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An application of a linear programing technique to nonlinear minimax problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Schiess, J. R. |
| Copyright Year | 1973 |
| Description | A differential correction technique for solving nonlinear minimax problems is presented. The basis of the technique is a linear programing algorithm which solves the linear minimax problem. By linearizing the original nonlinear equations about a nominal solution, both nonlinear approximation and estimation problems using the minimax norm may be solved iteratively. Some consideration is also given to improving convergence and to the treatment of problems with more than one measured quantity. A sample problem is treated with this technique and with the least-squares differential correction method to illustrate the properties of the minimax solution. The results indicate that for the sample approximation problem, the minimax technique provides better estimates than the least-squares method if a sufficient amount of data is used. For the sample estimation problem, the minimax estimates are better if the mathematical model is incomplete. |
| File Size | 1174074 |
| Page Count | 27 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19740002454 |
| Archival Resource Key | ark:/13960/t7wm6248r |
| Language | English |
| Publisher Date | 1973-11-01 |
| Access Restriction | Open |
| Subject Keyword | Problem Solving Linear Programming Minimax Technique Mathematical Models Algorithms Least Squares Method Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
