The following article covers all three versions: serial, shared-memory, and distributed-memory, with a little more emphasis on users aspects:
@article{li05, AUTHOR = {Xiaoye S. Li}, TITLE = {An Overview of {SuperLU}: Algorithms, Implementation, and User Interface}, journal = toms, volume = {31}, number = {3}, month = {September}, year = {2005}, pages = {302-325}, }The Users Guide:
@techreport{superlu_ug99, AUTHOR = {X.S. Li and J.W. Demmel and J.R. Gilbert and iL. Grigori and M. Shao and I. Yamazaki}, INSTITUTION = {Lawrence Berkeley National Laboratory}, NUMBER = {LBNL-44289}, TITLE = {{SuperLU Users' Guide}}, MONTH = {September}, YEAR = {1999}, NOTE = "\url{https://portal.nersc.gov/project/sparse/superlu/ug.pdf} Last update: June 2018" }
@article{superlu99, author = {James W. Demmel and Stanley C. Eisenstat and John R. Gilbert and Xiaoye S. Li and Joseph W. H. Liu}, title = {A supernodal approach to sparse partial pivoting}, journal = {SIAM J. Matrix Analysis and Applications}, year = {1999}, volume = {20}, number = {3}, pages = {720-755} }
@article{lishao10, AUTHOR = {Xiaoye S. Li and Meiyue Shao}, TITLE = {A Supernodal approach to incomplete {LU} factorization with partial pivoting}, JOURNAL = "ACM Trans.\ Mathematical Software", YEAR = 2010, VOLUME = {37}, NUMBER = {4}, }
@article{superlu_smp99, author = {James W. Demmel and John R. Gilbert and Xiaoye S. Li}, title = {An Asynchronous Parallel Supernodal Algorithm for Sparse Gaussian Elimination}, journal = {SIAM J. Matrix Analysis and Applications}, volume = {20}, number = {4}, pages = {915-952}, year = {1999} }
@article{lidemmel03, author = {Xiaoye S. Li and James W. Demmel}, title = {{SuperLU_DIST}: A Scalable Distributed-Memory Sparse Direct Solver for Unsymmetric Linear Systems}, journal = {ACM Trans. Mathematical Software}, month = {June}, volume = {29}, number = {2}, pages = {110-140}, year = 2003 }
@article{grigoridemmelli07, Author = {Laura Grigori and James W. Demmel and Xiaoye S. Li}, Title = {Parallel Symbolic Factorization for Sparse {LU} with Static Pivoting}, journal = {SIAM J. Scientific Computing}, volume = 29, number = 3, pages = {1289-1314}, year = 2007 }
@article{hwpm, author = {A. Azad and A. Buluc and X.S. Li and X. Wang and J. Langguth}, title = {{A Distributed-Memory Algorithm for Computing a Heavy-Weight Perfect Matching on Bipartite Graphs}}, journal = sisc, volume = {42}, number = {4}, pages = {C143-C168}, year = 2020 }