The Schur Complement and Its Applications (Numerical Methods and Algorithms)
Author | : | |
Rating | : | 4.19 (789 Votes) |
Asin | : | 1441937129 |
Format Type | : | paperback |
Number of Pages | : | 295 Pages |
Publish Date | : | 2017-06-28 |
Language | : | English |
DESCRIPTION:
Disappointed said Uneven exposition levels but very good overall. A comprehensive exposition of the title subject. The historical introduction (Chapter 0) is a gem. Chapters are written by different contributors, but with a few exceptions the overall organization is coherent. One minor problem is the disparity of notations for matrix algebra used by contributors. Main missing topic: applications in high performance computing. Exhaustive bibliography.
1075, 2006). … The book can serve as a research reference, as it contains many new results and results not yet appeared in books. They can be read independently of each other. From the reviews of the first edition: "The book consists of eight chapters, each written by experts in their field, devoted to certain aspects and applications of the Schur complement. The articles contain thorough expositions, so they can be understood by anyone having a good knowledge of linear algebra." (Ludwig Elsner, Zentralblatt MATH, Vol
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.