3 papers
math.NA2022
The behaviour of the Gauss-Radau upper bound of the error norm in CG
Gérard Meurant, Petr Tichý
Consider the problem of solving systems of linear algebraic equations with a real symmetric positive definite matrix using the conjugate gradient (CG) method. To stop th…
math.NA2021
Accurate error estimation in CG
Gérard Meurant, Jan Papež, Petr Tichý
In practical computations, the (preconditioned) conjugate gradient (P)CG method is the iterative method of choice for solving systems of linear algebraic equations with a re…
math.NA2018
Approximating the extreme Ritz values and upper bounds for the -norm of the error in CG
Gérard Meurant, Petr Tichý
In practical conjugate gradient (CG) computations it is important to monitor the quality of the approximate solution to so that the CG algorithm can be stopped when the requ…