SMG2S (Sparse Matrix Generator with Given Spectrum) is able to generate large-scale non-Hermitian and non-Symmetric matrices in parallel with the spectral distribution functions or eigenvalues given by users, and the spectrum of generated matrix is the same as the one specified by the users.
SMG2S is able to generate large-scale non-Hermitian and non-Symmetric matrices in parallel with the spectral distribution functions or eigenvalues given by users, and the spectrum of generated matrix is the same as the one specified by the users. SMG2S can be used to benchmark the iterative solvers for both linear systems and eigenvalue problems on supercomputers using the generated very large test matrices with customized spectral properties.
As a matrix generator, SMG2S provides:
generating of both Non-Hermitian and Non-Symmetric sparse matrix
generated matrices are naturally sparse with non-trivial sparsity pattern
Given Spectrum: the spectrum of generated matrix is the same as the one specified by the users
Sparsity patterns are diverse and controllable
As a software, SMG2S provides:
If you find SMG2S useful in your project, we kindly request that you cite the following paper:
Wu, Xinzhe, Serge G. Petiton, and Yutong Lu. "A Parallel Generator of Non-Hermitian Matrices computed from Given Spectra." Concurrency and Computation: Practice and Experience, 32(20), e5710, 2020. [DOI] [PDF].