Search Results - "mixed-precision algorithm"

Mixed Precision Iterative Refinement for Least Squares With Linear Equality Constraints and Generalized Least Squares Problems by Gao, Bowen, Ma, Yuxin, Shao, Meiyue

“…ABSTRACT Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which is the solver…”
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A mixed precision LOBPCG algorithm by Kressner, Daniel, Ma, Yuxin, Shao, Meiyue

“…The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the…”
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An improved mixed-precision FEAST algorithm for solving symmetric eigenvalue problems by Xie, Yi, Li, Shengguo, Li, Tiejun, Shao, Meiyue, Ren, Ruixuan

“…Solving symmetric eigenvalue problems is vital in many areas of scientific computing. FEAST is a well-known package designed for large-scale eigenvalue…”
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Mixed- Precision Algorithm in Electromagnetic Finite Element Method by Zhi-ming, Li, Hao-xiang, Wu, Sheng, Zuo, Xi, Chen

“…Single-precision algorithms are known to offer superior computational efficiency compared to double-precision algorithms. However, achieving the same level of…”
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Accelerating Linpack Performance with Mixed Precision Algorithm on CPU+GPGPU Heterogeneous Cluster by Wang Lei, Zhang Yunquan, Zhang Xianyi, Liu Fangfang

“…In this paper, the mixed precision algorithm to solve the linear system of equations and the implementation of HPL package are introduced. We use this mixed…”
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High Performance Householder QR Factorization on Emerging GPU Architectures Using Tensor Cores by Leng, Yuhan, Zou, Gaoyuan, Wang, Hansheng, Wu, Panruo, Zhang, Shaoshuai

“…Since 2017, NVIDIA GPUs have been equipped with specialized units known as Tensor Cores, which demonstrate remarkable efficiency in processing matrix…”
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Implementation of mixed precision in solving systems of linear equations on the Cell processor by Kurzak, Jakub, Dongarra, Jack

“…This paper describes the design concepts behind implementations of mixed‐precision linear algebra routines targeted for the Cell processor. It describes in…”
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A mixed-precision quantum-classical algorithm for solving linear systems by Koska, Oceane, Baboulin, Marc, Gazda, Arnaud

“…We address the problem of solving a system of linear equations via the Quantum Singular Value Transformation (QSVT). One drawback of the QSVT algorithm is that…”
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Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eigenvectors of Symmetric and Hermitian Matrices1 by Tsai, Yaohung M., Luszczek, Piotr, Dongarra, Jack

“…The multi-precision methods commonly follow approximate-iterate scheme by first obtaining the approximate solution from a low-precision factorization and…”
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Mixed-Precision Tomographic Reconstructor Computations on Hardware Accelerators by Doucet, Nicolas, Ltaief, Hatem, Gratadour, Damien, Keyes, David

“…The computation of tomographic reconstructors (ToR) is at the core of a simulation framework to design the next generation of adaptive optics (AO) systems to…”
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Energy Footprint of Advanced Dense Numerical Linear Algebra Using Tile Algorithms on Multicore Architectures by Dongarra, J., Ltaief, Hatem, Luszczek, P., Weaver, V. M.

“…We propose to study the impact on the energy footprint of two advanced algorithmic strategies in the context of high performance dense linear algebra…”
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Metaprogramming Dense Linear Algebra Solvers Applications to Multi and Many-Core Architectures by Masliah, Ian, Baboulin, Marc, Falcou, Joel

“…The increasing complexity of new parallel architectures has widened the gap between adaptability and efficiency of the codes. As high performance numerical…”
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