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A general cone decomposition theory based on efficiency (1994)

Martínez-Legaz, J. E. ; Seeger, A.

Springer

Mathematical programming 65 (1994), S. 1-20

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ISSN: 1436-4646

Keywords: Efficient decomposition ; Moreau decomposition ; partially ordered vector spaces

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract LetK 1 andK 2 be two convex cones in some common vector space. This paper is concerned with the question of finding a ‘good’ decomposition, with respect toK 1 andK 2, of a given element of the Minkowski sumK 1 +K 2. We propose the criterion of efficiency as a measure for the quality of a decomposition. This criterion allows us to set up a framework from which a general cone decomposition theory is then derived.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01581687

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