Search Results - "VAN DEN ESHOF, Jasper"
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Rounding error analysis of the classical gram-schmidt orthogonalization process
Published in Numerische Mathematik (01-07-2005)Get full text
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On the use of harmonic Ritz pairs in approximating internal eigenpairs
Published in Linear algebra and its applications (2003)“…The goal of this paper is to increase our understanding of harmonic Rayleigh–Ritz for real symmetric matrices. We do this by discussing different, though…”
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Optimal a priori error bounds for the Rayleigh-Ritz method
Published in Mathematics of computation (01-04-2003)“…We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of…”
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Accurate conjugate gradient methods for families of shifted systems
Published in Applied numerical mathematics (01-04-2004)“…We consider the solution of the linear system A T A +σ I x σ= A T b , for various real values of σ. This family of shifted systems arises, for example, in…”
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Relaxation strategies for nested Krylov methods
Published in Journal of computational and applied mathematics (15-05-2005)“…This paper studies computational aspects of Krylov methods for solving linear systems where the matrix–vector products dominate the cost of the solution…”
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The convergence of Jacobi-Davidson iterations for Hermitian eigenproblems
Published in Numerical linear algebra with applications (01-03-2002)“…Rayleigh quotient iteration is an iterative method with some attractive convergence properties for finding (interior) eigenvalues of large sparse Hermitian…”
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Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
Published 05-05-2004“…Comput.Phys.Commun. 165 (2005) 221-242 The numerical and computational aspects of chiral fermions in lattice quantum chromodynamics are extremely demanding. In…”
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