A Class of Exponential Penalty Functions

EXPONENTIAL MAP OF A CLASS OF TOP SPACES

Computing analytic matrix functions for a class of exponential integrators

Different methods for numerically stable computation of functions which are closely related to the exponential function are discussed. Such functions appear in the format of the most often used exponential integrators. A generalization of the method base on the tridiagonal reduction is proposed. The new approach, allows to compute all the functions included in the format of a general exponentia...

Penalty Functions

Limit summability of ultra exponential functions

In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

Exponential Penalty Function Control of Loss Networks

We introduce penalty-function-based admission control policies to approximately maximize the expected reward rate in a loss network. These control policies are easy to implement and perform well both in the transient period as well as in steady state. A major advantage of the penalty approach is that it avoids solving the associated dynamic program. However, a disadvantage of this approach is t...