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Projective method of multipliers for linearly constrained convex minimization

Majela Pentón Machado ()
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Majela Pentón Machado: UFBA, Universidade Federal da Bahia

Computational Optimization and Applications, 2019, vol. 73, issue 1, No 8, 237-273

Abstract: Abstract We present a method for solving linearly constrained convex optimization problems, which is based on the application of known algorithms for finding zeros of the sum of two monotone operators (presented by Eckstein and Svaiter) to the dual problem. We establish convergence rates for the new method, and we present applications to TV denoising and compressed sensing problems.

Keywords: Constrained optimization; Convex programming; Complexity; Total variation denoising; Compressed sensing; 49M29; 90C25; 65K05; 68Q25 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10589-019-00065-1

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