The Matrix Cookbook
by Kaare Brandt Petersen, Michael Syskind Pedersen
Number of pages: 67
These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone who wants a quick desktop reference.
Download or read it online for free here:
by Shmuel Friedland - University of Illinois at Chicago
From the table of contents: Domains, Modules and Matrices; Canonical Forms for Similarity; Functions of Matrices and Analytic Similarity; Inner product spaces; Elements of Multilinear Algebra; Nonnegative matrices; Convexity.
by Percy Deift, Peter Forrester (eds) - Cambridge University Press
Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range of applications. The book contains articles on random matrix theory such as integrability and free probability theory.
by Alun Wyn-jones
The goal of this book is to describe circulants in an algebraic context. It oscillates between the point of view of circulants as a commutative algebra, and the concrete point of view of circulants as matrices with emphasis on their determinants.
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv
This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. The concepts of fuzzy bimatrices is introduced.