Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
Honorable Mention for the 2005 Award for Best Professional/Scholarly Book in Mathematics and Statistics, Association of American Publishers"This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Their decision to prepare this volume is indeed a momentous event."--Current Engineering Practice"The overall organization of the book is a methodological masterpiece. The splitting of the huge amount of material into sixty short self-contained essays is extremely reader-friendly. The writing is extremely lucid and intriguing. . . . The many figures illustrate the mathematics in an unusually fascinating way."--Albrecht Böttcher,Linear Algebra and its Applications"The book contains good introductions to a wide variety of application areas and research topics and is a very appropriate text for a graduate-level seminar. For those interested in pursuing these topics further, the bibliography is an absolute treasure!. . . It is an invaluable resource for anyone working in the area of nonnormal matrices and linear operators or for anyone involved in an application where nonnormality is important."--Anne Greenbaum,SIAM Review"We suggest . . . strongly that the book be opened and read. . . . One will profit by getting considerable insight into a rich variety of phenomena and being acquainted with a large number of beautiful mathematical thoughts."--H. Muthsam Wien,Monatshefte für Mathematik"The book has been written at a level to be accessible to a wide audience of students of the applied sciences. The subject matter has been carefully referenced, Many illustrations are provided showing an amazing diversity of spectra end pseudospectra. A detailed chapter is provided for those who wish to generate software to approximate the spectrum and pseudospectrum in a particular application."--J. B. Butler,Zentralblatt Math