65 citations · 130 across the 6 of their papers we have counts for
7 papers
Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI)
Peter Benner, Kathryn Lund, Jens Saak
The race for the most efficient, accurate, and universal algorithm in scientific computing drives innovation. At the same time, this healthy competition is only beneficial if the r…
The Fréchet derivative of the tensor t-function
Kathryn Lund, Marcel Schweitzer
The tensor t-function, a formalism that generalizes the well-known concept of matrix functions to third-order tensors, is introduced in [K. Lund, The tensor t-function: a definitio…
Adaptively restarted block Krylov subspace methods with low-synchronization skeletons
Kathryn Lund
With the recent realization of exascale performace by Oak Ridge National Laboratory's Frontier supercomputer, reducing communication in kernels like QR factorization has become eve…
An overview of block Gram-Schmidt methods and their stability properties
Erin Carson, Kathryn Lund, Miroslav Rozložník +1
Block Gram-Schmidt algorithms serve as essential kernels in many scientific computing applications, but for many commonly used variants, a rigorous treatment of their stability pro…
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…
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…
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…