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NA
2008
75views more  NA 2008»
13 years 4 months ago
Fourier series and the Lubkin W-transform
We discuss the effect of a particular sequence acceleration method, the Lubkin W-transform, on the partial sums of Fourier series. We consider a very general class of functions wit...
A. Jason Boggess, B. Eric Bunch, C. Charles N. Moo...
NA
2008
72views more  NA 2008»
13 years 4 months ago
The numerical evaluation of a challenging integral
Standard numerical analysis tools, combined with elementary calculus, are deployed to evaluate a densely and wildly oscillatory integral proposed as a computational problem in the...
Walter Gautschi
NA
2008
80views more  NA 2008»
13 years 4 months ago
Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations
In this paper we address the problem of efficiently computing all the eigenvalues of a large N
Yuli Eidelman, Luca Gemignani, Israel Gohberg
NA
2008
203views more  NA 2008»
13 years 4 months ago
Block Krylov-Schur method for large symmetric eigenvalue problems
Stewart's Krylov-Schur algorithm offers two advantages over Sorensen's implicitly restarted Arnoldi (IRA) algorithm. The first is ease of deflation of converged Ritz vect...
Yunkai Zhou, Yousef Saad
NA
2008
78views more  NA 2008»
13 years 4 months ago
Luigi Gatteschi's work on asymptotics of special functions and their zeros
A good portion of Gatteschi's research publications--about 65%--is devoted to asymptotics of special functions and their zeros. Most prominently among the special functions st...
Walter Gautschi, Carla Giordano