Description
Book SynopsisMatrix theory is a classical topic of algebra that had originated, in its current form, in the middle of the 19th century. It is remarkable that for more than 150 years it continues to be an active area of research full of new discoveries and new applications. This presents modern perspectives of matrix theory at the level accessible to graduate students.
Trade Review“There are plenty of exercises to be had, and the author’s goal is clearly to guide able and willing graduate students toward research in this area … I think Zhan will be successful in this enterprise: it’s a very nice book indeed.”
-- MAA
Table of ContentsTable of Contents:
- Preliminaries
- Tensor products and compound matrices
- Hermitian matrices and majorization
- Singular values and unitarily invariant norms
- Perturbation of matrices
- Nonnegative matrices
- Completion of partial matrices
- Sign patterns
- Miscellaneous topics
- Applications of matrices
- Unsolved problems
- Bibliography
- Notation
- Index
