@article{(Open Science Index):https://publications.waset.org/pdf/4233, title = {A Fast Cyclic Reduction Algorithm for A Quadratic Matrix Equation Arising from Overdamped Systems}, author = {Ning Dong and Bo Yu}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {8}, year = {2011}, pages = {1197 - 1202}, ee = {https://publications.waset.org/pdf/4233}, url = {https://publications.waset.org/vol/56}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 56, 2011}, }