Applications of saddle-point determinants
Jan Hauke ; Charles R. Johnson ; Tadeusz Ostrowski
Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015), p. 213-220 / Harvested from The Polish Digital Mathematics Library
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For a given square matrix A∈Mn(ℝ) and the vector e∈(ℝ)n of ones denote by (A,e) the matrix ⎡ A e ⎤ ⎣ eT 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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:276656 
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Jan Hauke; Charles R. Johnson; Tadeusz Ostrowski. Applications of saddle-point determinants. Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015) pp. 213-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1239/

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