3 papers
math.NA2020
Compress-and-restart block Krylov subspace methods for Sylvester matrix equations
Daniel Kressner, Kathryn Lund, Stefano Massei +1
Block Krylov subspace methods (KSMs) comprise building blocks in many state-of-the-art solvers for large-scale matrix equations as they arise, e.g., from the discretization of part…
math.NA2020
Limited-memory polynomial methods for large-scale matrix functions
Stefan Güttel, Daniel Kressner, Kathryn Lund
Matrix functions are a central topic of linear algebra, and problems requiring their numerical approximation appear increasingly often in scientific computing. We review various li…
math.NA2018
The tensor t-function: a definition for functions of third-order tensors
Kathryn Lund
A definition for functions of multidimensional arrays is presented. The definition is valid for third-order tensors in the tensor t-product formalism, which regards third-order ten…