This balanced and comprehensive study presents the theory, methods and applications of
matrix analysis in a new theoretical framework, allowing readers to understand secondorder
and higher-order matrix analysis in a completely new light.
Alongside the core subjects in matrix analysis, such as singular value analysis, the solution
of matrix equations and eigenanalysis, the author introduces new applications and
perspectives that are unique to this book. The very topical subjects of gradient analysis
and optimization play a central role here. Also included are subspace analysis, projection
analysis and tensor analysis, subjects which are often neglected in other books. Having
provided a solid foundation to the subject, the author goes on to place particular emphasis
on the many applications matrix analysis has in science and engineering, making this book
suitable for scientists, engineers and graduate students alike.