کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667486 1345462 2008 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Noncommutative spectral decomposition with quasideterminant
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Noncommutative spectral decomposition with quasideterminant
چکیده انگلیسی

We develop a noncommutative analogue of the spectral decomposition with the quasideterminant defined by I. Gelfand and V. Retakh. In this theory, by introducing a noncommutative Lagrange interpolating polynomial and combining a noncommutative Cayley–Hamilton's theorem and an identity given by a Vandermonde-like quasideterminant, we can systematically calculate a function of a matrix even if it has noncommutative entries. As examples, the noncommutative spectral decomposition and the exponential matrices of a quaternionic matrix and of a matrix with entries being harmonic oscillators are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 217, Issue 5, 20 March 2008, Pages 2141-2158