The maximal correlation problem (MCP) aiming at optimizing correlation between sets of variables plays a very important role in many areas of statistical applications. Currently, algorithms for the general MCP stop at solutions of the multivariate eigenvalue problem (MEP) for a related matrix A. The MEP is a necessary condition for the global solutions of the MCP. Up to date, there is no algori...

In this paper, we present a new method to rigorously compute smooth branches of zeros of nonlinear operators f : R1 × B1 → R2 × B2, where B1 and B2 are Banach spaces. The method is first introduced for parameter continuation and then generalized to pseudo-arclength continuation. Examples in the context of ordinary, partial and delay differential equations are given.

A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalt...

The explosion of globalization has increased firms incentives to exploit international tax differentials to their benefit. In this paper we consider a simple world with two countries with different market sizes and two multinationals with a division in each country. Both countries use a source-based profit tax on multinationals, who compete a la Cournot in each local market and use profit shift...

Over the past few years, piracy has exploded off the coast of Somalia. The Somali pirates congregate on a mother ship and then divide into smaller groups that sail out on tiny skiffs. Using potent weapons like AK-47’s and hand-propelled grenades, the Somali pirates then attack civilian ships carrying cargo through the Gulf of Aden, toward South Africa or Asia. Once they have overtaken the victi...

We discuss the uniqueness of the equilibria of time-global solutions of general semilinear parabolic equations by a finite set of values of these solutions. More precisely, if the asymptotic behaviour of a time-global solution is known on an appropriate finite set, then the asymptotic behaviour of a time-global solution itself is entirely determined in a domain.

After thinking long and hard aboutwhat to include in this piece, I felt it was important to start with some examples of the negative attitudes and sometimes unbelievable ignorance that has and still does exist towards epilepsy. People are often unwilling to acknowledge the stigma that still exists towards one of the world’s most commonneurological conditions, one that can affect anyone of anyag...

natural frequency is one of the parameters that represent useful information about the dynamic behavior of structures. controlling this parameter can decrease the probability of damage under dynamic loading. weight optimization on layout and sizing with frequency constraints is a well known problem because of its highly non-linear behavior. improved ray optimization (iro) algorithm is utilized ...

We study the global smooth solution for the coupled Kuramoto-Sivanshinsky-KdV system in two-dimensional space. The model is proposed to describe the surface waves on multi-layered liquid films. The global solution is obtained for general initial data, using an a priori estimate for the nonlinear system, and the smoothness of such solution is established in t > 0.

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.