Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev Filter Diagonalization on Modern Manycore Processors and
  GPGPUs   Chebyshev filter diagonalization is well established in quantum chemistry and
quantum physics to compute bulks of eigenvalues of large sparse matrices.
Choosing a block vector implementation, we investigate optimization
opportunities on the new class of high-performance compute devices featuring
both high-bandwidth and low-bandwidth memory. We focus on the transparent
access to the full address space supported by both architectures under
consideration: Intel Xeon Phi "Knights Landing" and Nvidia "Pascal."
  We propose two optimizations: (1) Subspace blocking is applied for improved
performance and data access efficiency. We also show that it allows
transparently handling problems much larger than the high-bandwidth memory
without significant performance penalties. (2) Pipelining of communication and
computation phases of successive subspaces is implemented to hide communication
costs without extra memory traffic.
  As an application scenario we use filter diagonalization studies on
topological insulator materials. Performance numbers on up to 512 nodes of the
OakForest-PACS and Piz Daint supercomputers are presented, achieving beyond 100
Tflop/s for computing 100 inner eigenvalues of sparse matrices of dimension one
billion.

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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex