Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Shift Selection Strategy for Parallel Shift-Invert Spectrum Slicing in
  Symmetric Self-Consistent Eigenvalue Computation   The central importance of large scale eigenvalue problems in scientific
computation necessitates the development of massively parallel algorithms for
their solution. Recent advances in dense numerical linear algebra have enabled
the routine treatment of eigenvalue problems with dimensions on the order of
hundreds of thousands on the world's largest supercomputers. In cases where
dense treatments are not feasible, Krylov subspace methods offer an attractive
alternative due to the fact that they do not require storage of the problem
matrices. However, demonstration of scalability of either of these classes of
eigenvalue algorithms on computing architectures capable of expressing massive
parallelism is non-trivial due to communication requirements and serial
bottlenecks, respectively. In this work, we introduce the SISLICE method: a
parallel shift-invert algorithm for the solution of the symmetric
self-consistent field (SCF) eigenvalue problem. The SISLICE method drastically
reduces the communication requirement of current parallel shift-invert
eigenvalue algorithms through various shift selection and migration techniques
based on density of states estimation and k-means clustering, respectively.
This work demonstrates the robustness and parallel performance of the SISLICE
method on a representative set of SCF eigenvalue problems and outlines research
directions which will be explored in future work.

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The categories of this paper are: solv-int
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat