کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706047 1012448 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The semismooth and smoothing Newton methods for solving Pareto eigenvalue problem
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The semismooth and smoothing Newton methods for solving Pareto eigenvalue problem
چکیده انگلیسی

In this paper, we study the numerical behavior of the semismooth and smoothing Newton methods for solving Pareto eigenvalue problem of the formx⩾0,Ax-λBx⩾0,〈x,Ax-λBx〉=0,where (A, B) is a pair of possibly asymmetric matrices of order n. Such an eigenvalue problem arises in mechanics and in other areas of applied mathematics. By using the (smoothing) Fischer-Burmeister NCP function and the normalization condition eTx = 1, the Pareto eigenvalue problem can be converted into a equivalent semismooth (or smoothing) system of equations, where e = (1, … , 1)T. Then a semismooth (or smoothing) Newton algorithm is designed to solve such a semismooth (or smoothing) system of equations. Some numerical results are reported in the paper, which indicates that the proposed algorithms are very effective.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 1, January 2012, Pages 279–287
نویسندگان
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