Siobhán Correnty

activity

20212023

collaborators

4 papers

math.NA2023

Chebyshev HOPGD with sparse grid sampling for parameterized linear systems

Siobhán Correnty, Melina A. Freitag, Kirk M. Soodhalter

We consider approximating solutions to parameterized linear systems of the form $A (μ_{1}, μ_{2}) x (μ_{1}, μ_{2}) = b$ . Here the matrix $A (μ_{1}, μ_{2}) \in R^{n \times n}$ is nonsingular…

math.NA2022

Preconditioned Chebyshev BiCG for parameterized linear systems

Siobhán Correnty, Elias Jarlebring, Daniel B. Szyld

We consider the problem of approximating the solution to $A (μ) x (μ) = b$ for many different values of the parameter $μ$ . Here we assume $A (μ)$ is large, sparse, and nonsingular wit…

math.NA2022

Preconditioned infinite GMRES for parameterized linear systems

Siobhán Correnty, Elias Jarlebring, Kirk M. Soodhalter

We are interested in obtaining approximate solutions to parameterized linear systems of the form $A (μ) x (μ) = b$ for many values of the parameter $μ$ . Here $A (μ)$ is large, sparse,…

math.NA2021

Infinite GMRES for parameterized linear systems

Elias Jarlebring, Siobhán Correnty

We consider linear parameter-dependent systems $A (μ) x (μ) = b$ for many different $μ$ , where $A$ is large and sparse, and depends nonlinearly on $μ$ . Solving such systems individua…