کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642885 1341359 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Experiments on orthogonalization by biorthogonal representations of orthogonal projectors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Experiments on orthogonalization by biorthogonal representations of orthogonal projectors
چکیده انگلیسی

A number of experiments are performed with the aim of enhancing a particular feature arising when biorthogonal sequences are used for the purpose of orthogonalization. It is shown that an orthogonalization process executed by biorthogonal sequences and followed by a re-orthogonalization step admits four numerically different realizations. The four possibilities are originated by the fact that, although an orthogonal projector is by definition a self-adjoint operator, due to numerical errors in finite precision arithmetic the biorthogonal representation does not fulfil such a property. In the experiments presented here one of the realizations is shown clearly numerically superior to the remaining three.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 205, Issue 1, 1 August 2007, Pages 545–551
نویسندگان
, ,