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DOI QR Code

THE NEW ALGORITHM FOR $LDL^T$ DECOMPOSITION OF BLOCK HANKEL MATRICES

  • Bao, Wendi (School of Mathematical Sciences, Nanjing Normal University) ;
  • Lv, Zhongquan (School of Mathematical Sciences, Nanjing Normal University)
  • Received : 2010.07.10
  • Accepted : 2010.10.18
  • Published : 2011.05.30

Abstract

In this paper, with use of the displacement matrix, two special matrices are constructed. By these special matrices the block decompositions of the block symmetric Hankel matrix and the inverse of the Hankel matrix are derived. Hence, the algorithms according to these decompositions are given. Furthermore, the numerical tests show that the algorithms are feasible.

Keywords

References

  1. N. B. Atti, G. M. Toca, lock diagonalization and LU-equivalence of Hankel matrices, Linear Algebra Appl. 412 (2006), 247-269. https://doi.org/10.1016/j.laa.2005.06.029
  2. S. Belhaj, Computing the block factorization of complex Hankel matrices, Computing 87(2010), 169-186. https://doi.org/10.1007/s00607-010-0080-5
  3. K. Browne, S. Z. Qiao, Y. M. Wei, A Lanczos bidiagonalization algorithm for Hankel matrices. Linear Algebra Appl. 430 (2009), 1531-1543. https://doi.org/10.1016/j.laa.2008.01.012
  4. J. Chun, T. Kailath, Displacement structure for Hankel, Vandermonde, and re- lated(derived) matrices, Linear Algebra Appl. 151(1991), 199-277.
  5. Z. J. Yuan, Z. Xu, Q. Lu, Improvement on the fast algorithm for triangular decomposition of Hankel matrix and its inverse matrix, Chinese Journal of Engineering Mathematics 23(2006), 685-690.