• DocumentCode
    819829
  • Title

    Closed-form expressions for matrix functions (including e^{At} )

  • Author

    Muralidharan, R.

  • Author_Institution
    Harvard University, Cambridge, MA, USA
  • Volume
    20
  • Issue
    5
  • fYear
    1975
  • fDate
    10/1/1975 12:00:00 AM
  • Firstpage
    705
  • Lastpage
    707
  • Abstract
    In this technical note, we develop closed-form expressions for f(A) where A is any constant n \\times n matrix and f(\\lambda ) is any analytic function in a region containing the eigenvalues λiof A, i = 1,2, ..., n . The matrix A may have nondistinct eigenvalues.
  • Keywords
    Matrix functions; Closed-form solution; Eigenvalues and eigenfunctions; Physics; Polynomials; Symmetric matrices; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1101069
  • Filename
    1101069
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=819829