4 papers
Special Relativity, Einstein Velocity Addition, and Gyrogroups: An Introduction
Jimmie D. Lawson
In these notes we give an introductory unified treatment to the topics of special relativity, Lorentz transformations and the Lorentz group, Einstein velocitiy addition, and gyrogr…
The Expanding Universe of the Geometric Mean
Jimmie D. Lawson, Yongdo Lim
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone of positive definite matrices u…
Existence and Uniqueness of the Karcher Mean on Unital -algebras
Jimmie Lawson
The Karcher mean on the cone of invertible positive elements of the -algebra of bounded operators on a Hilbert space has recently been extended to a c…
Monotonic Properties of the Least Squares Mean
Jimmie Lawson, Yongdo Lim
We settle an open problem of several years standing by showing that the least-squares mean for positive definite matrices is monotone for the usual (Loewner) order. Indeed we show…