Generalized Sectional Convergence and Multipliers

Multipliers of generalized frames in Hilbert spaces

On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers

The formulation min x,y f(x) + g(y), subject to Ax+By = b, where f and g are extended-value convex functions, arises in many application areas such as signal processing, imaging and image processing, statistics, and machine learning either naturally or after variable splitting. In many common problems, one of the two objective functions is strictly convex and has Lipschitz continuous gradient. ...

multipliers of generalized frames in hilbert spaces

Monoidal closedness of $L$-generalized convergence spaces

In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result.

Real robustness bounds using generalized stability multipliers

Su cient conditions for robust stability using generalized stability multipliers are presented for systems with sectorand norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency griddi...