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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Vydané v:	Numerische Mathematik Ročník 137; číslo 4; s. 895 - 922
Hlavní autori:	Estatico, Claudio, Gratton, Serge, Lenti, Flavia, Titley-Peloquin, David
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017 Springer Nature B.V Springer Verlag
Predmet:	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
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