48
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On the pivot structure for the weighing matrix W(12,11)

, &
Pages 471-490 | Received 18 Jul 2005, Accepted 18 May 2006, Published online: 21 Sep 2007

Reference

  • Cryer , CW . 1968 . Pivot size in Gaussian elimination. . Numerische Mathematik , 12 : 12 – 345 .
  • Day , J and Peterson , B . 1988 . Growth in Gaussian Elimination. . The American Mathematical Monthly , 95 : 95 – 513 .
  • Georgiou , S , Harada , M and Koukouvinos , C . 2002 . Orthogonal designs and type II codes over Z2k . . Designs, Codes and Cryptography , 25 : 25 – 174 .
  • Geramita , AV and Seberry , J . 1979 . Orthogonal Designs: Quadratic Forms and Hadamard Matrices , New York Basel : Marcel Dekker .
  • Higham , NJ . 2002 . Accuracy and Stability of Numerical Algorithms , Philadelphia : SIAM .
  • Kharaghani , H . 2000 . On the twin designs with the Ionin-type parameters. . Electronic J. Comb. , 7 : R1
  • Kravvaritis , C , Mitrouli , M and Seberry , J . 2005 . On the growth problem for skew and symmetric conference matrices. . Linear Algebra Applications , 403 : 403 – 206 .
  • Kravvaritis , C , Lappas , E and Mitrouli , M . 2005 . An algorithm to find values of minors of weighing matrices. . Lecture Notes in Computer Science, Springer Verlag , 3401 : 3401 – 382 .
  • Koukouvinos , C . 1995 . Optimal weighing designs and some new weighing matrices. . Statistics and Probability Letters , 25 : 25 – 42 .
  • Koukouvinos , C , Mitrouli , M and Seberry , J . 2000 . Growth in Gaussian elimination for weighing matrices, W(n,n-1). . Linear Algebra Applications , 306 : 306 – 202 .
  • Trefethen , LN and Schreiber , RS . 1990 . Average-case stability of Gaussian elimination. . SIAM Journal on Matrix Analysis and Applications. , 11 : 335 – 360 .
  • Wilkinson , JH . 1961 . Error analysis of direct methods of matrix inversion. . J. Assoc. Comput. Mach. , 8 : 8 – 330 .
  • Wilkinson , JH . 1988 . The Algebraic Eigenvalue Problem , London : Oxford University Press .

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.