We present a weighted perturbation analysis for the projection of a pointonto an affine set. Consider the weighted minimization problem: =minare Hermitian positive definite matrices of order mand n, respectively. When...
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We present a weighted perturbation analysis for the projection of a pointonto an affine set. Consider the weighted minimization problem: =minare Hermitian positive definite matrices of order mand n, respectively. When A,b and p are perturbed, the error bounds for the solu-tion x’ in two cases ) b e R(A) and b R(A), are obtained. These results extendthe main theorems given in the references [3 - 5, 7, 9, 13 18].
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