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

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.

Key words: weighted QR factorization, normwise , perturbation, firstorder perturbation bound, matrixvector equation method