The Componentwise Distance to the Nearest Singular Matrix
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Bounds for the distance to the closest singular matrix are discussed: Different ways of extending estimates based on matrix norms, which put equal weight to all elements, with estimates based on perturbations relative to the element size are reported, and it is indicated that the perfect relative perturbation bound may be too expensive to compute.
distance to singularity, conditioning, matrix norms, perfect relative perturbation bound, Numerical computation of matrix norms, conditioning, scaling, singular value decomposition, distance to the closest singular matrix, Conditioning of matrices
distance to singularity, conditioning, matrix norms, perfect relative perturbation bound, Numerical computation of matrix norms, conditioning, scaling, singular value decomposition, distance to the closest singular matrix, Conditioning of matrices
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