Optimal Solvers for Linear Systems with Fractional Powers of Sparse SPD Matrices

Stanislav Harizanov, Raytcho Lazarov, Pencho Marinov +2

In this paper we consider efficient algorithms for solving the algebraic equation ${\mathcal{A}}^{\alpha }\mathbf{u}=\mathbf{f}$, $0<\alpha <1$, where $\mathcal{A}$ is a symmetric and positive defini…