THE NEGATIVE INNER PRODUCT SETS

  • Ampon Dhamacharoen
  • Porntip Kasempin
Keywords: Negative Inner Product Set, Non-negative solution, Positive solution, Obtuse cone, Monotone matrix

Abstract

In this article we will define the negative inner product sets and characterize their properties. One property concerning the negative linear combination leads to the existence of the non-negative and positive solutions of some classes of systems of linear equations. Applications on obtuse cones and monotone matrices are also discussed.

Published
2020-02-24