کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
865338 909661 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamic System for Solving Saddle Point Problems in Hilbert Spaces and Its Application to Neural Computing
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Dynamic System for Solving Saddle Point Problems in Hilbert Spaces and Its Application to Neural Computing
چکیده انگلیسی
This paper studies the existence and uniqueness of solutions and the stability and convergence of a dynamic system for solving saddle point problems (SPP) in Hilbert spaces. The analysis first converts the SPP into a problem of searching for equilibriums of a dynamic system using a criterion for solutions of the SPP, then shows the existence and uniqueness of the solutions by creating a positive function whose Fréchet derivative is decreasing along any solution. The construction of positively invariant subsets gives the global stability and convergence of this dynamic system, that is, the dynamic system globally converges to some exact solution of the SPP. Finally, the paper also shows that the obtained results can be applied to neural computing for solving SPP.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Tsinghua Science & Technology - Volume 16, Issue 3, June 2011, Pages 315-319
نویسندگان
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