A new Legendre polynomial approach for computing the matrix exponential action on a vector
We propose a new approach for computing the action of the matrix exponential over a vector. The approach is based on a Legendre polynomial expansion in the framework of the so‐called ★$\star$‐product solution to ODEs. The new approach can be combined with Krylov subspace methods.
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| Published in | Proceedings in applied mathematics and mechanics Vol. 24; no. 4 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
01.12.2024
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| Online Access | Get full text |
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| Summary: | We propose a new approach for computing the action of the matrix exponential over a vector. The approach is based on a Legendre polynomial expansion in the framework of the so‐called ★$\star$‐product solution to ODEs. The new approach can be combined with Krylov subspace methods. |
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| ISSN: | 1617-7061 1617-7061 |
| DOI: | 10.1002/pamm.202400049 |