| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/BF01589444 |
| The method of successive affine reduction for nonlinear minimization. | |
| Nazareth JL | |
| 发表日期 | 1986 |
| 出处 | Mathematical Programming 35 (1): 97-109 |
| 出版年 | 1986 |
| 语种 | 英语 |
| 摘要 | The traditional development of conjugate gradient (CG) methods emphasizes notions of conjugacy and the minimization of quadratic functions. The associated theory of conjugate direction methods, strictly a branch of numerical linear algebra, is both elegant and useful for obtaining insight into algorithms for nonlinear minimization. Nevertheless, it is preferable that favorable behavior on a quadratic be a consquence of a more general approach, one which fits in more naturally with Newton and variable metric methods. We give new CG algorithms along these lines and discuss some of their properties, along with some numerical supporting evidence. |
| 关键词 | conjugate gradients high-dimensional optimization Nonlinear minimization successive affine reduction variable storage algorithms |
| URL | http://pure.iiasa.ac.at/id/eprint/13649/ |
| 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/126949 |
| 推荐引用方式 GB/T 7714 | Nazareth JL. The method of successive affine reduction for nonlinear minimization.. 1986. |
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