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  • Articles: DFG German National Licenses  (1)
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    Electronic Resource
    Electronic Resource
    On the asymptotic directions of thes-dimensional optimum gradient method (1968)
    Springer
    Numerische Mathematik 11 (1968), S. 57-76 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02165472
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