A conjugate decomposition of the Euclidean space.

Abstract

Given a closed convex cone K in the n-dimensional real Euclidean space R(n) and an nxn real matrix A that is positive definite on K, we show that each vector in R(n) can be decomposed into a component that lies in K and another that lies in the conjugate cone induced by A and such that the two vectors are conjugate to each other with respect to A + A(T). As… (More)

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