We analyze a primal-dual pair of problems generated via a duality theory introduced by Svaiter. We propose a general algorithm and study its convergence properties. The focus is a general primal-dual principle for strong convergence of some classes of algorithms. In particular, we give a different viewpoint for the weak-to-strong principle of Bauschke and Combettes and unify many results concer...

We analyze a primal-dual pair of problems generated via a duality theory introduced by Svaiter. We propose a general algorithm and study its convergence properties. The focus is a general primal-dual principle for strong convergence of some classes of algorithms. In particular, we give a different viewpoint for the weak-to-strong principle of Bauschke and Combettes and unify many results concer...

To explore and describe norms concerning maternity, femininity cisgender in lesbian bisexual women transgender people (LBT) assigned female at birth, with an expressed fear of childbirth (FOC). Semi-structured interviews were conducted self-identified LBT FOC. 17 participated. 15 had FOC, two non-afraid partners. Participants described how their FOC was related to ideals “the primal woman”, inc...

In this paper, an exact dual is derived for Semideenite Programming (SDP), for which strong duality properties hold without any regularity assumptions. Its main features are: The new dual is an explicit semideenite program with polynomially many variables and polynomial size coeecient bitlengths. If the primal is feasible, then it is bounded if and only if the dual is feasible. When the primal ...

In a soft environment, we investigated several (classical) structures such as ideals, filters, grills, etc. It is well known that these are applied to expand abstract concepts; in addition, some of them offer vital tool address practical issues, especially those related improving rough approximation operators and accuracy measures. Herein, contribute this line research by presenting novel type ...

We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already been known), the parameter test module, and the module of relative test elements. They also appear as certain multiplier ideals, a concept of interest in algebraic geometry.