• DocumentCode
    802754
  • Title

    Derivative operations on matrices

  • Author

    Vetter, W.J.

  • Author_Institution
    University of Waterloo, Waterloo, Ontario, Canada
  • Volume
    15
  • Issue
    2
  • fYear
    1970
  • fDate
    4/1/1970 12:00:00 AM
  • Firstpage
    241
  • Lastpage
    244
  • Abstract
    The structure of a matrix derivative on a matrix valued function is defined. Matrix product and chain rules are developed which provide significant simplifications for obtaining derivatives of compound matrix structures, and some closed-form structures for Taylor´s expansions of a matrix in terms of derivatives and elements of a second matrix are given.
  • Keywords
    Matrix functions; Automatic control; Control systems; Councils; Delay systems; Equations; History; Linear systems; Matrices; Nonlinear control systems; Optimal control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099409
  • Filename
    1099409
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=802754