The method of moments and the Lanczos representation
JOHN R. FLETCHER · Journal of Physics A Mathematical and General · 1991
Given the moments of the Hamiltonian of a system, the problem is to find a prescription for the matrix elements in the tridiagonal Lanczos representation in a form suitable for numerical calculation. In this letter a sequence of reductions of the moments is described, whereby the redundant information contained in the higher moments is progressively removed, leading to a numerically stable algorithm for the Lanczos matrix elements.