Geodesic
Problems of parallel solution of large systems of linear algebraic equations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 112-127

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The paper considers some modern problems arising in developing parallel algorithms for solving large systems of linear algebraic equations with sparse matrices occurring in mathematical modeling of real-life processes and phenomena on a multiprocessor computer system (MCS). Two main requirements to methods and technologies under consideration are fast convergence of iterations and scalable parallelism, which are intrinsically contradictory and need a special investigation. The paper analyzes main trends is developing preconditioned iterative methods in Krylov's subspaces based on algebraic domain decomposition and principles of their program implementation on a geterogeneous MCS with hierarchical memory structure. 
@article{ZNSL_2015_439_a10,
     author = {V. P. Il'in},
     title = {Problems of parallel solution of large systems of linear algebraic equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--127},
     publisher = {mathdoc},
     volume = {439},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a10/}
}
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V. P. Il'in. Problems of parallel solution of large systems of linear algebraic equations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 112-127. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a10/