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    Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices by Fernando, K

    Published 2007
    “…These results are consistent across many architectures including Intel, AMD, SGI and DEC Alpha. However, by enabling IEEE double extended precision arithmetic in Intel/AMD 32-bit architectures at no extra computational cost, the (open) interval diameters were reduced to one ulp, which is the best possible solution for this problem. …”
    Journal article