.1999.758331
  • Filename
    758331
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=336941