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A conjugate decomposition of the Euclidean space

Given a closed convex cone K in the n-dimensional real Euclidean space R(n) and an n×n 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 vecto...

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Han, S.-P., Mangasarian, O. L.
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 1983
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC384209/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593356/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.80.16.5156
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