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An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex plane.
On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I
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F. Tisseur · 2000
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Stability of traveling wave solutions to the Whitham equation
N. Sanford, K. Kodama, J. D. Carter, and H. Kalisch · 2014
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FEAST as a subspace iteration eigensolver accelerated by approximate spectral projection
P. T. P. Tang and E. Polizzi · 2014
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Cubically convergent iterations for invariant subspace computation
P-A. Absil, R. Sepulchre, P. Van Dooren, and R. Mahony · 2004
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Higher order asymptotics of the eigenvalues of Sturm–Liouville problems with a turning point of arbitrary order
A. J. Akbarfam and A. Mingarelli · 2004
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Spectra and pseudospectra: the behavior of nonnormal matrices and operators
L. N. Trefethen and M. Embree · 2005
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Theory and computation of resonances in 1D scattering
D. Bindel and M. Zworski · 2006
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Linear operators and their spectra
E. B. Davies · 2007
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Fourierization of the Legendre–Galerkin method and a new space–time spectral method
J. Shen and L.-L. Wang · 2007
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The automatic solution of partial differential equations using a global spectral method
A. Townsend and S. Olver · 2015
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Continuous analogues of matrix factorizations
A. Townsend and L. N. Trefethen · 2015
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FEAST eigensolver for non-Hermitian problems
J. Kestyn, E. Polizzi, and P. T. P. Tang · 2016
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Efficient estimation of eigenvalue counts in an interval
E. D. Napoli, E. Polizzi, and Y. Saad · 2016
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Analysis of subspace iteration for eigenvalue problems with evolving matrices
Y. Saad · 2016
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Filtered subspace iteration for self-adjoint operators
J. Gopalakrishnan, L. Grubišić, and J. Ovall · 2017
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Rayleigh quotient iteration for an operator
N. Hale and Y. Nakatsukasa · 2017
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A comparison of eigenvalue condition numbers for matrix polynomials
L. M. Anguas, M. I. Bueno, and F. M. Dopico · 2019
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A comparison of eigenvalue condition numbers for matrix polynomials
L. M. Anguas, M. I. Bueno, and F. M. Dopico · 2019
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On the infinite-dimensional QR algorithm
M. J. Colbrook and A. C. Hansen · 2019
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S. Filip, A. Javeed, and L. N. Trefethen · 2019
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Continuous analogues of Krylov subspace methods for differential operators
M. A. Gilles and A. Townsend · 2019
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Spectral discretization errors in filtered subspace iteration
J. Gopalakrishnan, L. Grubišić, and J. Ovall · 2020
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