This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.

Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear...

This book is a study of the life, monastic writings, and spiritual theology of John Cassian (c., 360-435). His Institutes and Conferences are a remarkable synthesis of earlier monastic traditions, especially those of fourth-century Egypt, informed throughout by Cassian's awareness of the particular needs of the Latin monastic movement he was helping to shape. Sometimes portrayed as simply an advocate of the sophisticated spiritual theology of Evagrius of Ponticus (360-435), Cassian was actually a theologian of keen insight, realism, and creativity. His teaching on...

This is a collection of new, specially written essays on the flowering of modern philosophy on the continent of Europe. The eight leading contributors focus on the work of Descartes, later Cartesians, Leibniz, and Bayle, reassessing the influence of Augustine on Descartes and of the Reformed tradition on Leibniz, and tracing anticipations of Leibniz's monadology in the cabbalistic notions of van Helmont, the preformationist theories of Malebranche, and the experimental work of Dutch microscopists.