Perturbation Bounds for the GeneralizedBott-Duffin Inverse

Yu Xiao · Fudan xuebao. Ziran Kexue ban · 2003

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.

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