Geodesic
On the preconditioning of three-by-three block saddle point problems
Filomat, Tome 35 (2021) no. 15, p. 5181

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DOI

We establish a new iterative method for solving a class of large and sparse linear systems of equations with three-by-three block coefficient matrices having saddle point structure. Convergence properties of the proposed method are studied in details and its induced preconditioner is examined for accelerating the convergence speed of generalized minimal residual (GMRES) method. More precisely, we analyze the eigenvalue distribution of the preconditioned matrix. Numerical experiments are reported to demonstrate the effectiveness of the proposed preconditioner
DOI : 10.2298/FIL2115181A
Classification : 65F10, 65F50, 65F08
Keywords: Iterative methods, sparse matrices, saddle point, convergence, preconditioning, Krylov methods 
Hamed Aslani; Davod Khojasteh Salkuyeh; Fatemeh Panjeh Ali Beik. On the preconditioning of three-by-three block saddle point problems. Filomat, Tome 35 (2021) no. 15, p. 5181 . doi: 10.2298/FIL2115181A
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     title = {On the preconditioning of three-by-three block saddle point problems},
     journal = {Filomat},
     pages = {5181 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115181A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115181A/}
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