S. Elhay, G.H. Golub, and J. Kautsky. Jacobi matrices for sums of weight functions. BIT, 32:143--166, 1992. Home/Search Document Not in Database Summary Related Articles |
This paper is cited in the following contexts:
The Theory of a Multi Degree of Freedom Dynamic Absorber - Ram, Elhay (1996) (1 citation) Self-citation (Elhay) (Correct)
....this result, known as the Fredholm Alternative, we now show that the steady state component of x (i) p (t) vanishes if det(D Gamma 2 i C) 0: The matrix D Gamma 2 i C is a (symmetric, tridiagonal, unreduced) Jacobi matrix of dimension q and rank q Gamma 1. It is well known (see eg [3]) that all the eigenvectors of a Jacobi matrix have non vanishing leading and trailing elements. Thus, putting together that neither nor e T 1 z = z 1 vanish, 11) implies that y (i) p = 0. From this and (10) it is clear that the secondary system vibrates with a mode z which is the ....
S. Elhay, G.H. Golub, and J. Kautsky. Jacobi matrices for sums of weight functions. BIT, 32:143--166, 1992.
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