吉林大学学报(理学版)2016,Vol.54Issue(4):725-731,7.DOI:10.13413/j.cnki.jdxblxb.2016.04.09
矩阵加权 QR 分解的一阶扰动界
First Order Perturbation Bound for Matrix Weighted QR Factorization
摘要
Abstract
We discussed the perturbation analysis for the weighted QR factorization by using the classical matrix equation method,the refined matrix equation method and the matrix-vector equation method,and obtained the first-order normwise perturbation bounds with normwise perturbations.关键词
加权 QR 分解/范数型扰动/一阶扰动界/矩阵-向量方程方法Key words
weighted QR factorization/normwise perturbation/first-order perturbation bound/matrix-vector equation method分类
数学引用本文复制引用
吕鹏,李寒宇..矩阵加权 QR 分解的一阶扰动界[J].吉林大学学报(理学版),2016,54(4):725-731,7.基金项目
国家自然科学基金(批准号:11201507)和中央高校基本科研业务费专项基金(批准号:106112015CDJXY100003) (批准号:11201507)