An algorithm for best approximate solutions ofAx=b with a smooth strictly convex norm |
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Authors: | R W Owens |
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Institution: | (1) Department of Mathematics, Lewis and Clark College, 97219 Portland, OR, USA |
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Abstract: | Summary In this paper, overdetermined systems ofm linear equations inn unknowns are considered. With
m
equipped with a smooth strictly convex norm, · , an iterative algorithm for finding the best approximate solution of the linear system which minimizes the · -error is given. The convergence of the algorithm is established and numerical results are presented for the case when · is anl
p norm, 1<p< .Portions of this paper are taken from the author's Ph.D. thesis at Michigan State University |
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Keywords: | AMS(MOS): 65D15 41A50 CR: 5 13 |
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