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Some properties of a uniformly linearly independent sequence of subspaces

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
25
Identifiers
DOI: 10.1016/0024-3795(79)90011-9

Abstract

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 R 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 R n . The properties derived were motivated by convergence results of Elkin for “block univariate relaxation” methods.

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