Overview

This is an excellent and unusual textbook on the application of the theory of matrices. ... The text includes many chapters of interest to applied mathematicians. -Zentralblatt MATH This book is part of a two-volume set (the first volume is published by the AMS as volume 131 in the same series). Written by one of Russia's leading mathematicians, this treatise provides us, in easily accessible form, a coherent account of matrix theory with a view toward applications in mathematics, theoretical physics, statistics, electrical engineering, etc. The individual chapters have been kept as far as possible independent of each other, so that the reader acquainted with the contents of Chapter 1 of the first volume can proceed immediately to chapters of special interest. In this volume the reader will find the study of singular pencils of matrices, properties of matrices with nonnegative elements, applications to systems of linear differential equations, and the study of the Routh-Hurwitz problem and related questions.

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9781470481605

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This is an excellent and unusual textbook on the application of the theory of matrices. In spite of intensive developments in the theory of matrices and appearance of other significant books, both general and specialized, in the last four decades, this monograph has retained its leading role. This textual matter includes many chapters of interest to applied mathematicians."""" — Zentralblatt MATH From a review of the original Russian edition """"... The first part (10 chapters; """"General theory"""") gives in satisfactory detail, and with more than customary completeness, the topics which belong to the main body of the ... subjects ... The point of view is broad and includes much abstract treatment ... The number of subjects which the book treats well is great ... would appeal to a wide audience."""" — Mathematical Reviews From a review of the English translation """"... The work is an outstanding contribution to matrix theory and contains much material not to be found in any other text."""" — Mathematical Reviews

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