126
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

An optimal bound for inverses of triangular matrices with monotone entries

, &
Pages 475-481 | Received 09 Jun 2008, Accepted 13 Aug 2009, Published online: 28 Feb 2011

References

  • Berenhaut , KS and Fletcher , PT . 2005 . On inverses of triangular matrices with monotone entries . J. Inequal. Pure Appl. Math. , 6 Article 63
  • Berenhaut , KS , Guy , RT and Vish , NG . 2008 . A 1-norm bound for inverses of triangular matrices with monotone entries . Banach J. Math. Anal. , 2 : 112 – 121 .
  • Berenhaut , KS , Morton , DC and Fletcher , PT . 2005 . Bounds for inverses of triangular Toeplitz matrices . SIAM J. Matrix Anal. Appl. , 27 : 212 – 217 .
  • Brunner , H , Crisci , MR , Russo , VBE and Vecchio , A . 1991 . A family of methods for Abel integral equations of the second kind . J. Comput. Appl. Math. , 34 : 211 – 219 .
  • Brunner , H and van der Houwen , PJ . 1986 . The Numerical Solution of Volterra Equations, CWI Monographs , Vol. 3 , Amsterdam : North-Holland .
  • Linz , P . 1985 . Analytical and Numerical Methods for Volterra Equations , Philadelphia : SIAM .
  • Meneguette , M . 1987 . A note on bordered isoclinal matrices . J. Comput. Appl. Math. , 17 : 375 – 377 .
  • Suzuki , M . 1969 . Characterization of linear groups . Bull. Am. Math. Soc. , 75 : 1043 – 1091 .
  • Vecchio , A . 1998 . Stability results on some direct quadrature methods for Volterra integro-diferential equations . Dyn. Syst. Appl. , 7 : 501 – 518 .
  • Vecchio , A . 2003 . A bound for the inverse of a lower triangular Toeplitz matrix . SIAM J. Matrix Anal. Appl. , 24 : 1167 – 1174 .
  • Vecchio , A and Mallik , RK . 2007 . Bounds on the inverses of nonnegative lower triangular Toeplitz matrices with monotonicity properties . Linear Multilinear Alg. , 55 : 365 – 379 .

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.