References

Aizenbud, Y., G. Shabat and A. Averbuch, 2016. Randomized LU decomposition using sparse projections. Comput. Math. Appl., 72: 2525-2534.
Direct Link  |  

Al-Towaiq, M. and H. Al-Aamri, 2002. A parallel implementation of GESPP on a cluster of Silicon Graphics workstations. Proceedings of the 9th International Conference on Parallel and Distributed Systems, December 17-20, 2002, IEEE, Taiwan, China, pp: 226-230.

Al-Towaiq, M., 2007. Clustered Gauss-Huard algorithm for the solution of Ax = b. Appl. Math. Comput., 184: 485-495.
Direct Link  |  

Al-Towaiq, M., F. Masoud, A.B. Mnaour and K. Day, 2008. An implementation of A parallel iterative algorithm for the solution of large banded systems on a cluster of workstations. Intl. J. Model. Simul., 28: 378-386.
Direct Link  |  

Al-Towaiq, M.H., 2013. Parallel implementation of the Gauss-Seidel algorithm on K-Ary n-Cube machine. Appl. Math., 4: 177-182.

Dekker, T.J., W. Hoffmann and K. Potma, 1997. Stability of the Gauss-Huard algorithm with partial pivoting. Comput., 58: 225-244.
CrossRef  |  Direct Link  |  

Duff, I.S. and H.A.V.D. Vorst, 1999. Developments and trends in the parallel solution of linear systems. Parallel Comput., 25: 1931-1970.
CrossRef  |  Direct Link  |  

Hoffmann, W., 1998. The Gauss-Huard algorithm and LU factorization. Linear Algebra Appl., 275: 281-286.
CrossRef  |  Direct Link  |  

Jia, J. and Y. Jiang, 2015. Two symbolic algorithms for solving general periodic pentadiagonal linear systems. Comput. Math. Appl., 69: 1020-1029.
CrossRef  |  Direct Link  |  

Kahou, G.A.A., L. Grigori and M. Sosonkina, 2008. A partitioning algorithm for block-diagonal matrices with overlap. Parallel Comput., 34: 332-344.
Direct Link  |  

Lastovetsky, A. and R. Reddy, 2007. Data distribution for dense factorization on computers with memory heterogeneity. Parallel Comput., 33: 757-779.
Direct Link  |  

Marrero, J.A., 2016. A numerical solver for general bordered tridiagonal matrix equations. Comput. Math. Appl., 72: 2731-2740.
CrossRef  |  Direct Link  |  

Peters, G. and J.H. Wilkinson, 1975. On the stability of Gauss-Jordan elimination with pivoting. Commun. ACM., 18: 20-24.
CrossRef  |  Direct Link  |  

Sidi, A., 2008. Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations. Comput. Math. Appl., 56: 1-24.
Direct Link  |  

Trefethen, L.N. and R.S. Schreiber, 1990. Average-case stability of Gaussian elimination. SIAM. J. Matrix Anal. Appl., 11: 335-360.
Direct Link  |  

Zhang, J. and H. Dai, 2016. Inexact splitting-based block preconditioners for block two-by-two linear systems. Appl. Math. Lett., 60: 89-95.
Direct Link  |  

Zhu, Y. and A.H. Sameh, 2007. PSPIKE+: A family of parallel hybrid sparse linear system solvers. J. Comput. Appl. Math., 311: 682-703.
Direct Link  |