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On the complete pivoting conjecture for Hadamard matrices of small orders

Journal Article


Abstract


  • In this paper we study explicitly the pivot structure of Hadamard matrices of small orders 16,20 and 32. An algorithm computing the (n-j) x (n-j) minors of Hadamard matrices is presented and its implementation for n = 12 is described. Analytical tables summarising the pivot patterns attained are given. Copyright© 2001, Australian Computer Society Inc.

Publication Date


  • 2001

Citation


  • Koukouvinos, C., Lappas, E., Mitrouli, M., & Seberry, J. (2001). On the complete pivoting conjecture for Hadamard matrices of small orders. Australian Computer Journal, 33(4), 298-309.

Scopus Eid


  • 2-s2.0-28844493239

Web Of Science Accession Number


Start Page


  • 298

End Page


  • 309

Volume


  • 33

Issue


  • 4

Abstract


  • In this paper we study explicitly the pivot structure of Hadamard matrices of small orders 16,20 and 32. An algorithm computing the (n-j) x (n-j) minors of Hadamard matrices is presented and its implementation for n = 12 is described. Analytical tables summarising the pivot patterns attained are given. Copyright© 2001, Australian Computer Society Inc.

Publication Date


  • 2001

Citation


  • Koukouvinos, C., Lappas, E., Mitrouli, M., & Seberry, J. (2001). On the complete pivoting conjecture for Hadamard matrices of small orders. Australian Computer Journal, 33(4), 298-309.

Scopus Eid


  • 2-s2.0-28844493239

Web Of Science Accession Number


Start Page


  • 298

End Page


  • 309

Volume


  • 33

Issue


  • 4