Τίτλος:
On the computation of maximum minors of Hadamard matrices
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
In this paper, we use an algebraic method to compute the j×j, j=1,2,..., n minors of Hadamard matrices of order n. Specifically, we investigate the appearance of maximum values of minors. The presented algorithm is tested for several values of j and for Hadamard matrices of order 20. This algorithm is useful in the study of the growth factor for Hadamard matrices, which is a very interesting unsolved problem in the area of Numerical Analysis. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
Συγγραφείς:
Koukouvinos, C.
Lappas, E.
Mitrouli, M.
Περιοδικό:
Mathematics and Computers in Simulation
Λέξεις-κλειδιά:
Algorithms; Computational methods; Parameter estimation; Problem solving; Vectors, Computer algebra; Hadamard matrices; Maximum determinants; Minors, Matrix algebra
DOI:
10.1016/j.matcom.2004.05.006
