Remarks on the recursive structure of copositivity
- 1 September 1987
- journal article
- research article
- Published by Taylor & Francis in Journal of Information and Optimization Sciences
- Vol. 8 (3) , 243-260
- https://doi.org/10.1080/02522667.1987.10698891
Abstract
For polyhedral cones Γ, recursive criteria for (strict) Γ- opositivity of symmetric (n×n)-matrices are specified, which can serve as dimensional reduction principles as well for general closed, convex cones Γ. The procedure proposed seems to be of some practical interest since the computational costs may be held comparatively small.Keywords
This publication has 5 references indexed in Scilit:
- On copositive matricesLinear Algebra and its Applications, 1983
- Finite criteria for conditional definiteness of quadratic formsLinear Algebra and its Applications, 1981
- Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraintsLinear Algebra and its Applications, 1981
- Positive operators on the n-dimensional ice cream coneJournal of Mathematical Analysis and Applications, 1975
- On non-negative forms in real variables some or all of which are non-negativeMathematical Proceedings of the Cambridge Philosophical Society, 1962