Title
Leading Edge Hybrid Multi-GPU Algorithms for Generalized Eigenproblems in Electronic Structure Calculations.
Abstract
Today's high computational demands from engineering fields and complex hardware development make it necessary to develop and optimize new algorithms toward achieving high performance and good scalability on the next generation of computers. The enormous gap between the high-performance capabilities of GPUs and the slow interconnect between them has made the development of numerical software that is scalable across multiple GPUs extremely challenging. We describe and analyze a successful methodology to address the challenges-starting from our algorithm design, kernel optimization and tuning, to our programming model-in the development of a scalable high-performance generalized eigenvalue solver in the context of electronic structure calculations in materials science applications. We developed a set of leading edge dense linear algebra algorithms, as part of a generalized eigensolver, featuring fine grained memory aware kernels, a task based approach and hybrid execution/ scheduling. The goal of the new design is to increase the computational intensity of the major compute kernels and to reduce synchronization and data transfers between GPUs. We report the performance impact on the generalized eigensolver when different fractions of eigenvectors are needed. The algorithm described provides an enormous performance boost compared to current GPU-based solutions, and performance comparable to state-of-the-art distributed solutions, using a single node with multiple GPUs.
Year
DOI
Venue
2013
10.1007/978-3-642-38750-0_6
Lecture Notes in Computer Science
Field
DocType
Volume
Linear algebra,Synchronization,Algorithm design,Scheduling (computing),Computer science,Parallel computing,Algorithm,Solver,Numerical analysis,Eigenvalues and eigenvectors,Scalability
Conference
7905
ISSN
Citations 
PageRank 
0302-9743
6
0.50
References 
Authors
17
6
Name
Order
Citations
PageRank
Azzam Haidar140935.39
Raffaele Solcà2353.74
Mark Gates310512.32
Stanimire Tomov41214102.02
Thomas C. Schulthess510615.16
Jack J. Dongarra6176252615.79