Superfast Iterative Solvers for Linear Matrix Equations
Микрин Евгений Анатольевич, Nikolay E. Zubov, D. E. Efanov, Vladimir Nikolaevich Ryabchenko · Doklady Mathematics · 2018
Superfast algorithms for solving large systems of linear equations are developed on the basis of an original method for multistep decomposition of a linear multidimensional dynamical system. Examples of analytical synthesis of iterative solvers for matrices of the general form and for large numerical systems of linear algebraic equations are given. For the analytical case, it is shown that convergence occurs at the second iteration.