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Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate
D Noutsos, SS Capizzano, P Vassalos
Theoretical Computer Science 315 (2-3), 557-579, 2004
552004
New band Toeplitz preconditioners for ill-conditioned symmetric positive definite Toeplitz systems
D Noutsos, P Vassalos
SIAM journal on matrix analysis and applications 23 (3), 728-743, 2002
322002
A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences
C Garoni, S Serra-Capizzano, P Vassalos
Oper. Matrices 9 (3), 549-561, 2015
232015
Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: a negative result
D Noutsos, SS Capizzano, P Vassalos
Contemporary Mathematics 323, 313-322, 2003
232003
Preconditioners for fractional diffusion equations based on the spectral symbol
N Barakitis, SE Ekström, P Vassalos
Numerical Linear Algebra with Applications 29 (5), e2441, 2022
162022
Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices
D Noutsos, S Serra-Capizzano, P Vassalos
Linear Algebra and its Applications 491, 276-291, 2016
142016
Superlinear convergence for PCG using band plus algebra preconditioners for Toeplitz systems
D Noutsos, P Vassalos
Computers & Mathematics with Applications 56 (5), 1255-1270, 2008
142008
A preconditioning proposal for ill‐conditioned Hermitian two‐level Toeplitz systems
D Noutsos, SS Capizzano, P Vassalos
Numerical linear algebra with applications 12 (2‐3), 231-239, 2005
132005
Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications
D Noutsos, SS Capizzano, P Vassalos
Numerische Mathematik 104 (3), 339-376, 2006
122006
Two-level Toeplitz preconditioning: approximation results for matrices and functions
D Noutsos, SS Capizzano, P Vassalos
SIAM Journal on Scientific Computing 28 (2), 439-458, 2006
122006
The conditioning of FD matrix sequences coming from semi-elliptic differential equations
D Noutsos, SS Capizzano, P Vassalos
Linear algebra and its applications 428 (2-3), 600-624, 2008
112008
A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues
SE Ekström, P Vassalos
Numerical Algorithms 89 (2), 701-720, 2022
82022
A policy iteration algorithm for the American put option and free boundary control problems
EF Magirou, P Vassalos, N Barakitis
Journal of Computational and Applied Mathematics 373, 112544, 2020
82020
Band plus algebra preconditioners for two-level Toeplitz systems
D Noutsos, P Vassalos
BIT Numerical Mathematics 51, 695-719, 2011
62011
A Matrix-Less Method to Approximate the spectrum and the spectral function of Toeplitz matrices with complex eigenvalues
SE Ekström, P Vassalos
arXiv preprint arXiv:1910.13810, 2019
52019
Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences
D Noutsos, SS Capizzano, P Vassalos
Linear algebra and its applications 395, 121-140, 2005
32005
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
G Barbarino, SE Ekström, C Garoni, D Meadon, S Serra-Capizzano, ...
arXiv preprint arXiv:2309.03662, 2023
22023
Asymptotic results on the condition number of FD matrices approximating semi-elliptic PDEs
P Vassalos
The Electronic Journal of Linear Algebra 34, 566-581, 2018
22018
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting
M Bogoya, S Serra-Capizzano, P Vassalos
Applied Mathematics and Computation 466, 128483, 2024
12024
Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices
P Vassalos
1
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