Matrix differential equations and inverse preconditioners
نویسندگان
چکیده
منابع مشابه
Matrix differential equations and inverse preconditioners
In this article, we propose to model the inverse of a given matrix as the state of a proper first order matrix differential equation. The inverse can correspond to a finite value of the independent variable or can be reached as a steady state. In both cases we derive corresponding dynamical systems and establish stability and convergence results. The application of a numerical time marching sch...
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Circulant Preconditioners for Solving Ordinary Differential Equations
In this paper, we consider the solution of ordinary diierential equations using boundary value methods. These methods require the solutions of one or more unsymmetric, large and sparse linear systems. Krylov subspace methods with the Strang block-circulant preconditioners are proposed for solving these linear systems. We prove that our preconditioners are invertible and all the eigenvalues of t...
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متن کاملParallel Approximate Inverse Preconditioners
There has been much excitement recently over the use of approximate inverses for parallel preconditioning. The preconditioning operation is simply a matrix-vector product, and in the most popular formulations, the construction of the approximate inverse seems embarassingly parallel. However, diiculties arise in practical parallel implementations. This paper will survey approximate inverse preco...
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ژورنال
عنوان ژورنال: Clinics
سال: 2007
ISSN: 1807-0302
DOI: 10.1590/s1807-03022007000100005