4.6 Article

The behavior of the Gauss-Radau upper bound of the error norm in CG

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Accurate error estimation in CG

Gerard Meurant et al.

Summary: The article discusses the use of the (preconditioned) conjugate gradient (P)CG method for solving systems of linear algebraic equations, emphasizing the importance of monitoring the quality of the approximate solution. It introduces estimation techniques based on Gauss quadrature approximation for evaluating the quality of the error vector, providing a tight estimate of the required number of iterations.

NUMERICAL ALGORITHMS (2021)

Article Mathematics, Applied

On prescribing the convergence behavior of the conjugate gradient algorithm

Gerard Meurant

NUMERICAL ALGORITHMS (2020)

Article Mathematics, Applied

Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG

Gerard Meurant et al.

NUMERICAL ALGORITHMS (2019)

Article Mathematics, Applied

On computing quadrature-based bounds for the A-norm of the error in conjugate gradients

Gerard Meurant et al.

NUMERICAL ALGORITHMS (2013)

Article Mathematics, Applied

On sensitivity of Gauss-Christoffel quadrature

Dianne P. O'Leary et al.

NUMERISCHE MATHEMATIK (2007)

Article Computer Science, Software Engineering

Error estimation in preconditioned conjugate gradients

Z Strakos et al.

BIT NUMERICAL MATHEMATICS (2005)