Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.
Rezensionen / Stimmen
I found Laub's book a delightful read. It has become the sixth valuable Matrix Analysis book on my shelves. As well as being admirably suited for the course at which it is aimed, its conciseness and clarity of presentation, together with the good index, make it easy to use for reference. The book is recommended both as a course text and as a handy guide to the subject.""- Nicholas J. Higham, University of Manchester, SIAM Review
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
Maße
Höhe: 255 mm
Breite: 178 mm
Dicke: 9 mm
Gewicht
ISBN-13
978-0-89871-576-7 (9780898715767)
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Schweitzer Klassifikation
Preface
Chapter 1: Introduction and Review
Chapter 2: Vector Spaces
Chapter 3: Linear Transformations
Chapter 4: Introduction to the Moore-Penrose Pseudoinverse
Chapter 5: Introduction to the Singular Value Decomposition
Chapter 6: Linear Equations
Chapter 7: Projections, Inner Product Spaces, and Norms
Chapter 8: Linear Least Squares Problems
Chapter 9: Eigenvalues and Eigenvectors
Chapter 10: Canonical Forms
Chapter 11: Linear Differential and Difference Equations
Chapter 12: Generalized Eigenvalue Problems
Chapter 13. Kronecker Products
Bibliography
Index.