132 citations · 175 across the 13 of their papers we have counts for
5 papers · 1 filter
Performance of linear solvers in tensor-train format on current multicore architectures
Melven Röhrig-Zöllner, Manuel Joey Becklas, Jonas Thies +1
Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from q…
Algebraic Temporal Blocking for Sparse Iterative Solvers on Multi-Core CPUs
Christie Alappat, Jonas Thies, Georg Hager +2
Sparse linear iterative solvers are essential for many large-scale simulations. Much of the runtime of these solvers is often spent in the implicit evaluation of matrix polynomials…
Performance of the low-rank tensor-train SVD (TT-SVD) for large dense tensors on modern multi-core CPUs
Melven Röhrig-Zöllner, Jonas Thies, Achim Basermann
There are several factorizations of multi-dimensional tensors into lower-dimensional components, known as `tensor networks'. We consider the popular `tensor-train' (TT) format and…
A staggered-grid multilevel incomplete LU for steady incompressible flows
Sven Baars, Mark van der Klok, Jonas Thies +1
Algorithms for studying transitions and instabilities in incompressible flows typically require the solution of linear systems with the full Jacobian matrix. Other popular approach…
A robust two-level incomplete factorization for (Navier-)Stokes saddle point matrices
Fred Wubs, Jonas Thies
We present a new hybrid direct/iterative approach to the solution of a special class of saddle point matrices arising from the discretization of the steady incompressible Navier-St…