Academic Journal
Acceleration of Iterative Methods for Solving Linear Inverse Problems Based on Low-Rank Approximation.
| Τίτλος: | Acceleration of Iterative Methods for Solving Linear Inverse Problems Based on Low-Rank Approximation. |
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| Συγγραφείς: | Valiakhmetov, B. I.1,2 (AUTHOR) valiahmetovbi@my.msu.ru, Lukyanenko, D. V.3 (AUTHOR) lukyanenko@physics.msu.ru, Tyrtyshnikov, E. E.1,2 (AUTHOR) tee@inm.ras.ru |
| Πηγή: | Computational Mathematics & Mathematical Physics. Jan2026, Vol. 66 Issue 1, p1-14. 14p. |
| Θεματικοί όροι: | *Iterative methods (Mathematics), *Inverse problems, *Algebraic equations, *Electronic data processing, *Optimization algorithms |
| Περίληψη: | An efficient method is proposed for constructing a preconditioner for accelerated solution of systems of linear algebraic equations arising in solving linear inverse problems. The method relies on the properties of a low-rank approximation of the original system matrix and allows for a significant reduction in the number of iterations in iterative solution methods. Significant savings in computational resources can be achieved in the inverse problem of processing experimental data measured in a spatial domain separated from the domain of localization of the quantities to be reconstructed. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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