Perturbation analysis of matrices over a quaternion division algebra
نویسندگان
چکیده
منابع مشابه
A brief introduction to quaternion matrices and linear algebra and on bounded groups of quaternion matrices
The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...
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let $ m , n in mathbb{n}$, $d$ be a division ring, and $m_{m times n}(d)$ denote the bimodule of all $m times n$ matrices with entries from $d$. first, we characterize one-sided submodules of $m_{m times n}(d)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $d$. next, we introduce the notion of a nest module of matrices with entries from $d$. we ...
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ژورنال
عنوان ژورنال: Electronic Transactions on Numerical Analysis
سال: 2021
ISSN: ['1068-9613', '1097-4067']
DOI: https://doi.org/10.1553/etna_vol54s128