Some applications of Maple in linear systems analysis

Many problems in linear systems analysis are seen to be very computationally attractive. By this we mean that it is in general beneficial to implement the corresponding problem computationally rather than solving the problem by hand in terms of certain governing factors. Such factors may include the time, accuracy and cost of obtaining such a solution. The advent of complete symbolic computational packages, such as Maple and Mathematica, have made the computational implication of such problems particularly attractive. Perhaps understandably, however, neither one of these symbolic computer packages contain existing procedures or indeed packages for specialized work in linear systems. However, they are clearly flexible enough for the implementation of such work to be carried out. This is the motivation of the paper and we present a package of procedures, developed for use in Maple, for solving numerous and common problems in linear systems