FAST AND STABLE ALGORITHMS FOR COMPUTING THE PRINCIPAL SQUARE ROOT OF A COMPLEX MATRIX.

被引:16
|
作者
Shieh, Leang S. [1 ]
Lian, Sui R. [1 ]
McInnis, Bayliss C. [1 ]
机构
[1] Univ of Houston, TX, USA, Univ of Houston, TX, USA
关键词
CONTROL SYSTEMS - Mathematical Models - SYSTEM STABILITY;
D O I
10.1109/TAC.1987.1104721
中图分类号
学科分类号
摘要
The authors present recursive algorithms that are rapidly convergent and more stable for finding the principal square root of a complex matrix. Also, the developed algorithms are utilized to derive fast and stable matrix sign algorithms, which are useful in developing applications to control system problems.
引用
收藏
页码:820 / 822
相关论文
共 50 条
  • [1] FAST AND STABLE ALGORITHMS FOR COMPUTING THE PRINCIPAL SQUARE ROOT OF A COMPLEX MATRIX
    SHIEH, LS
    LIAN, SR
    MCINNIS, BC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (09) : 820 - 822
  • [2] FAST AND STABLE ALGORITHMS FOR COMPUTING THE PRINCIPAL NTH ROOT OF A COMPLEX MATRIX AND THE MATRIX SECTOR FUNCTION
    TSAI, JSH
    SHIEH, LS
    YATES, RE
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1988, 15 (11) : 903 - 913
  • [3] A Numerical Method for Computing the Principal Square Root of a Matrix
    Soleymani, F.
    Shateyi, S.
    Haghani, F. Khaksar
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] Blocked Schur Algorithms for Computing the Matrix Square Root
    Deadman, Edvin
    Higham, Nicholas J.
    Ralha, Rui
    APPLIED PARALLEL AND SCIENTIFIC COMPUTING (PARA 2012), 2013, 7782 : 171 - 182
  • [5] Fast and accurate approximation algorithms for computing floating point square root
    Kokosinski, Zbigniew
    Gepner, Pawel
    Moroz, Leonid
    Samotyy, Volodymyr
    Wegrzyn, Mariusz
    Gavkalova, Nataliia
    NUMERICAL ALGORITHMS, 2024,
  • [6] Adaptive algorithms for computing the principal Takagi vector of a complex symmetric matrix
    Che, Maolin
    Qiao, Sanzheng
    Wei, Yimin
    NEUROCOMPUTING, 2018, 317 : 79 - 87
  • [7] Fast Differentiable Matrix Square Root and Inverse Square Root
    Song, Yue
    Sebe, Nicu
    Wang, Wei
    arXiv, 2022,
  • [8] Fast Differentiable Matrix Square Root and Inverse Square Root
    Song, Yue
    Sebe, Nicu
    Wang, Wei
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2023, 45 (06) : 7367 - 7380
  • [9] A note on computing the matrix square root
    Iannazzo, B
    CALCOLO, 2003, 40 (04) : 273 - 283
  • [10] A note on computing the matrix square root
    B. Iannazzo
    CALCOLO, 2003, 40 : 273 - 283