Repository Usage Stats
© 2015 Society for Industrial and Applied Mathematics.The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructed efficiently if either fast algorithms for applying the matrix and its adjoint are available or the entries of the matrix can be sampled individually. For an N × N matrix, the resulting factorization is a product of O(logN) sparse matrices, each with O(N) nonzero entries. Hence, it can be applied rapidly in O(N logN) operations. Numerical results are provided to demonstrate the effectiveness of the butterfly factorization and its construction algorithms.
Published Version (Please cite this version)10.1137/15M1007173
Publication InfoHo, KL; Li, Y; Martin, ER; Yang, Haizhao; & Ying, L (2015). Butterfly factorization. Multiscale Modeling and Simulation, 13(2). pp. 714-732. 10.1137/15M1007173. Retrieved from http://hdl.handle.net/10161/11654.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
More InfoShow full item record