👉 Overbanded is a mathematical concept in linear algebra. It refers to a matrix that has its eigenvalues and eigenvectors spread out symmetrically around the unit circle, with more eigenvalues on one side of the spectrum than on the other side (over the diagonal). This property allows for efficient computation of matrices like the Cholesky factorization or QR factorization when working over a field where all elements are in the upper triangle. In linear algebra, overbanded matrices can be used to