کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1136226 1489153 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Low-rank update of preconditioners for the inexact Newton method with SPD Jacobian
چکیده انگلیسی

In this note preconditioners for the Conjugate Gradient method are studied to solve the Newton system with a symmetric positive definite Jacobian. In particular, we define a sequence of preconditioners built by means of BFGS rank-two updates. Reasonable conditions are derived which guarantee that the preconditioned matrices are not far from the identity in a matrix norm. Some notes on the implementation of the corresponding inexact Newton method are given and some numerical results on a number of model problems illustrate the efficiency of the proposed preconditioners.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 54, Issues 7–8, October 2011, Pages 1863–1873
نویسندگان
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