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SIAMMAX
2010
117views more  SIAMMAX 2010»
14 years 8 months ago
On the Convergence of Rational Ritz Values
Ruhe's rational Krylov method is a popular tool for approximating eigenvalues of a given matrix, though its convergence behavior is far from being fully understood. Under fair...
Bernhard Beckermann, Stefan Güttel, Raf Vande...
SIAMMAX
2010
103views more  SIAMMAX 2010»
14 years 8 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
SIAMNUM
2010
123views more  SIAMNUM 2010»
14 years 8 months ago
Critical Analysis of the Spanning Tree Techniques
Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have been shown to be usef...
Pawel Dlotko, Ruben Specogna
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SIAMNUM
2010
134views more  SIAMNUM 2010»
14 years 8 months ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts
SIAMNUM
2010
178views more  SIAMNUM 2010»
14 years 8 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen