Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
نویسندگان
چکیده
منابع مشابه
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric and nonsymmetric linear systems of equations, as well as for certain eigenvalue calculations. This framework allows us to explain the empirical results reported in a series of CERFACS technical reports by Bouras, Frayssé, and Giraud in 2000. Furthermore, assuming exact arithmeti...
متن کاملInexact Krylov Subspace Methods for Linear Systems
There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a time consuming approximation method is necessary to compute it with some prescribed relative precision. In this paper we investigate the effect of an approximately computed matrix-vector product on the convergence and accuracy of several Krylov subspace solvers. The obtained insi...
متن کاملInexact Krylov subspace methods for linear systems by
There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a time consuming approximation method is necessary to compute it with some prescribed relative precision. In this paper we investigate the effect of an approximately computed matrix-vector product on the convergence and accuracy of several Krylov subspace solvers. The obtained insi...
متن کاملKrylov Subspace Methods and Applications to System and Control Problems
In this report the Krylov subspace methods are reviewed and some applications in linear system theory and modern control theory are introduced. A modiication to the Arnoldi-based method to solve the Lyapunov matrix equation is also proposed.
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2003
ISSN: 1064-8275,1095-7197
DOI: 10.1137/s1064827502406415