Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

The effect of convex transactions costs on consumers' derived utility functions and on optimal consumption and investment decisions is examined in a general multiperiod framework. The extent to which ...

The problem is considered of maximizing a function in a convex region. To solve this problem a new method is developed, to be called "method of feasible directions". It is a method of steep ascent.