Geodesic
Some iterative methods for solving operator equations by using fusion frames
Filomat, Tome 36 (2022) no. 6, p. 1955

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, two iterative methods are constructed to solve the operator equation Lu = f where L : H → H is a bounded, invertible and self-adjoint linear operator on a separable Hilbert space H. By using the concept of fusion frames, which is a generalization of frame theory, we design some algorithms based on Chebyshev polynomials and adaptive one according to conjugate gradient iterative method, and accordingly, we then investigate their convergence via their correspond convergence rates.
DOI : 10.2298/FIL2206955J
Classification : 65F10, 65B99
Keywords: Hilbert spaces, Operator equation, Frame, Fusion frames, Chebyshev polynomials, Conjugate gradient method 
Hasan Jamali; Mohsen Kolahdouz. Some iterative methods for solving operator equations by using fusion frames. Filomat, Tome 36 (2022) no. 6, p. 1955 . doi: 10.2298/FIL2206955J
@article{10_2298_FIL2206955J,
     author = {Hasan Jamali and Mohsen Kolahdouz},
     title = {Some iterative methods for solving operator equations by using fusion frames},
     journal = {Filomat},
     pages = {1955 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206955J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206955J/}
}
TY  - JOUR
AU  - Hasan Jamali
AU  - Mohsen Kolahdouz
TI  - Some iterative methods for solving operator equations by using fusion frames
JO  - Filomat
PY  - 2022
SP  - 1955 
VL  - 36
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2206955J/
DO  - 10.2298/FIL2206955J
LA  - en
ID  - 10_2298_FIL2206955J
ER  - 
%0 Journal Article
%A Hasan Jamali
%A Mohsen Kolahdouz
%T Some iterative methods for solving operator equations by using fusion frames
%J Filomat
%D 2022
%P 1955 
%V 36
%N 6
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2206955J/
%R 10.2298/FIL2206955J
%G en
%F 10_2298_FIL2206955J

Cité par Sources :