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05/03/2023
Estimating the error in CG-like algorithms for least-squares and least-norm problems
In [Meurant, Papež, Tichý; Numerical Algorithms 88, 2021], we presented ...
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09/29/2022
The behaviour of the Gauss-Radau upper bound of the error norm in CG
Consider the problem of solving systems of linear algebraic equations Ax...
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09/29/2022
On the Forsythe conjecture
Forsythe formulated a conjecture about the asymptotic behavior of the re...
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06/03/2021
When does the Lanczos algorithm compute exactly?
In theory, the Lanczos algorithm generates an orthogonal basis of the co...
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01/11/2021
Accurate error estimation in CG
In practical computations, the (preconditioned) conjugate gradient (P)CG...
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01/07/2020
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates
We deal with the numerical solution of linear partial differential equat...
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12/19/2019