Perturbation analysis for the generalized Cholesky factorization
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摘要
Let K be a symmetric indefinite matrix. Suppose that K=LJLT 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.
论文关键词:Generalized Cholesky factorization,Perturbation bounds,Augmented matrix
论文评审过程:Available online 19 February 2003.
论文官网地址:https://doi.org/10.1016/S0096-3003(02)00798-1