4 papers
Stable and Efficient Computation of Generalized Polar Decompositions
Peter Benner, Yuji Nakatsukasa, Carolin Penke
We present methods for computing the generalized polar decomposition of a matrix based on the dynamically weighted Halley (DWH) iteration. This method is well established for compu…
Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems
Peter Benner, Carolin Penke
Optical properties of materials related to light absorption and scattering are explained by the excitation of electrons. The Bethe-Salpeter equation is the state-of-the-art approac…
GR decompositions and their relations to Cholesky-like factorizations
Peter Benner, Carolin Penke
For a given matrix, we are interested in computing GR decompositions , where is an isometry with respect to given scalar products. The orthogonal QR decomposition is the…
High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem
Carolin Penke, Andreas Marek, Christian Vorwerk +2
We present a high-performance solver for dense skew-symmetric matrix eigenvalue problems. Our work is motivated by applications in computational quantum physics, where one solution…