On four-layer iterative scheme
https://doi.org/10.12737/22155
Abstract
The work objective is to study the four-layer scheme convergence rate. The problem of finding an approximate solution to the linear operator equation Au = f is considered. Two-layer and three-layer iterative methods are used to solve this problem. At that, the three-layer conjugate directions methods converge faster than the two-layer gradient methods. The research problem is to establish whether the four-layer scheme has a speed advantage as compared to the three-layer scheme. The four-layer scheme is constructed, and its parameters are calculated for this purpose. It is proved that the four-layer iterative scheme of a variational type for solving finite-difference equations downs to the three-layer scheme.
About the Authors
Yulia V. Belova
Don State Technical University
Russian Federation
Russian Federation
Alexander E. Chistyakov
Don State Technical University
Russian Federation
Russian Federation
Elena A. Protsenko
Rostov State University of Economics
Russian Federation
Russian Federation
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Review
For citations:
Belova Yu.V., Chistyakov A.E., Protsenko E.A. On four-layer iterative scheme. Vestnik of Don State Technical University. 2016;16(4):146-149. (In Russ.) https://doi.org/10.12737/22155
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