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Inverse Linear Problems on Hilbert Space and their Krylov Solvability

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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.

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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.

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Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Hardcover]
9783030881580
ISBN [Softcover]
9783030881610
Publisher
Birkhäuser
Year
2021
Pages
XI, 140 p.
Series Title
Springer Monographs in Mathematics
Language
English
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