کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627610 1631812 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Condition number and backward errors of nonsymmetric algebraic Riccati equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Condition number and backward errors of nonsymmetric algebraic Riccati equation
چکیده انگلیسی

The normwise condition number and two kinds of backward errors are considered when nonsymmetric algebraic Riccati equation (NARE) has the minimal nonnegative solution. Based on the techniques for the symmetric case, we apply the condition number theory developed by Rice to define condition number for NARE. The explicit expression is derived in a uniform manner. Meanwhile, two kinds of backward errors are defined and evaluated by the explicit formulas. Numerical experiments are listed to illustrate and compare the practical performance.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 716–728
نویسندگان
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