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A Fast Cyclic Reduction Algorithm For A Quadratic Matrix Equation Arising From Overdamped Systems
2011
Zenodo
We are concerned with a class of quadratic matrix equations arising from the overdamped mass-spring system. By exploring the structure of coefficient matrices, we propose a fast cyclic reduction algorithm to calculate the extreme solutions of the equation. Numerical experiments show that the proposed algorithm outperforms the original cyclic reduction and the structure-preserving doubling algorithm.
doi:10.5281/zenodo.1331767
fatcat:dd3h443brfbwdpxt4e356pyh64