太原科技大学学报
太原科技大學學報
태원과기대학학보
JOURNAL OF TAIYUAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
2014年
2期
156-160
,共5页
最优曲线%信赖域子问题%精确求解法%修正分段割线法
最優麯線%信賴域子問題%精確求解法%脩正分段割線法
최우곡선%신뢰역자문제%정학구해법%수정분단할선법
optimal curve%trust region subproblem%accurate solution method%modified subsection secant method
在Hessian阵不定的情形下,分别选取两种不定修正方法,通过数值实验分析并对比了这两种方法下最优解的情况。最后综合考虑了两种方法的优缺点,提出了求解信赖域子问题的修正分段割线算法。数值结果表明此修正是有效且可行的。
在Hessian陣不定的情形下,分彆選取兩種不定脩正方法,通過數值實驗分析併對比瞭這兩種方法下最優解的情況。最後綜閤攷慮瞭兩種方法的優缺點,提齣瞭求解信賴域子問題的脩正分段割線算法。數值結果錶明此脩正是有效且可行的。
재Hessian진불정적정형하,분별선취량충불정수정방법,통과수치실험분석병대비료저량충방법하최우해적정황。최후종합고필료량충방법적우결점,제출료구해신뢰역자문제적수정분단할선산법。수치결과표명차수정시유효차가행적。
In the case of Hessian matrix as an indefinite matrix, two kinds of modified methods were selected for in-definite matrix, the optimal solution of these two methods was analyzed and compared through numerical experi-ments. Considering the pros and cons of these two methods,a modified subsection secant method for solving trust re-gion subproblem was presented. The results of numerical experiments indicate that the modified method is effective and practical.