1. Introduction -- 2. Mathematical Background and Notation -- 3. Subdivisions and Triangulations -- 4. Standard Simplex S and Matrix Operations -- 5. Subdivisions Q of $$ \mathbb{G}^n $$ -- 6. Freudenthal Triangulation F of $$ \mathbb{G}^n $$ , Part I -- 7. Sandwich Triangulation F|$$...

Given a probability space or a joint distribution, any derived probabilities or marginal distributions will be conformable. The inverse problem is to determine whether a set of fragmentary probabilities or marginal distributions is conformable in the sense that there exists a probability space...

A procedure based on Lemke's algorithm is developed which either computes stationary points for general quadratic programs or else shows that the program has no optimum. If a general quadratic program has an optimum and satisfies a non-degeneracy condition then it is demonstrated that there are...

This study centers on the task of efficiently finding a solution of the linear complementarity problem: Ix - My = q, x \ge 0, y \ge 0, x \perp y. The main results are: (1) It is shown that Lemke's algorithm will solve (or show no solution exists) the problem for M \in L where L is a class of...