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- W2074646993 abstract "The approximation of exp(A)V, where A is a real matrix and V a rectangular matrix, is the key ingredient of many exponential integrators for solving systems of ordinary differential equations. The use of Krylov subspace techniques in this context has been actively investigated; see Calledoni and Moret (1997) [10], Hochbruck and Lubich (1997) [17], Saad (1992) [20]. An appropriate structure preserving block method for approximating exp(A)V, where A is a large square real matrix and V a rectangular matrix, is given in Lopez and Simoncini (2006) [18]. A symplectic Krylov method to approximate exp(A)V was also proposed in Agoujil et al. (2012) [2] with V∈R2n×2. The purpose of this work is to describe a structure preserving block Krylov method for approximating exp(A)V when A is a Hamiltonian or skew-Hamiltonian 2n-by-2n real matrix and V is a 2n-by-2s matrix (s≪n). Our approach is based on block Krylov subspace methods that preserve Hamiltonian and skew-Hamiltonian structures." @default.
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- W2074646993 date "2014-01-01" @default.
- W2074646993 modified "2023-09-24" @default.
- W2074646993 title "Approximation of the matrix exponential operator by a structure-preserving block Arnoldi-type method" @default.
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- W2074646993 doi "https://doi.org/10.1016/j.apnum.2012.11.008" @default.
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