Numerical linear algebra for quaternions — fast, practical, and well‑tested. QuatIca was inspired by the pioneering work in quaternion linear algebra, particularly the QTFM (Quaternion Toolbox for ...

Inspired by Stark's analytic proof of class number finiteness of a ring of integers in an algebraic number field, we give a new proof of the finiteness of the number of classes of ideals in a maximal ...

This is a preview. Log in through your library . Abstract For a compact Hausdorff space X, let C(X, H) denote the set of all quaternion-valued functions on X. It is proved that if a real B*-algebra A ...

Abstract: Vector filtering of signals and images has many applications, but there is little theoretical framework underpinning rather ad-hoc approaches to the development of such filters. In this ...

FOR many years Hamilton's “Lectures” and “Elements” have been out of print, and the ardent student of quaternions was oftentimes unable to secure a copy of either of these great classics. Prof. Tait's ...

Abstract: This article highlights the pivotal role of dual quaternion Laplacians in the control of rigid-body roto-translation formations. We propose a new distributed and linear control framework ...