Chebyshev recursion relations

B. Iterative Calculation of (E - H) 1 Using Modified Chebyshev Recursion Relations... 

Here, both the expansion coefficients and the phase (j) are energy-dependent, and Ai7 is the so-called spectral range of the Hamiltonian, A/f = (iJmax iJmin) /2, where Tfmin and i7max are the minimum and maximum eigenvalues of the Hamiltonian in a finite basis representation. The Chebyshev vectors = Tj H)xo can be iteratively generated from the recursion relation, designed by Mandelshtam and Taylor [221],... 

These states obey the same recursion relation as the Chebyshev polynomials ... 

We note here in passing that Chebyshev propagation is related to several other recursive methods based on the Krylov subspace = span i//(, Hy/(, ...,H Wq) ... 

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