广义Bott-Duffin逆的扰动界(英文)

Perturbation Bounds for the GeneralizedBott-Duffin Inverse

主要讨论广义B D逆的条件数及广义B D逆的扰动.介绍了一些概念与性质,讨论了广义B D逆的条件数,特别是用Frobenious范数表示的情况.最后讨论广B D义逆的扰动界,包括矩阵A的扰动和子空间L的扰动.

The classical normwise relative condition number measures the sensitivity of a matrix inverse and perturbation theory of the generalized BottDuffin (BD) inverse. It introduces some notations and properties of generalized BD inverse. It discusses the normwise relative condition number of the generalized BD inverse,especially which arise when the Fnorm is used. It discusses the general perturbation theories of the generalized BD inverse. This perturbation includes perturbation of matrix A and perturbation of subspace L.