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Let be the set of vector with components either -1 or 1 and
the scalar matrices ,
,the set
of matrices
whose elements are
The set of matrices has elements. If all
matrices in the set have a determinant of the same sign, then all the
matrices A are regular [22].
Note than another simplification procedure may be built by using the
spectral radius (see section 7.6).
Jean-Pierre Merlet
2012-12-20