کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640189 1341265 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Singularity, Wielandt’s lemma and singular values
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Singularity, Wielandt’s lemma and singular values
چکیده انگلیسی

In this study, some upper and lower bounds for singular values of a general complex matrix are investigated, according to singularity and Wielandt’s lemma of matrices. Especially, some relationships between the singular values of the matrix AA and its block norm matrix are established. Based on these relationships, one may obtain the effective estimates for the singular values of large matrices by using the lower dimension norm matrices. In addition, a small error in Piazza (2002) [G. Piazza, T. Politi, An upper bound for the condition number of a matrix in spectral norm, J. Comput. Appl. Math. 143 (1) (2002) 141–144] is also corrected. Some numerical experiments on saddle point problems show that these results are simple and sharp under suitable conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 10, 15 September 2010, Pages 2943–2952
نویسندگان
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