This book begins with the fundamentals of the generalized inverses, then
moves to more advanced topics.
It presents a theoretical study of the generalization of Cramer's rule,
determinant representations of the generalized inverses, reverse order
law of the generalized inverses of a matrix product, structures of the
generalized inverses of structured matrices, parallel computation of the
generalized inverses, perturbation analysis of the generalized inverses,
an algorithmic study of the computational methods for the full-rank
factorization of a generalized inverse, generalized singular value
decomposition, imbedding method, finite method, generalized inverses of
polynomial matrices, and generalized inverses of linear operators. This
book is intended for researchers, postdocs, and graduate students in the
area of the generalized inverses with an undergraduate-level
understanding of linear algebra.