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The gradient descent method applied to convex discrete functions

✍ Scribed by M. F. Kaspshitskaya; I. V. Sergienko


Book ID
105056881
Publisher
Springer US
Year
1971
Tongue
English
Weight
145 KB
Volume
7
Category
Article
ISSN
1573-8337

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A Dynamical Approach to Convex Minimizat
✍ H. Attouch; R. Cominetti πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 805 KB

We study the asymptotic behavior of the solutions to evolution equations of the form 0 # u\* (t)+ f(u(t), =(t)); u(0)=u 0 , where [ f( } , =): =>0] is a family of strictly convex functions whose minimum is attained at a unique point x(=). Assuming that x(=) converges to a point x\* as = tends to 0,