التفاصيل البيبلوغرافية
| العنوان: |
Constrained Extremum Problems and Image Space Analysis—Part III: Generalized Systems. |
| المؤلفون: |
Li, Shengjie1, You, Manxue1, Xu, Yangdong2, Zhu, Shengkun3 |
| المصدر: |
Journal of Optimization Theory & Applications. Jun2018, Vol. 177 Issue 3, p660-678. 19p. |
| مصطلحات موضوعية: |
*EXTREMAL problems (Mathematics), *SEPARATION of variables, *PARAMETRIC processes, *LAGRANGIAN functions, *MATHEMATICAL optimization |
| مستخلص: |
In Part I, sufficient and necessary optimality conditions and the image regularity conditions of constrained scalar and vector extremum problems are reviewed for Image Space Analysis. Part II presents the main feature of the duality and penalization of constrained scalar and vector extremum problems by virtue of Image Space Analysis. In the light, as said in Part I and Part II, to describe the state of Image Space Analysis for constrained optimization, and to stress that it allows us to unify and generalize the several topics of Optimization, in this Part III, we continue to give an exhaustive literature review on separation functions, gap functions and error bounds for generalized systems. Part III also throws light on some research gaps and concludes with the scope of future research in this area. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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