A note on the perturbation analysis for the generalized Cholesky factorization

作者：Li Hanyu^*; Yang Hu; Shao Hua

来源：Applied Mathematics and Computation, 2010, 215(11): 4022-4027.

DOI：10.1016/j.amc.2009.12.009

• Generalized Cholesky factorization
• Symmetric quasidefinite matrix
• Perturbation bound

In this note, we consider the perturbation analysis for the generalized Cholesky factorization further. The conditions for the main theorems of the paper [W.-G. Wang, J.-X. Zhao, Perturbation analysis for the generalized Cholesky factorization, Appl. Math. Comput. 147 (2004) 601-606] are weakened by using an alternative method. Moreover, some new perturbation bounds are also derived.

• 出版日期2010-2-1
• 单位重庆大学; 重庆科技学院