Recent work has discovered perhaps unexpectedly rich structures for base loci and asymptotic invariants on the cone of big divisors of smooth complex projective varieties. One may ask what sorts of cones and functions can occur. In general this question is not currently well-understood. However, a key feature of this work (implicit in [7] and explicit in [3]) is that the structures depend on al...

In this paper, we introduce a new kind of soft hemirings called soft intersection hemirings and obtain some related properties. Some basic operations are also investigated. Finally, we describe some characterizations of h-hemiregular hemirings by means of SI-h-ideals.

This note summarizes a report with the same title where a study was carried out regarding a uni ed approach proposed by Kojima Mizuno and Yoshise for interior point algorithms for the linear complementarily problem with a positive semi de nite matrix This approach is extended to nonsymmetric matrices with nonnegative principal minors

This paper is devoted to the foldness theory of implicative ideals in BCK-algebras. We use the fuzzy point concept to give some characterizations of fuzzy n-fold implicative ideals and establish some relationships with various n-fold ideals. We also construct some algorithms for studying the foldness of implicative ideals in BCK-algebras. AMS Mathematics Subject Classification: 06F35, 13A15, 8A...

This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.

Interior point methods for semide nite optimization have recently been studied intensively, due to their polynomial complexity and practical e ciency. Many search directions have been proposed to symmetrize the corresponding Newton system. In this paper, we rst introduce a variational principle for de ning the search direction and show that the Nesterov-Todd (NT) direction is optimal under this...