منابع مشابه
On Subgradient Projectors
The subgradient projector is of considerable importance in convex optimization because it plays the key role in Polyak’s seminal work — and the many papers it spawned — on subgradient projection algorithms for solving convex feasibility problems. In this paper, we offer a systematic study of the subgradient projector. Fundamental properties such as continuity, nonexpansiveness, and monotonicity...
متن کاملOn Symmetric Sets of Projectors
In this work are presented sets of projectors for reconstruction of a density matrix for an arbitrary mixed state of a quantum system with the finite-dimensional Hilbert space. It was discussed earlier [1] a construction with (2n − 1)n projectors for the dimension n. For n = 2 it is a set with six projectors associated with eigenvectors of three Pauli matrices, but for n > 2 the construction pr...
متن کاملSubgradient Methods
3 Convergence proof 4 3.1 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.2 Some basic inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.3 A bound on the suboptimality bound . . . . . . . . . . . . . . . . . . . . . . 7 3.4 A stopping criterion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.5 Numerical examp...
متن کاملKünneth Projectors and Correspondences on Open Varieties
We consider correspondences on smooth quasiprojective varieties U . An algebraic cycle inducing the Künneth projector onto H(U) is constructed. Assuming normal crossings at infinity, the existence of relative motivic cohomology is shown to imply the independence of ` for traces of open correspondences.
متن کاملOn the Limits of Lagrange Projectors
This article addresses a question of Carl de Boor (cf. [3]): What ideal projectors are the limits of Lagrange projectors? The results of this paper answer the question in the sense that for every ideal projector P we prescribe nitely many computations that determine whether the projector P is a limit of Lagrange projectors.
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ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2015
ISSN: 1052-6234,1095-7189
DOI: 10.1137/14096267x