کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
416344 681335 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An application of the modified Leverrier–Faddeev algorithm to the spectral decomposition of symmetric block-circulant matrices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
An application of the modified Leverrier–Faddeev algorithm to the spectral decomposition of symmetric block-circulant matrices
چکیده انگلیسی

The Leverrier–Faddeev algorithm is little-known but, in a modified form, is useful for deriving the algebraic, rather than numerical, spectral structure of matrices occurring in statistical methodology. An example is given of deriving the spectral decomposition of any symmetric block-circulant matrix, which in turn provides the singular value decomposition of any block-circulant matrix. Such problems arise as short-cuts to certain computations that arise in special forms of principal components analysis and correspondence analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 50, Issue 1, 10 January 2006, Pages 89–106
نویسندگان
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