A Matrix Approach to Finding a Set of Generators and Finding the Polar (Dual) of a Class of Polyhedral Cones
- 1 July 1994
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Matrix Analysis and Applications
- Vol. 15 (3), 796-803
- https://doi.org/10.1137/s0895479891199690
Abstract
A set of generators for a polyhedral cone is found by using a new representation for the polar (dual) cone. Examples from order-restricted statistical inference are chosen to illustrate this method.Keywords
This publication has 8 references indexed in Scilit:
- Comparison of Several Treatments with a Control Using Multiple ContrastsJournal of the American Statistical Association, 1987
- On Testing Symmetry and UnimodalityPublished by Springer Nature ,1986
- Dual convex cones of order restrictions with applicationsPublished by Institute of Mathematical Statistics ,1984
- Likelihood Ratio Tests for and Against a Stochastic Ordering Between Multinomial PopulationsThe Annals of Statistics, 1981
- Convexity and Optimization in Finite Dimensions IPublished by Springer Nature ,1970
- Order-preserving functions: Applications to majorization and order statisticsPacific Journal of Mathematics, 1967
- Algorithms for frames and lineality spaces of conesJournal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, 1967
- Efficient Utilization of Non-Numerical Information in Quantitative Analysis General Theory and the Case of Simple OrderThe Annals of Mathematical Statistics, 1963