132 citations · 175 across the 13 of their papers we have counts for
13 papers
Implementation of QR factorization of tall and very skinny matrices on current GPUs
Jonas Thies, Melven Röhrig-Zöllner
We consider the problem of computing a QR (or QZ) decomposition of a real, dense, tall and very skinny matrix. That is, the number of columns is tiny compared to the number of rows…
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…
(R)SE challenges in HPC
Jonas Thies, Melven Röhrig-Zöllner, Achim Basermann
We discuss some specific software engineering challenges in the field of high-performance computing, and argue that the slow adoption of SE tools and techniques is at least in part…
Tensor Product Scheme for Computing Bound States of the Quantum Mechanical Three-Body Problem
Jonas Thies, Moritz Travis Hof, Matthias Zimmermann +1
We develop a computationally and numerically efficient method to calculate binding energies and corresponding wave functions of quantum mechanical three-body problems in low dimens…
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 Recursive Algebraic Coloring Technique for Hardware-Efficient Symmetric Sparse Matrix-Vector Multiplication
Christie L. Alappat, Georg Hager, Olaf Schenk +5
The symmetric sparse matrix-vector multiplication (SymmSpMV) is an important building block for many numerical linear algebra kernel operations or graph traversal applications. Par…
Performance Engineering for Real and Complex Tall & Skinny Matrix Multiplication Kernels on GPUs
Dominik Ernst, Georg Hager, Jonas Thies +1
General matrix-matrix multiplications with double-precision real and complex entries (DGEMM and ZGEMM) in vendor-supplied BLAS libraries are best optimized for square matrices but…
Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects
Andreas Alvermann, Achim Basermann, Hans-Joachim Bungartz +30
We first briefly report on the status and recent achievements of the ELPA-AEO (Eigenvalue Solvers for Petaflop Applications - Algorithmic Extensions and Optimizations) and ESSEX II…
CRAFT: A library for easier application-level Checkpoint/Restart and Automatic Fault Tolerance
Faisal Shahzad, Jonas Thies, Moritz Kreutzer +3
In order to efficiently use the future generations of supercomputers, fault tolerance and power consumption are two of the prime challenges anticipated by the High Performance Comp…
GHOST: Building blocks for high performance sparse linear algebra on heterogeneous systems
Moritz Kreutzer, Jonas Thies, Melven Röhrig-Zöllner +7
While many of the architectural details of future exascale-class high performance computer systems are still a matter of intense research, there appears to be a general consensus t…
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…