Zobrazeno 1 - 10
of 2 138
pro vyhledávání: '"M. Marqués"'
Autor:
Alves, M. Marques, Geremia, M.
We propose a new relative-error inexact version of the alternating direction method of multipliers (ADMM) for convex optimization. We prove the asymptotic convergence of our main algorithm as well as pointwise and ergodic iteration-complexities for r
Externí odkaz:
http://arxiv.org/abs/2409.10311
In this work we apply the recently introduced framework of degenerate preconditioned proximal point algorithms to the hybrid proximal extragradient (HPE) method for maximal monotone inclusions. The latter is a method that allows inexact proximal (or
Externí odkaz:
http://arxiv.org/abs/2407.05893
We propose an inertial variant of the strongly convergent inexact proximal-point (PP) method of Solodov and Svaiter (2000) for monotone inclusions. We prove strong convergence of our main algorithm under less restrictive assumptions on the inertial p
Externí odkaz:
http://arxiv.org/abs/2407.03485
We present and study the iteration-complexity of a relative-error inexact proximal-Newton extragradient algorithm for solving smooth monotone variational inequality problems in real Hilbert spaces. We removed a search procedure from Monteiro and Svai
Externí odkaz:
http://arxiv.org/abs/2308.05887
Autor:
Alves, M. Marques
We propose and study the weak convergence of a projective splitting algorithm for solving multi-term composite monotone inclusion problems involving the finite sum of $n$ maximal monotone operators, each of which having an inner four-block structure:
Externí odkaz:
http://arxiv.org/abs/2208.10680
Autor:
Alves, M. Marques
For solving strongly convex optimization problems, we propose and study the global convergence of variants of the A-HPE and large-step A-HPE algorithms of Monteiro and Svaiter. We prove linear and the superlinear $\mathcal{O}\left(k^{\,-k\left(\frac{
Externí odkaz:
http://arxiv.org/abs/2102.02045
Autor:
Leitao, A., Alves, M. Marques
Publikováno v:
Inverse Problems 23 (2007), no. 5, 2207-2222
Two methods of level set type are proposed for solving the Cauchy problem for an elliptic equation. Convergence and stability results for both methods are proven, characterizing the iterative methods as regularization methods for this ill-posed probl
Externí odkaz:
http://arxiv.org/abs/2101.10725
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations 23 (2017), 663-683
In this paper, we propose a level set regularization approach combined with a split strategy for the simultaneous identification of piecewise constant diffusion and absorption coefficients from a finite set of optical tomography data (Neumann-to-Diri
Externí odkaz:
http://arxiv.org/abs/2012.11980
The Atlantic Forest is one of the 36 hotspots for biodiversity conservation worldwide. It is a unique, large biome (more than 3000 km in latitude; 2500 in longitude), marked by high biodiversity, high degree of endemic species and, at the same time,
For solving structured monotone inclusion problems involving the sum of finitely many maximal monotone operators, we propose and study a relative-error inertial-relaxed inexact projective splitting algorithm. The proposed algorithm benefits from a co
Externí odkaz:
http://arxiv.org/abs/2002.07878