A conjugate gradient like method for p-norm minimization in functional spaces

We develop an iterative algorithm to recover the minimum p -norm solution of the functional linear equation A x = b , where A : X ⟶ Y is a continuous linear operator between the two Banach spaces X = L p , 1 < p < 2 , and Y = L r , r > 1 , with x ∈ X and b ∈ Y . The algorithm is conceived w...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 137; no. 4; pp. 895 - 922
Main Authors:	Estatico, Claudio, Gratton, Serge, Lenti, Flavia, Titley-Peloquin, David
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017 Springer Nature B.V Springer Verlag
Subjects:	Algorithms Banach spaces Computer Arithmetic Computer Science Conjugate gradient method Descent Hilbert space Iterative algorithms Iterative methods Linear equations Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Queuing theory Regularization Restoration Robustness (mathematics) Simulation Smoothness Theoretical 65F10 47A52 65J20 Conjugate gradient method Iterative regularization Banach spaces
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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