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As multicore systems continue to gain ground in the High Performance Computing world, linear algebra algorithms have to be reformulated or new algorithms have to be developed in order to take advantage of the architectural features on these…

Numerical Analysis · Mathematics 2008-08-12 Alfredo Buttari , Julien Langou , Jakub Kurzak , Jack Dongarra

This paper describes a new QR factorization algorithm which is especially designed for massively parallel platforms combining parallel distributed multi-core nodes. These platforms make the present and the foreseeable future of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-27 Jack Dongarra , Mathieu Faverge , Thomas Herault , Julien Langou , and Yves Robert

Autotuning of performance-relevant source-code parameters allows to automatically tune applications without hard coding optimizations and thus helps with keeping the performance portable. In this paper, we introduce a benchmark set of ten…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-02 Filip Petrovič , David Střelák , Jana Hozzová , Jaroslav Oľha , Richard Trembecký , Siegfried Benkner , Jiří Filipovič

Although reliable long precision floating-point arithmetic libraries such as QD and MPFR/GMP are necessary to solve ill-conditioned problems in numerical simulation, long precision BLAS-level computation such as matrix multiplication has…

Mathematical Software · Computer Science 2017-10-06 Tomonori Kouya

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, rendering most computations completely or partially…

Mathematical Software · Computer Science 2026-03-24 Jonas Thies , Melven Röhrig-Zöllner

Any architecture for practical quantum computing must be scalable. An attractive approach is to create multiple cores, computing regions of fixed size that are well-spaced but interlinked with communication channels. This exploded…

Quantum Physics · Physics 2022-11-08 Hamza Jnane , Brennan Undseth , Zhenyu Cai , Simon C Benjamin , Bálint Koczor

Optimizing the performance of GPU kernels is challenging for both human programmers and code generators. For example, CUDA programmers must set thread and block parameters for a kernel, but might not have the intuition to make a good…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-30 Robert V. Lim , Boyana Norris , Allen D. Malony

The prohibitive expense of automatic performance tuning at scale has largely limited the use of autotuning to libraries for shared-memory and GPU architectures. We introduce a framework for approximate autotuning that achieves a desired…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-03 Edward Hutter , Edgar Solomonik

Previous studies have reported that common dense linear algebra operations do not achieve speed up by using multiple geographical sites of a computational grid. Because such operations are the building blocks of most scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Emmanuel Agullo , Camille Coti , Jack Dongarra , Thomas Herault , Julien Langou

In this paper we describe an autotuning tool for optimization of OpenMP applications on highly multicore and multithreaded architectures. Our work was motivated by in-depth performance analysis of scientific applications and synthetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-17 Jakub Katarzyński , Maciej Cytowski

Nowadays, GPU accelerators are commonly used to speed up general-purpose computing tasks on a variety of hardware. However, due to the diversity of GPU architectures and processed data, optimization of codes for a particular type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-20 Jiří Filipovič , Jana Hozzová , Amin Nezarat , Jaroslav Oľha , Filip Petrovič

We present efficient realization of Householder Transform (HT) based QR factorization through algorithm-architecture co-design where we achieve performance improvement of 3-90x in-terms of Gflops/watt over state-of-the-art multicore,…

Performance · Computer Science 2018-03-15 Farhad Merchant , Tarun Vatwani , Anupam Chattopadhyay , Soumyendu Raha , S K Nandy , Ranjani Narayan

In this paper, we study the parallelization of the dedispersion algorithm on many-core accelerators, including GPUs from AMD and NVIDIA, and the Intel Xeon Phi. An important contribution is the computational analysis of the algorithm, from…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-20 Alessio Sclocco , Henri E. Bal , Jason Hessels , Joeri van Leeuwen , Rob V. van Nieuwpoort

The current computer architecture has moved towards the multi/many-core structure. However, the algorithms in the current sequential dense numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multi/many-core…

Numerical Analysis · Computer Science 2013-03-14 Henricus Bouwmeester

We have developed several autotuning benchmarks in CUDA that take into account performance-relevant source-code parameters and reach near peak-performance on various GPU architectures. We have used them during the development and evaluation…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-11 Jiří Filipovič , Jana Hozzová , Amin Nezarat , Jaroslav Oľha , Filip Petrovič

We discuss an implementation of adaptive fast multipole methods targeting hybrid multicore CPU- and GPU-systems. From previous experiences with the computational profile of our version of the fast multipole algorithm, suitable parts are…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-03 Marcus Holm , Stefan Engblom , Anders Goude , Sverker Holmgren

Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

Autotuning is an established technique for optimizing the performance of parallel applications. However, programmers must prepare applications for autotuning, which is tedious and error prone coding work. We demonstrate how applications…

Software Engineering · Computer Science 2014-05-14 Thomas Karcher , Christopher Guckes , Walter F. Tichy

Quantization followed by parameter-efficient fine-tuning has emerged as a promising paradigm for downstream adaptation under tight GPU memory constraints. However, this sequential pipeline fails to leverage the intricate interaction between…

Machine Learning · Computer Science 2026-02-27 Changhai Zhou , Shiyang Zhang , Yuhua Zhou , Qian Qiao , Jun Gao , Cheng Jin , Kaizhou Qin , Weizhong Zhang

There are growing interests in adapting large-scale language models using parameter-efficient fine-tuning methods. However, accelerating the model itself and achieving better inference efficiency through model compression has not been…

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