New convergence analysis of a primal-dual algorithm with large stepsizes
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09840-9
Abstract: We consider a primal-dual algorithm for minimizing f ( x ) + h □ l ( A x ) $f({\mathbf {x}})+h\square l({\mathbf {A}}{\mathbf {x}})$ with Fréchet differentiable f and l ∗ . This primal-dual algorithm… read more here.
Keywords: dual algorithm; algorithm; convergence analysis; primal dual ... See more keywords
A New Primal–Dual Algorithm for Minimizing the Sum of Three Functions with a Linear Operator
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DOI: 10.1007/s10915-018-0680-3
Abstract: In this paper, we propose a new primal–dual algorithm for minimizing $$f({\mathbf {x}})+g({\mathbf {x}})+h({\mathbf {A}}{\mathbf {x}})$$f(x)+g(x)+h(Ax), where f, g, and h are proper lower semi-continuous convex functions, f is differentiable with a Lipschitz continuous gradient,… read more here.
Keywords: dual algorithm; algorithm minimizing; algorithm; new primal ... See more keywords
Nonlinear primal-dual algorithm for the phase and absorption retrieval from a single phase contrast image.
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DOI: 10.1364/ol.469174
Abstract: We propose a nonlinear primal-dual algorithm for the retrieval of phase shift and absorption from a single x ray in-line phase contrast, or Fresnel diffraction, image. The algorithm permits us to regularize phase and absorption… read more here.
Keywords: primal dual; nonlinear primal; phase; dual algorithm ... See more keywords