Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24885
Title: A method of transferring polyhedron between the intersection-form and the sum-form
Authors: Wei, Q
Yan, H 
Keywords: Convex combination
Intersection-form
Polyhedron
Sum-form
Issue Date: 2001
Publisher: Pergamon Press
Source: Computers and mathematics with applications, 2001, v. 41, no. 10-11, p. 1327-1342 How to cite?
Journal: Computers and mathematics with applications 
Abstract: A bounded polyhedron (or a polyhedral cone) can be given by either an intersection of linear inequalities, which is thus called intersection-form, or a convex combination (or nonnegative linear combination) of some given points, which is thus called sum-form. This paper first proposes a simple and effective method to transfer a bounded polyhedron or a polyhedral cone from the intersection-form to the sum-form. A new method is proposed to transfer a bounded polyhedron (or a polyhedral cone) from the sum-form to the intersection form. Both procedures can be completed in finite number of iterations. Numerical examples are given for illustration.
URI: http://hdl.handle.net/10397/24885
ISSN: 0898-1221
EISSN: 1873-7668
DOI: 10.1016/S0898-1221(01)00100-6
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