All Questions

It's well-known that the eigenvalues of the Clement-Kac-Sylvester tridiagonal matrix $$\begin{pmatrix} 0 & n-1 & 0 & \dots & 0 \\\ 1 & 0 & n-2 & \dots & 0\\\ 0 & ...

Is there an efficient way to diagonalize a block tridiagonal $N\times N$ matrix of the following form: \begin{matrix} A_0 & B & 0 & 0 & \ldots \\ B & A_1 & B & 0 & \...

I wonder if it is possible to find analytically all eigenvalues and eigenvectors of the following $2n \times 2n$ non-symmetric complex tridiagonal matrix $$M = i \begin{pmatrix} 0 & a & 0 &...

Is there a simple analytical solution to obtain eigenvalues (and eigenvectors) for this type of tridiagonal matrices ? ( Off diagonal elements are identical and the matrix is symmetric) $$ \begin{...