APPLICATIONS OF SADDLE-POINT DETERMINANTS.

For a given square matrix A ˈ Mn(ℝ) and the vector e ˈ (ℝ)n of ones denote by (A, e) the matrix.... This is often called the saddle point matrix and it plays a significant role in several branches of mathematics. Here we show some applications of it in: game theory and analysis. An application of specific saddle point matrices that are hollow, symmetric, and nonnegative is likewise shown in geometry as a generalization of Heron's formula to give the volume of a general simplex, as well as a conditions for its existence. [ABSTRACT FROM AUTHOR]

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