3 citations · 4 across the 2 of their papers we have counts for
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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…
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…