5 results about "Generalized inverse" patented technology

In mathematics, and in particular, algebra, a generalized inverse of an element x is an element y that has some properties of an inverse element but not necessarily all of them. Generalized inverses can be defined in any mathematical structure that involves associative multiplication, that is, in a semigroup. This article describes generalized inverses of a matrix A. Formally, given a matrix A∈ℝⁿ×ᵐ and a matrix Aᵍ∈ℝᵐ×ⁿ, Aᵍ is a generalized inverse of A if it satisfies the condition AAᵍA=A.