22 citations · 78 across the 20 of their papers we have counts for
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Approximated structured pseudospectra
Silvia Noschese, Lothar Reichel
Pseudospectra and structured pseudospectra are important tools for the analysis of matrices. Their computation, however, can be very demanding for all but small matrices. A new app…
Circulant preconditioners for discrete ill-posed Toeplitz systems
L. Dykes, S. Noschese, L. Reichel
Circulant preconditioners are commonly used to accelerate the rate of convergence of iterative methods when solving linear systems of equations with a Toeplitz matrix. Block extens…
Regularization matrices determined by matrix nearness problems
Guangxin Huang, Silvia Noschese, Lothar Reichel
This paper is concerned with the solution of large-scale linear discrete ill-posed problems with error-contaminated data. Tikhonov regularization is a popular approach to determine…
Some matrix nearness problems suggested by Tikhonov regularization
Silvia Noschese, Lothar Reichel
The numerical solution of linear discrete ill-posed problems typically requires regularization, i.e., replacement of the available ill-conditioned problem by a nearby better condit…