Convergence of multi-step curve search method for unconstrained optimization
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| 024 | 7 | 0 | |a 10.1515/1569395042571292 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569395042571292 | ||
| 100 | 1 | |a Shi |D Z.-J |u College of Operations Research and Management, Qufu Normal University, Rizhao, Shandong276826, China and Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing100080, China | |
| 245 | 1 | 0 | |a Convergence of multi-step curve search method for unconstrained optimization |h [Elektronische Daten] |c [Z.-J. Shi] |
| 520 | 3 | |a A new multi-step curve search method for unconstrained minimization problems is proposed. The convergence of the algorithm is proved under some mild conditions. The linear convergence rate is also investigated when the objective function is uniformly convex. This method uses previous multi-step iterative information and curve search rule to generate new iterative points. Using more previous iterative information and curve search rule can make the new method converge more stably than traditional descent methods and be suitable to solve large scale problems. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 690 | 7 | |a unconstrained optimization |2 nationallicence | |
| 690 | 7 | |a multi-step |2 nationallicence | |
| 690 | 7 | |a curve search method |2 nationallicence | |
| 690 | 7 | |a convergence |2 nationallicence | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/4(2004-11-01), 297-309 |x 1570-2820 |q 12:4<297 |1 2004 |2 12 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569395042571292 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569395042571292 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Shi |D Z.-J |u College of Operations Research and Management, Qufu Normal University, Rizhao, Shandong276826, China and Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing100080, China | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/4(2004-11-01), 297-309 |x 1570-2820 |q 12:4<297 |1 2004 |2 12 |o jnma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||