A Note on the Convergence of Ritz Values for Sequences of Matrices

Abstract

While discussing the convergence of the Lanczos method, Trefethen and Bau observed a relationship with electric charge distributions, and claimed that the Lanczos iteration tends to converge to eigenvalues in regions of \too little charge" for an equilibrium distribution. Recently, Kuijlaars found a theoretical justiication for this phenomenon by… (More)

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