Best Rational Approximation and Strict Quasi-Convexity
| dc.contributor.author | Barrodale, I | |
| dc.date.accessioned | 2020-01-16T20:56:59Z | |
| dc.date.available | 2020-01-16T20:56:59Z | |
| dc.date.copyright | 1971 | en_US |
| dc.date.issued | 1971 | |
| dc.description.abstract | If a continuous function is strictly quasi-convex on a convex set $\Gamma $, then every local minimum of the function must be a global minimum. Furthermore, every local maximum of the function on the interior of $\Gamma $ must also be a global minimum. Here, we prove that any minimax rational approximation problem defines a strictly quasi-convex function with the property that a best approximation (if one exists) is a minimum of that function. The same result is not true in general for best rational approximation in other norms. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | Sponsored by the United States Army under Contract No.: DA-31-124-ARO-D-462 and by the Department of Mathematics, University of Victoria, Victoria, B.C., Canada. | en_US |
| dc.identifier.citation | Barrodale, I. (1971). Best Rational Approximation and Strict Quasi-Convexity. MRC Technical Summary Report #1157. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/11492 | |
| dc.language.iso | en | en_US |
| dc.subject.department | Department of Computer Science | |
| dc.title | Best Rational Approximation and Strict Quasi-Convexity | en_US |
| dc.type | Technical Report | en_US |