| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1137/0723012 |
| Analogues of Dixon’s and Powell’s Theorems for Unconstrained Minimization with Inexact Line Searches. | |
| Nazareth J | |
| 发表日期 | 1986 |
| 出处 | SIAM Journal on Numerical Analysis 23 (1): 170-177 |
| 出版年 | 1986 |
| 语种 | 英语 |
| 摘要 | Dixon’s theorem (Math. Programming, 2 (1972), PP. 383–387) states that all variable metric methods in the Broyden class develop identical iterates when line searches are exact. Powell’s theorem (Rep. TP 495, AERE, Harwell, England, 1972) is a variant on this, which states that under similar conditions, the Hessian approximation developed by a BFGS update at any step is independent of the updates used at earlier steps. |
| URL | http://pure.iiasa.ac.at/id/eprint/13654/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/126951 |
| 推荐引用方式 GB/T 7714 | Nazareth J. Analogues of Dixon’s and Powell’s Theorems for Unconstrained Minimization with Inexact Line Searches.. 1986. |
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