Digitale Medien
Springer
Numerische Mathematik
11 (1968), S. 57-76
ISSN:
0945-3245
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract The optimums-gradient method for minimizing a positive definite quadratic functionf(x) onE n has long been known to converge fors ≧+1. For theses the author studies the directions from which the iteratesx k approach their limit, and extends tos〉1 a theory proved byAkaike fors=1. It is shown thatf (x k ) can never converge to its minimum value faster than linearly, except in degenerate cases where it attains the minimum in one step.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF02165472
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