http://worldcat.org/entity/work/id/766871861

Time-Dependent Mathematical Programs

The principal device and unifying theme of research summarized here is to be the homotopy principle for solving equations. To solve a given system of equations, the system is first deformed to one which is trivial and has a unique solution. Beginning with the solution to the trivial problem a route of solutions is followed as the system is deformed, perhaps with retrogression, back to the given system. The route terminates with a solution to the given problem. The principle was first stated as such in Homotopies for Computation of Fixed Points, a research report by the principle investigator which was supported earlier by ARO. Principal accomplishments under the research contract is the accomplishment of significant unification; in particular, it was shown that the complementary pivot and fixed point methods are all in theory the same and that a strong link between these methods and differential topology exists. This report consists of abstracts of eight reports emanating from the research. (Author).

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