Minimizing convex quadratic with variable precision conjugate gradients

التفاصيل البيبلوغرافية
العنوان: Minimizing convex quadratic with variable precision conjugate gradients
المؤلفون: Gratton, S., Simon, E., Titley-Peloquin, D., Toint, Ph. L.
سنة النشر: 2018
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Mathematics - Optimization and Control, 90C20, 65F10, 65G99, F.2.1, G.1.3, B.2.3, B.2.4
الوصف: We investigate the method of conjugate gradients, exploiting inaccurate matrix-vector products, for the solution of convex quadratic optimization problems. Theoretical performance bounds are derived, and the necessary quantities occurring in the theoretical bounds estimated, leading to a practical algorithm. Numerical experiments suggest that this approach has significant potential, including in the steadily more important context of multi-precision computations
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1807.07476
رقم الأكسشن: edsarx.1807.07476
قاعدة البيانات: arXiv