Other Topics

Abstract

We collect in this final chapter a number of different topics. In Section 6.1 we deal with matrices that have nonnegative or positive entries, or whose inverses have this property. Such matrices arise in a number of application areas, and there are many beautiful and striking results concerning them. In Section 6.2 we treat various extensions of the eigenvalue problem, including the so-called generalized eigenvalue problem and higher-order problems. In Section 6.3 we consider some very special, but important, types of matrices, including Kronecker products and circulants. Finally, in Section 6.4, we deal with matrix equations and commutativity of matrices.