APPLICATIONS OF SADDLE-POINT DETERMINANTS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 2
Abstract
For a given square matrix A ∈ Mn(R) and the vector e ∈ (R)^n of ones denote by (A, e) the matrix A e e^T 0 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.
Authors and Affiliations
Jan Hauke, Charles R. Johnson, Tadeusz Ostrowski
Keywords
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