Some properties of a uniformly linearly independent sequence of subspaces |
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Authors: | V.Hien Nguyen J.-J. Strodiot |
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Affiliation: | Department of Mathematics Facultés Universitaires de Namur 5000 Namur, Belgium |
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Abstract: | The concept of a uniformly linearly independent sequence, due to R.M. Elkin, is a useful notion. Convergence theory of iterative processes for solving nonlinear equations or optimization problems in n is an example of a discipline which has benefited from the use of this notion. The purpose of this paper is to present some properties of a uniformly linearly independent sequence of subspaces of n. The properties derived were motivated by convergence results of Elkin for “block univariate relaxation” methods. |
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