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Your search keyword '"Proximal point"' showing total 2 results
2 results on '"Proximal point"'

1. Backward–backward splitting in Hadamard spaces.

Author

Banert, Sebastian

Subjects
*SPLITTING extrapolation method, *NUMERICAL analysis, *HADAMARD matrices, *HILBERT space, *FUNCTION spaces, *ALGORITHMS, *MAXIMA & minima, *CONVEX functions
Abstract

Abstract: The backward–backward algorithm is a tool for finding minima of a regularization of the sum of two convex functions in Hilbert spaces. We generalize this setting to Hadamard spaces and prove the convergence of an error-tolerant version of the backward–backward method. [Copyright &y& Elsevier]

Published
2014
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2. Metric subregularity and the proximal point method

Author

Leventhal, D.

Subjects
*MONOTONE operators, *CONVERGENT strabismus, *OPERATOR theory, *DECISION theory, *RESOLVENTS (Mathematics), *LINEAR statistical models
Abstract

Abstract: We examine the linear convergence rates of variants of the proximal point method for finding zeros of maximal monotone operators. We begin by showing how metric subregularity is sufficient for local linear convergence to a zero of a maximal monotone operator. This result is then generalized to obtain convergence rates for the problem of finding a common zero of multiple monotone operators by considering randomized and averaged proximal methods. [Copyright &y& Elsevier]

Published
2009
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