The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
Given a Lebesgue integrable function f over -π,π, we consider the sequence of matrices
{Y_nT_nf\}_n, where T_nf is the n-by-n Toeplitz matrix generated by f and Y_n is the anti …
{Y_nT_nf\}_n, where T_nf is the n-by-n Toeplitz matrix generated by f and Y_n is the anti …
[HTML][HTML] A note on the spectral distribution of symmetrized Toeplitz sequences
The singular value and spectral distribution of Toeplitz matrix sequences with Lebesgue
integrable generating functions is well studied. Early results were provided in the classical …
integrable generating functions is well studied. Early results were provided in the classical …
Circulant preconditioners for analytic functions of Toeplitz matrices
S Hon, A Wathen - Numerical Algorithms, 2018 - Springer
Circulant preconditioning for symmetric Toeplitz systems has been well developed over the
past few decades. For a large class of such systems, descriptive bounds on convergence for …
past few decades. For a large class of such systems, descriptive bounds on convergence for …
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
Preconditioning for Toeplitz systems has been an active research area over the past few
decades. Along this line of research, circulant preconditioners have been recently proposed …
decades. Along this line of research, circulant preconditioners have been recently proposed …
[HTML][HTML] Circulant preconditioners for functions of Hermitian Toeplitz matrices
S Hon - Journal of Computational and Applied Mathematics, 2019 - Elsevier
Circulant preconditioners for function of matrices have been recently of interest. In particular,
several authors proposed the use of the optimal circulant preconditioners as well as the …
several authors proposed the use of the optimal circulant preconditioners as well as the …
Numerical Investigation of the Spectral Distribution of Toeplitz-Function Sequences
S Hon, A Wathen - Computational Methods for Inverse Problems in …, 2019 - Springer
Solving Toeplitz-related systems has been of interest for their ubiquitous applications,
particularly in image science and the numerical treatment of differential equations. Extensive …
particularly in image science and the numerical treatment of differential equations. Extensive …
Preconditioning for Toeplitz-related systems
S Hon - 2018 - ora.ox.ac.uk
This thesis concerns preconditioning for Toeplitz-related systems. Specifically, we consider
functions of Toeplitz matrices, ie h (T n) xn= bn, where h (z) is an analytic function and T n …
functions of Toeplitz matrices, ie h (T n) xn= bn, where h (z) is an analytic function and T n …