双曲QR分解的新扰动界
New perturbation bounds for the hyperbolic QR factorization
矩阵的双曲QR分解为矩阵经典QR分解的推广,可以看作为由Sanja Singer与Sasa Singer提出的不定QR分解的三角情形。本文考虑了双曲QR分解的扰动分析,获得了一些范数型的一阶扰动界,其中两个扰动界与现存的结果相同,但比较而言,本文的推导过程更加简洁,其余的一些扰动界较大地改进了前面的两个扰动界。
he hyperbolic QR factorization is a generalization of the classical QR factorization, and can be regarded as the triangular case of the indefinite QR factorization proposed by Sanja Singer and Sasa Singer. In this paper, the perturbation analysis for the hyperbolic QR factorization is considered and some first order normwise perturbation bounds are derived. Two bounds of them are the same as the previous ones. In comparison, the derivation process in this paper is more concise. The other bounds improve these two bounds greatly.
李寒宇、杨虎、邵华
数学
数值代数双曲QR分解J-正交阵扰动界
Numerical algebraHyperbolic QR factorizationJ-orthogonal matrixPerturbation bound
李寒宇,杨虎,邵华.双曲QR分解的新扰动界[EB/OL].(2011-05-11)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201105-255.点此复制
评论