• DocumentCode
    1869161
  • Title

    A Matrix-Form LSQR Iterative Method for Solving the Second-Order Sylvester Matrix Equation EXF2+AXF+CX+BY=D

  • Author

    Li, Sheng-Kun

  • Author_Institution
    Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
  • fYear
    2010
  • fDate
    10-12 Dec. 2010
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, an iterative method is proposed to solve the second-order Sylvester matrix equation EXF2+AXF+CX+BY=D with unknown matrix pair [X, Y], based on a matrix form of LSQR algorithm. By this iterative method, we can obtain the minimum Frobenius norm solution pair or the minimum Frobenius norm least squares solution pair over some constrained matrices, such as symmetric, generalized bisymmetric and (R, S)-symmetric matrices.
  • Keywords
    iterative methods; least squares approximations; matrix algebra; bisymmetric matrix; constrained matrix; matrix form LSQR iterative method; minimum Frobenius norm least square solution; second order Sylvester matrix equation; Equations; Iterative algorithm; Iterative methods; Mathematical model; Sparse matrices; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-5391-7
  • Electronic_ISBN
    978-1-4244-5392-4
  • Type

    conf

  • DOI
    10.1109/CISE.2010.5676729
  • Filename
    5676729
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1869161