Definition of skew-symmetric in English:



  • (of a matrix) having all the elements of the principal diagonal equal to zero, and each of the remaining elements equal to the negative of the element in the corresponding position on the other side of the diagonal.

    • ‘Skew-Hermitian matrices - the complex analogs of skew-symmetric matrices - have all imaginary eigenvalues.’
    • ‘We propose a flexible class of skew-symmetric distributions for which the probability density function has the form of a product of a symmetric density and a skewing function.’
    • ‘The analyst is reminded that any matrix can be reduced to the sum of a symmetric matrix and a skew-symmetric matrix.’
    • ‘The flexibility of skew-symmetric distributions is illustrated through several graphical examples.’