Perturbation for the Generalized Bott-Duffin Inverse
Guo Liu
Abstract
Guo Liu
Abstract
A Perturbation theory for the generaiized Bott-Duffin inverse A (+) (L) of A with respect to a subspace L is developed. Meanwhile this paper defines the generalized Bott-Duffin condition number K gBD (A)=‖A‖·A (+) (L) .
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A Perturbation theory for the generaiized Bott-Duffin inverse A (+) (L) of A with respect to a subspace L is developed. Meanwhile this paper defines the generalized Bott-Duffin condition number K gBD (A)=‖A‖·A (+) (L) .
Key concepts: Inverse, Perturbation (astronomy), Subspace topology, Mathematics, Perturbation theory (quantum mechanics), Inverse problem, Applied mathematics, Mathematical analysis