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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liuzzi, Giampaolo Lucidi, Stefa Piccialli, Veronica Sotgiu, Antonello |
| Copyright Year | 2004 |
| Abstract | In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization method which is a distributed multi-start type algorithm controlled by means of a simulated annealing criterion. In particular, the proposed method employs, as local search engine, a derivative free procedure. Under reasonable assumptions, we prove that this local algorithm is attracted by global minimum points. Additionally, we show that the simulated annealing strategy is able to produce a suitable starting point in a finite number of steps with probability one. |
| Starting Page | 339 |
| Ending Page | 364 |
| Page Count | 26 |
| File Format | |
| ISSN | 00255610 |
| Journal | Mathematical Programming |
| Volume Number | 101 |
| Issue Number | 2 |
| e-ISSN | 14364646 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2004-07-21 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Magnetic Resonance Imaging Global optimization Simulated annealing Derivative free methods |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Software |
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