Matrix Analysis and Entrywise Positivity Preservers (Paperback)
Language: English
Published by Cambridge University Press, Cambridge, 2022
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 94.49
Quantity: 1 available
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Paperback. Matrices and kernels with positivity structures, and the question of entrywise functions preserving them, have been studied throughout the 20th century, attracting recent interest in connection to high-dimensional covariance estimation. This is the first book to systematically develop the theoretical foundations of the entrywise calculus, focusing on entrywise operations - or transforms - of matrices and kernels with additional structure, which preserve positive semidefiniteness. Designed as an introduction for students, it presents an in-depth and comprehensive view of the subject, from early results to recent progress. Topics include: structural results about, and classifying the preservers of positive semidefiniteness and other Loewner properties (monotonicity, convexity, super-additivity); historical connections to metric geometry; classical connections to moment problems; and recent connections to combinatorics and Schur polynomials. Based on the author's course, the book is structured for use as lecture notes, including exercises for students, yet can also function as a comprehensive reference text for experts. This is the first book on matrix and kernel transforms preserving positivity structures. It is self-contained and only requires modest prerequisites in analysis and linear algebra. Covering deep results and modern progress, the book succeeds as an introduction for beginners and a comprehensive reference for experts. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9781108792042
- Title
- Matrix Analysis and Entrywise Positivity Preservers (Paperback)
- Author
- Apoorva Khare
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2022
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1108792049
- ISBN 13
- 9781108792042
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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