JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (10): 40-45.doi: 10.6040/j.issn.1671-9352.0.2023.046
LIU Yuling
CLC Number:
[1] BENZI M, GOLUB G H, LIESEN J. Numerical solution of saddle point problems[J]. Acta Numer, 1999, 14(1):1-137. [2] XIANG H, WEI Y M, DIAO H A. Perturbation analysis of generalized saddle point systems[J]. Linear Algebra Appl, 2006, 419(1):8-23. [3] XU W W, LI W. New perturbation analysis for generalized saddle point systems[J]. Calcolo, 2009, 46(1):25-36. [4] XU W W, LIU M M, ZHU L, et al. New perturbation bounds analysis of a kind of generalized saddle point systems[J]. East Asian J Appl Math, 2017, 7(1):116-124. [5] SUN J G. Structured backward errors for KKT systems[J]. Linear Algebra Appl, 1999, 288(1):75-88. [6] YANG X D, DAI H, HE Q Q. Condition numbers and backward perturbation bound for linear matrix equations[J]. Numer Linear Algebra Appl, 2011, 18(1):155-165. [7] RIGAL J L, GACHES J. On the compatibility of a given solution with the data of a linear system[J]. J Assoc Comput Mach, 1967, 14(3):543-548. [8 ] WILKINSON J. The algebraic eigenvalue problem[M]. Oxford: Oxford University Press, 1965. [9] XIANG H, WEI Y M. On normwise structured backward errors for saddle point systems[J]. SIAM J Matrix Anal Appl, 2008, 29(3):838-849. [10] CHEN X S, LI W, CHEN X J, et al. Structured backward errors for generalized saddle point systems[J]. Linear Algebra Appl, 2012, 436(9):3109-3119. [11] EISENSTAT S C, GRATTON S, TITLEY-PELOQUIN D. On the symmetric componentwise relative backward error for linear systems of equations[J]. SIAM J Matrix Anal Appl, 2017, 38(4):1100-1115. [12] HIGHAM D J, HIGHAM N J. Backward error and condition of structured linear systems[J]. SIAM J Matrix Anal Appl, 1992, 13(1):162-175. [13] HIGHAM N J. Accuracy and stability of numerical algorithms[M/OL]. SIAM, 2002. https://doi.org/10.1137/1.9780898718027.fm. [14] RUMP S M. The componentwise structured and unstructured backward errors can be arbitrarily far apart[J]. SIAM J Matrix Anal Appl, 2015, 36(2):385-392. [15] STEWART G W, SUN J G. Matrix perturbation theory[M]. Boston: Academic Press, 1990. |
[1] | Adil ALI, Kaysar RAHMAN. Differential quadrature method for solving the generalized Burgers-Fisher equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(10): 30-39. |
|