Inverse Linear Problems on Hilbert Space and their Krylov Solvability is popular PDF and ePub book, written by Noè Angelo Caruso in 2022-02-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Inverse Linear Problems on Hilbert Space and their Krylov Solvability can be Read Online from any device for your convenience.
Inverse Linear Problems on Hilbert Space and their Krylov Solvability Book PDF Summary
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.
Detail Book of Inverse Linear Problems on Hilbert Space and their Krylov Solvability PDF
- Author : Noè Angelo Caruso
- Release : 10 February 2022
- Publisher : Springer Nature
- ISBN : 9783030881597
- Genre : Mathematics
- Total Page : 150 pages
- Language : English
- PDF File Size : 14,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Inverse Linear Problems on Hilbert Space and their Krylov Solvability by Noè Angelo Caruso, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.