Variational problems arising from balancing several error criteria
| Autor: | C.A. MICCHELLI, A. PINKUS |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 1994 |
| Předmět: | |
| Zdroj: | Rendiconti di Matematica e delle Sue Applicazioni, Vol 14, Iss 1, Pp 37-86 (1994) |
| Druh dokumentu: | article |
| ISSN: | 1120-7183 2532-3350 |
| Popis: | The purpose of this paper is to describe various results which pertain to a class of variational problems in which two or more error criteria are to be controlled simultaneously in some optimal fashion. This type of problem has wide application in optimal control, statistical estimation and approximation theory. We make no pretense that our treatment is exhaustive either in the applications we cover or in the analysis we use. Rather, we wish to point out some general properties of these problems that are useful, survey some interesting examples which arise in applications, and give an analysis of certain classes of these variational problems where total positivity plays a central role. |
| Databáze: | Directory of Open Access Journals |
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