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An algorithm for best approximate solutions ofAx=b with a smooth strictly convex norm (1977)

Owens, R. W.

Springer

Numerische Mathematik 29 (1977), S. 83-91

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Details

ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65D15 ; 41A50 ; CR: 5.13

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary In this paper, overdetermined systems ofm linear equations inn unknowns are considered. Withℝ 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〈∞.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01389315

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