| Автор | Jacobson, D. H. |
| Дата выпуска | 1976 |
| dc.description | ABSTRACTA generalization is given of Finsler's theorem on the positivity of a quadratic form subject to a quadratic equality. The generalized result is, under a certain assumption, a set of necessary and sufficient conditions for non-negativity of a quadratic form subject to an arbitrary number of quadratic inequality and equality constraints. Certain properties of matrix inverses are deduced using the conditions. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | 10E25 |
| Тема | 15A24 |
| Тема | 15A63 |
| Тема | 90C30 |
| Название | A GENERALIZATION OF FINSLER'S THEOREM FOR QUADRATIC INEQUALITIES AND EQUALITIES |
| Тип | research-article |
| DOI | 10.1080/16073606.1976.9632513 |
| Electronic ISSN | 1727-933X |
| Print ISSN | 1607-3606 |
| Журнал | Quaestiones Mathematicae |
| Том | 1 |
| Первая страница | 19 |
| Последняя страница | 28 |
| Аффилиация | Jacobson, D. H.; National Research Institute for Mathematical Sciences |
| Выпуск | 1 |
| Библиографическая ссылка | Bellman, R. E. 1976. Introduction to Matrix Analysis New York: McGraw Hill. |
| Библиографическая ссылка | Diananda, P. H. 1962. On Non-Negative Forms in Real Variables Some or all of which are Non-Negative. Proc. Camb. Phil. Soc., 58: 17–25. |
| Библиографическая ссылка | Finsler, P. 1937. Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen.. Commentarii Mathe=matici Helvetici, 9: 188–192. |
| Библиографическая ссылка | Gaddum, J. W. 1958. Linear Inequalities and Quadratic Forms.. Pacific J. Math., 8: 411–414. |
| Библиографическая ссылка | Mangasarian, O. 1969. Nonlinear Programming. New York: McGraw-Hill. |
