کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603720 1336970 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the angular metrics between linear subspaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the angular metrics between linear subspaces
چکیده انگلیسی

It has recently been shown that the symmetric gauge functions on the canonical (principal) angles give a family of unitarily invariant metrics between linear subspaces of the same dimension. In this short paper, we extend such metrics to subspaces of possibly different dimensions. This extension is necessary in addressing some perturbation analysis problems involving subspaces with different dimensions. Examples of such perturbation analysis problems are also studied in this paper using the extended metrics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 421, Issue 1, 1 February 2007, Pages 163-170