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Symmetric Duality via Conjugate Duality
Author(s) -
Schechter Murray
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570609
Subject(s) - duality (order theory) , fenchel's duality theorem , strong duality , duality gap , mathematics , perturbation function , weak duality , space (punctuation) , wolfe duality , conjugate , complex conjugate , square (algebra) , pure mathematics , algebra over a field , combinatorics , mathematical analysis , computer science , mathematical optimization , convex analysis , optimization problem , geometry , convex optimization , regular polygon , operating system
Symmetric pairs of programming problems involving square roots of quadratic forms have been studied by a number of authors. By applying the methods of conjugate duality theory to generalizations of these problems we readily obtain extensions of most known results guaranteeing duality of this pair. Our results apply equally well to problems in real and complex space.