کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416016 1631091 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The QRD and SVD of matrices over a real algebra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The QRD and SVD of matrices over a real algebra
چکیده انگلیسی

Recent work in the field of signal processing has shown that the singular value decomposition of a matrix with entries in certain real algebras can be a powerful tool. In this article we show how to generalise the QR decomposition and SVD to a wide class of real algebras, including all finite-dimensional semi-simple algebras, (twisted) group algebras and Clifford algebras. Two approaches are described for computing the QRD/SVD: one Jacobi method with a generalised Givens rotation, and one based on the Artin-Wedderburn theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 504, 1 September 2016, Pages 27-47
نویسندگان
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