Given an approximation {fn} of a given objective function f, we provide simple and fairly general conditions under which a diagonal proximal point algorithm approximates the value inf f at a reasonable rate. We also perform some numerical tests and present a short survey on finite convergence

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Juan Peypouquet

Departamento de Matemática, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso, Chile

juan.peypouquet@usm.cl
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J. Peypouquet. “Asymptotic Convergence to the Optimal Value of Diagonal Proximal Iterations in Convex Minimization.” Journal of Convex Analysis 16 (2009), No. 1, 277–286. https://doi.org/10.68381/jca16015