A new optimized iterative method for solving -matrix linear systems
Alireza Fakharzadeh Jahromi; Nafiseh Nasseri Shams
Applications of Mathematics (2022)
- Volume: 67, Issue: 3, page 251-272
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topReferences
top- Avdelas, G., Hadjidimos, A., Yeyios, A., Some theoretical and computational results concerning the accelerated overrelaxation (AOR) method, Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 9 (1980), 5-10. (1980) Zbl0445.65018MR0617249
- Bai, Z., Chi, X., Asymptotically optimal successive overrelaxation methods for systems of linear equations, J. Comput. Math. 21 (2003), 503-612. (2003) Zbl1031.65050MR1999971
- Bai, Z.-Z., Golub, G. H., Ng, M. K., 10.1137/S0895479801395458, SIAM J. Matrix Anal. Appl. 24 (2003), 603-626. (2003) Zbl1036.65032MR1972670DOI10.1137/S0895479801395458
- Bai, Z.-Z., Golub, G. H., Ng, M. K., 10.1002/nla.517, Numer. Linear Algebra Appl. 14 (2007), 319-335. (2007) Zbl1199.65097MR2310394DOI10.1002/nla.517
- Bai, Z.-Z., Golub, G. H., Pan, J., 10.1007/s00211-004-0521-1, Numer. Math. 98 (2004), 1-32. (2004) Zbl1056.65025MR2076052DOI10.1007/s00211-004-0521-1
- Beik, F. P. A., Shams, N. N., 10.1080/00207160.2013.810215, Int. J. Comput. Math. 91 (2014), 944-963. (2014) Zbl1304.65134MR3230032DOI10.1080/00207160.2013.810215
- Benzi, M., 10.1137/080723181, SIAM. J. Matrix Anal. Appl. 31 (2009), 360-374. (2009) Zbl1191.65025MR2530254DOI10.1137/080723181
- Benzi, M., Golub, G. H., 10.1137/S0895479802417106, SIAM J. Matrix Anal. Appl. 26 (2004), 20-41. (2004) Zbl1082.65034MR2112850DOI10.1137/S0895479802417106
- Berman, A., Plemmons, R. J., 10.1016/c2013-0-10361-3, Computer Science and Applied Mathematics. Academic Press, New York (1979). (1979) Zbl0484.15016MR0544666DOI10.1016/c2013-0-10361-3
- Demmel, J. W., 10.1137/1.9781611971446, SIAM, Philadelphia (1997). (1997) Zbl0879.65017MR1463942DOI10.1137/1.9781611971446
- Golub, G. H., Vanderstraeten, D., 10.1023/A:1016637813615, Numer. Algorithms 25 (2000), 223-239. (2000) Zbl0983.65041MR1827156DOI10.1023/A:1016637813615
- Guo, P., Wu, S.-L., Li, C.-X., 10.1016/j.aml.2019.03.033, Appl. Math. Lett. 97 (2019), 107-113. (2019) Zbl1437.65044MR3957497DOI10.1016/j.aml.2019.03.033
- Hadjidimos, A., 10.1090/S0025-5718-1978-0483340-6, Math. Comput. 32 (1978), 149-157. (1978) Zbl0382.65015MR0483340DOI10.1090/S0025-5718-1978-0483340-6
- Ke, Y., 10.1016/j.aml.2019.07.021, Appl. Math. Lett. 99 (2020), Article ID 105990, 7 pages. (2020) Zbl07112056MR3989672DOI10.1016/j.aml.2019.07.021
- Li, L., Huang, T.-Z., Liu, X.-P., 10.1002/nla.528, Numer. Linear Algebra Appl. 14 (2007), 217-235. (2007) Zbl1199.65109MR2301913DOI10.1002/nla.528
- Meng, G.-Y., 10.1016/j.amc.2014.06.034, Appl. Math. Comput. 242 (2014), 707-715. (2014) Zbl1336.65044MR3239699DOI10.1016/j.amc.2014.06.034
- Ren, L., Ren, F., Wen, R., 10.1186/s13660-016-1196-8, J. Inequal. Appl. 2016 (2016), Article ID 279, 14 pages. (2016) Zbl1353.65025MR3571336DOI10.1186/s13660-016-1196-8
- Saad, Y., 10.1137/1.9780898718003, SIAM, Philadelphia (2003). (2003) Zbl1031.65046MR1990645DOI10.1137/1.9780898718003
- Salkuyeh, D. K., 10.1007/s11590-014-0727-9, Optim. Lett. 8 (2014), 2191-2202. (2014) Zbl1335.90102MR3279597DOI10.1007/s11590-014-0727-9
- Varga, R. S., 10.1007/978-3-642-05156-2, Prentice-Hall Series in Automatic Computation. Prentice-Hall, Englewood Cliffs (1962). (1962) Zbl0133.08602MR0158502DOI10.1007/978-3-642-05156-2
- Woźnicki, Z. I., 10.13001/1081-3810.1060, Electron. J. Linear Algebra 8 (2001), 53-59. (2001) Zbl0981.65041MR1836055DOI10.13001/1081-3810.1060
- Wu, S.-L., Liu, Y.-J., 10.1155/2014/725360, J. Appl. Math. 2014 (2014), Article ID 725360, 6 pages. (2014) Zbl1442.65050MR3256322DOI10.1155/2014/725360