264
Views
7
CrossRef citations to date
0
Altmetric
Articles

Subdirect sums of QN-matrices

, &
Pages 1605-1623 | Received 13 Mar 2018, Accepted 08 Nov 2018, Published online: 27 Nov 2018

References

  • Bru R, Pedroche F, Szyld DB. Subdirect sums of S-strictly diagonally dominant matrices. Electron J Linear Algebra. 2006;15:201–209. doi: 10.13001/1081-3810.1230
  • Fallat SM, Johnson CR. Subdirect sums and positivity classes of matrices. Linear Algebra Appl. 1999;288:149–173. doi: 10.1016/S0024-3795(98)10194-5
  • Bru R, Pedroche F, Szyld DB. Subdirect sums of nonsingular M-matrices and of their inverse. Electron J Linear Algebra. 2005;13:162–174. doi: 10.13001/1081-3810.1159
  • Bru R, Pedroche F, Szyld DB. Additive Schwarz iterations for Markov chains. SIAM J Matrix Anal Appl. 2005;27:445–458. doi: 10.1137/040616541
  • Frommer A, Szyld DB. Weighted max norms, splittings, and overlapping additive Schwarz iterations. Numer Math. 1999;83:259–278. doi: 10.1007/s002110050449
  • Smith BF, Bjorstad PE, Gropp WD. Domain decomposition: parallel multilevel methods for elliptic partial differential equations. Cambridge: Cambridge University Press; 1996.
  • Bru R, Cvetković L, Kostić V, et al. Sums of Σ-strictly diagonally dominant matrices. Linear Multilinear Algebra. 2010;58:75–78. doi: 10.1080/03081080802379725
  • Zhu Y, Huang TZ. Subdirect sum of doubly diagonally dominant matrices. Electron J Linear Algebra. 2007;16:171–182. doi: 10.13001/1081-3810.1192
  • Li CQ, Liu QL, Gao L, et al. Subdirect sums of Nekrasov matrices. Linear Multilinear Algebra. 2016;64:208–218. doi: 10.1080/03081087.2015.1032198
  • Li CQ, Ma RD, Liu QL, et al. Subdirect sums of weakly chained diagonally dominant matrices. Linear Multilinear Algebra. 2017;65:1220–1231. doi: 10.1080/03081087.2016.1233933
  • Bru R, Cvetković L, Kostić V, et al. Characterization of α1 and α2-matrices. Cent Eur J Math. 2010;8:32–40. doi: 10.2478/s11533-009-0068-6
  • Zhu Y, Huang TZ, Liu J. Subdirect sums of H-matrices. Int J Nonlinear Sci. 2009;8:50–58.
  • Araújo CM, Torregrosa JR. Some results on B-matrices and doubly B-matrices. Linear Algebra Appl. 2014;459:101–120. doi: 10.1016/j.laa.2014.06.048
  • Kolotilina LY. Bounds for the inverses of generalized Nekrasov matrices. J Math Sci. 2015;207:786–794. doi: 10.1007/s10958-015-2401-x
  • Berman A, Plemmons RJ. Nonnegative matrices in the mathematical sciences. New York: Academic Press; 1979.
  • Dai PF, Li JC, Li YT, et al. Error bounds for linear complementarity problems of QN-matrices. Calcolo. 2016;53:647–657. doi: 10.1007/s10092-015-0167-7
  • Cvetković L, Dai PF, Doroslovački K, et al. Infinity norm bounds for the inverse of Nekrasov matrices. Appl Math Compu. 2013;219:5020–5024.
  • Li W. On Nekrasov matrices. Linear Algebra Appl. 1998;281:87–96. doi: 10.1016/S0024-3795(98)10031-9

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.