Stochastic convex optimization problems with expectation constraints (SOECs) are encountered in statistics and machine learning, business, and engineering. In data-rich environments, the SOEC objective and constraints contain expectations defined with respect to large datasets. Therefore,...

Let be a proper cone in , let be an × real matrix that satisfies , let be a given vector of , and let λ be a given positive real number. The following two linear equations are considered in this paper: (i) (λ — ) = , ∈ , and (ii) ( — λ) = , ∈ . We obtain several equivalent conditions...

The visco-elastic fluids in computational fluid mechanics (CFM) is an important problem to study. The simulation of the process of shear and elongation material has been successfully carried out in our previous reports (reference [1]). A mixed computational and mathematical approach in...

Two general procedures for computing eigenvalues and error estimates in Sturm-Liouville problems based upon the shooting technique are considered. The proposed methods have a low computational cost and the error estimates can be employed to improve the approximations obtained for the...

A fundamental assumption in most of economic modeling is that people maximize their utility subject to a budget constraint. This, as well as many other economic problems, mathematically translate into problems of maximization with constraints. A powerful and widely used method to tackle some of...