کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599135 | 1631124 | 2015 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The product of matrix subspaces
ترجمه فارسی عنوان
محصول ماتریس زیرمجموعه
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
In factoring matrices into the product of two matrices, operations are typically performed with elements restricted to matrix subspaces. Such modest structural assumptions are realistic, for example, in large scale computations. This paper is concerned with analyzing associated matrix geometries. Curvature of the product of two matrix subspaces is assessed. The case of vanishing curvature gives rise to the notion of factorizable matrix subspace. This can be regarded as an analogue of the internal Zappa-Szép product in group theory. Interpreted in this way, several classical instances are encompassed by this structure. The Craig-Sakamoto theorem fits naturally into this framework.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 471, 15 April 2015, Pages 150-168
Journal: Linear Algebra and its Applications - Volume 471, 15 April 2015, Pages 150-168
نویسندگان
Marko Huhtanen,