Newton's method for linear inequality systems
✍ Scribed by Mustafa Ç. Pinar
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 917 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0377-2217
No coin nor oath required. For personal study only.
✦ Synopsis
We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the /, norm of infeasibilities. Finite termination is proved, and numerical results are given. 0 1998 Elsevier Science B.V.
📜 SIMILAR VOLUMES
The Lagrangian globalization (LG) method for non-linear equation-solving proposed in [ 101 is developed through theoretical analysis, the formulation of a particular LG algorithm, and a numerical illustration. New merit functions (termed detour potentials) for non-linear equation-solving, which broa
Linear systems of an arbitrary number of inequalities provide external representations for the closed convex sets in the Euclidean space. In particular, the locally polyhedral systems introduced in this paper are the natural linear representation for quasipolyhedral sets (those subsets of the Euclid