Perturbation analysis for the generalized Cholesky factorization

نویسندگان

  • Wei-guo Wang
  • Jin-xi Zhao
چکیده

Let K be a symmetric indefinite matrix. Suppose that K 1⁄4 LJL is the generalized Cholesky factorization of K. In this paper we present perturbation analysis for the generalized Cholesky factorization. We obtain the first-order bound on the norm of the perturbation in the generalized Cholesky factor. Also, we give rigorous perturbation bounds. 2002 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 147  شماره 

صفحات  -

تاریخ انتشار 2004