In this paper we are interested in the polynomial Krylov approximations for the computation of ϕ(A)v, where A is a square matrix, v represents a given vector, and ϕ is a suitable function which can be employed in modern integrators for differential problems. Our aim consists of proposing and analyzing innovative a posteriori error estimates which allow a good control of the approximation procedure. The effectiveness of the results we provide is tested on some numerical examples of interest.
Error estimates for polynomial Krylov approximations to matrix functions / Diele, F; Moret, Igor; Ragni, S.. - In: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. - ISSN 0895-4798. - STAMPA. - 30:(2009), pp. 1546-1565. [10.1137/070688924]
Error estimates for polynomial Krylov approximations to matrix functions
MORET, IGOR;
2009-01-01
Abstract
In this paper we are interested in the polynomial Krylov approximations for the computation of ϕ(A)v, where A is a square matrix, v represents a given vector, and ϕ is a suitable function which can be employed in modern integrators for differential problems. Our aim consists of proposing and analyzing innovative a posteriori error estimates which allow a good control of the approximation procedure. The effectiveness of the results we provide is tested on some numerical examples of interest.Pubblicazioni consigliate
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