Simplicial Algorithms on the Simplotope /
This monograph deals with simplicial algorithms on the unit simplex and on the simplotope. Several new triangulations are introduced underlying the simplicial algorithms. The V-triangulation underlies a number of new simplicial algorithms and also underlies a continuous deformation algorithm on the...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1988.
|
| Series: | Lecture notes in economics and mathematical systems ;
318. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This monograph deals with simplicial algorithms on the unit simplex and on the simplotope. Several new triangulations are introduced underlying the simplicial algorithms. The V-triangulation underlies a number of new simplicial algorithms and also underlies a continuous deformation algorithm on the simplotope. The monograph extensively discusses these algorithms and gives computational comparisons. The examples include exchange economies, quadratic programming, non-cooperative N-person games, and economies with a block diagonal supply-demand pattern. In the economic examples, the paths induced by the algorithms can be interpreted as price adjustment processes. These paths have the attractive feature that they always converge to an optimal solution. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 262 pages 52 illustrations) |
| ISBN: | 9783642466519 (electronic bk.) 3642466516 (electronic bk.) |
| ISSN: | 0075-8442 ; |