Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations. - Tomás Gergelits; Zdenek Strakos (Numer. Algorithms, 2014)

Relating Computed and Exact Entities in Methods Based on Lanczos Tridiagonalization. - Tomás Gergelits; Iveta Hnetynková; Marie Kubínová (HPCSE, 2017)

Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. - Tomás Gergelits; Kent-André Mardal; Bjørn Fredrik Nielsen; Zdenek Strakos (SIAM J. Numer. Anal., 2019)

Generalized Spectrum of Second Order Differential Operators. - Tomás Gergelits; Bjørn Fredrik Nielsen; Zdenek Strakos (SIAM J. Numer. Anal., 2020)

Numerical approximation of the spectrum of self-adjoint continuously invertible operators. - Tomás Gergelits; Bjørn Fredrik Nielsen; Zdenek Strakos (CoRR, 2021)

Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms. - Erin C. Carson; Tomás Gergelits (CoRR, 2021)

Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning. - Tomás Gergelits; Bjørn Fredrik Nielsen; Zdenek Strakos (Numer. Algorithms, 2022)

Mixed precision s-step Lanczos and conjugate gradient algorithms. - Erin C. Carson; Tomás Gergelits; Ichitaro Yamazaki (Numer. Linear Algebra Appl., 2022)