This project explores the differences between two fundamental algorithms—Preconditioned Steepest Descent (PSD) and Preconditioned Conjugate Gradient (PCG)—which are crucial for efficiently solving ...
Abstract: Fuzzy system of linear equations (FSLE) comes from many fields, including mathematics, physics, engineering and so on. It is an interesting work to study numerical methods solving the system ...
Copyright by Davide Palitta (University of Bologna), Martina Iannacito (University of Bologna), and Valeria Simoncini (University of Bologna). The software is ...
Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...
Abstract: A new preconditioned solution with two controlling parameters for linear equations with large sparse symmetric and indefinite matrix is presented in this paper. Through theoretical analysis, ...
You do not have access to this resource. Krylov methods for solving linear systems are generally used with a preconditioner which accelerates the convergence. They only require matrix multiplication ...
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