Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices

<p>This report may be considered as a non-trivial extension of an unpublished report by William Kahan (<em>Accurate Eigenvalues of a symmetric tri-diagonal matrix, Technical Report CS 41, Computer Science Department, Stanford University, 1966</em>). His interplay between matrix the...