Titlebook: Inverse Linear Problems on Hilbert Space and their Krylov Solvability; Noè Angelo Caruso,Alessandro Michelangeli Book 2021 The Editor(s) (

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https://doi.org/10.1007/978-3-030-88159-7inverse linear problems on Hilbert space; infinite-dimensional Hilbert space; ill-posed problems; ortho

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Noè Angelo Caruso,Alessandro MichelangeliGives a detailed presentation of the theory of abstract inverse linear problems on Hilbert space.Provides the first comprehensive analysis of Krylov solvability.Includes a multitude of novel results p

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Springer Monographs in Mathematicshttp://image.papertrans.cn/i/image/474667.jpg

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Introduction and Motivation,The primary focus of this book is inverse linear problems and the possibility of expressing their solutions in terms of convenient approximants produced by iterative algorithms.

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Krylov Solvability of Unbounded Inverse Problems,We discuss in this Chapter an attempt of systematic extension of the analysis of Chap. . on the Krylov solvability of the inverse linear problem (.), switching now to the general case where the operator . is possibly ..

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Krylov Solvability in a Perturbative Framework,So far in this book the discussion has concerned inverse linear problems where both the datum . and the linear operator . are known .. A more general perspective is to allow for an amount of uncertainty affecting the knowledge of ., or ., or both.