Chapter 1 Nonlinear Programming -- Chapter 2 Perron-Frobenius Theorem -- Chapter 3 Dominant Diagonal Matrix and Quadratic Form -- Chapter 4 Recent Issue on Eigenvalue Problem -- Appendix Lists of Mathematical Theorems and Definitions.

Let X be a non-empty, compact, convex set in R and o an upper semi-continuous mapping from X to the collection of non-empty, compact, convex subsets of R;. It is well known that such a mapping has a stationary point on X, i.e. there exists a point in X satisfying that its image under o has a...