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Inverse Linear Problems on Hilbert Space and Their Krylov Solvability

Inverse Linear Problems on Hilbert Space and Their Krylov Solvability

Hardcover

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 303088158X
ISBN13: 9783030881580
Publisher: Springer Nature
Published: Feb 11 2022
Pages: 140
Weight: 0.87
Height: 0.44 Width: 6.14 Depth: 9.21
Language: 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.

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Caruso, Noè Angelo

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General Mathematics