A theorem on the Gram matrix of a polyhedron

Abstract:

A theorem concerning the Gram matrix of a general set of vectors: a vector polyhedron, is described. Generally speaking, the demonstration is performed by means of a non-negative vector definition: the variance vector, which can be associated to any vector polyhedron belonging to a vector space where a scalar product can be defined. The complete sum of the variance vector, the condensed variance index of any polyhedron, permits to construct the Gram matrix theorem.

Año de publicación:

2017

Keywords:

• Variance of a vector polyhedron
• Centroid of a vector polyhedron
• Gram matrix of a vector polyhedron
• Variance condensed index of a polyhedron
• Vector polyhedra
• Complete sum of a vector
• Inward power set of a vector polyhedron

Fuente:

scopus