Share
Inverse Linear Problems on Hilbert Space and Their Krylov Solvability (in English)
Noè Angelo Caruso
(Author)
·
Alessandro Michelangeli
(Author)
·
Springer
· Paperback
Inverse Linear Problems on Hilbert Space and Their Krylov Solvability (in English) - Caruso, Noè Angelo ; Michelangeli, Alessandro
$ 113.67
$ 119.99
You save: $ 6.32
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Friday, August 02 and
Friday, August 09.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Inverse Linear Problems on Hilbert Space and Their Krylov Solvability (in English)"
This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space. Given an unknown vector f in a Hilbert space H, a linear operator A acting on H, and a vector g in H satisfying Af=g, one is interested in approximating f by finite linear combinations of g, Ag, A2g, A3g, ... The closed subspace generated by the latter vectors is called the Krylov subspace of H generated by g and A. The possibility of solving this inverse problem by means of projection methods on the Krylov subspace is the main focus of this text.After giving a broad introduction to the subject, examples and counterexamples of Krylov-solvable and non-solvable inverse problems are provided, together with results on uniqueness of solutions, classes of operators inducing Krylov-solvable inverse problems, and the behaviour of Krylov subspaces under small perturbations. An appendix collects material on weaker convergence phenomena in general projection methods.This subject of this book lies at the boundary of functional analysis/operator theory and numerical analysis/approximation theory and will be of interest to graduate students and researchers in any of these fields.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
✓ Producto agregado correctamente al carro, Ir a Pagar.
