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
Related Articles
- EP ID EP304491
- DOI -
- Views 34
- Downloads 0
DEVELOPED ZARISKI TOPOLOGY-GRAPH
In this paper, we introduce the developed Zariski topology-graph associated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic...
SEMIGROUPS DERIVED FROM (Γ, N)-SEMIHYPERGROUPS AND T-FUNCTOR
The main purpose of this paper is to introduce the concept of (Γ, n)- semihypergroups as a generalization of hypergroups, as a generalization of nary hypergroups and obtain an exact covariant functor between the category...
Jordan numbers, Stirling numbers and sums of powers
In the paper a new combinatorical interpretation of the Jordan numbers is presented. Binomial type formulae connecting both kinds of numbers mentioned in the title are given. The decomposition of the product of polynomia...
GENERALIZED DERIVATIONS WITH LEFT ANNIHILATOR CONDITIONS IN PRIME AND SEMIPRIME RINGS
Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S...
ON 2-ABSORBING FILTERS OF LATTICES
Let L be a lattice with 1. In this paper we study the concept of 2-absorbing filter which is a generalization of prime filter. A proper filter F of L is called a 2-absorbing filter (resp. a weakly 2-absorbing) if wheneve...