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Lanczos polynomials matrix

The Jacobi matrix and the Lanczos polynomial matrix within... [Pg.145]

This is the orthogonality relation of the two Lanczos polynomials Q (m) and Qm(u) with the weight function, which is the residue dk [48]. We recall that the sequence Q = (Q ( z-) coincides with the set of eigenvectors of the Jacobi matrix (60). [Pg.188]

Matrix elements of the evolution operator in terms of the Lanczos polynomials... [Pg.189]

The recursion (84) can be extended to operators and matrices. This is done by using the Cayley-Hamilton theorem [2], which states that for a given analytic scalar function/(m), the expression for its operator counterpart/(U) is obtained via replacement of u by U as in Eq. (6). In this way, we can introduce the Lanczos operator and matrix polynomials defined by the following recursions ... [Pg.174]


See other pages where Lanczos polynomials matrix is mentioned: [Pg.198]    [Pg.199]    [Pg.73]    [Pg.301]    [Pg.308]    [Pg.329]    [Pg.165]    [Pg.176]    [Pg.192]   
See also in sourсe #XX -- [ Pg.173 ]




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