关于加权广义逆A_(MN)^+在F范数下的最优扰动界

Study on Optimal Perturbation Bounds of Weighted Generalized Inverse A_(MN)^+ under Frobenius Norm

利用加权奇异值分解技术和加权广义逆AMN+的性质,推广了有关文献关于广义逆A+在F范数下的最优扰动界的相关结论,分两种情况,给出了加权广义逆AMN+在F范数下的最优扰动界.

Based on the weighted singular value decomposition and properties of weighted generalized inverse A_（MN）~＋,conclusions in many documents about optimal perturbation bounds of generalized inverse A＋ were further introduced.Furthermore,from two aspects,the optimal perturbation bound of weighted generalized inverse A_（MN）~＋ under the Frobenius norm was analyzed and obtained.