On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)
For p ≡ 1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the (p+1)/2 × (p+1)/2 matrix with .
On the computation of the null space of Toeplitz-like matrices.
On the determinants of some kinds of circulant-type matrices with generalized number sequences
Recently, determinant computation of circulant type matrices with well-known number sequences has been studied, extensively. This study provides the determinants of the RFMLR, RLMFL, RFPrLrR and RLPrFrL circulant matrices with generalized number sequences of second order.
On the fast reduction of symmetric rationally generated Toeplitz matrices to tridiagonal form.
Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.