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ELSES

ELSES matrix library: Here is the collection of matrix data generated by ELSES (http://www.elses.jp), a quantum mechanical nanomaterial simulator. The matrices are sparse, real-symmetric and appear in generalized and standard eigen-value equations.

Keywords for this software

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  • generalized eigenvalue problem
  • complex symmetric matrices
  • large-scale electronic state calculation
  • symmetric eigenvalue decomposition
  • generalized real-symmetric eigenvalue problem, electronic state calculation
  • parallel processing
  • auto-tuning
  • partial eigenproblem
  • eigenvalue counts
  • linear system with multiple right-hand sides
  • modified Gram-Schmidt orthogonalization
  • Bayesian inference
  • Krylov subspace methods
  • error bounds
  • fundamental Schrödinger-type equations
  • electronic state calculation
  • stochastic estimation
  • accurate numerical algorithm
  • complex moment
  • verification method
  • organic flexible device
  • massively parallel supercomputer
  • iterative refinement
  • block Krylov subspace methods
  • supercomputer
  • contour integral
  • performance prediction
  • efficient implementations
  • non-standard inner product
  • verified numerical computations

  • URL: www.elses.jp/matrix/
  • InternetArchive
  • Authors: Takeo Hoshi

  • Add information on this software.


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References in zbMATH (referenced in 8 articles )

Showing results 1 to 8 of 8.
y Sorted by year (citations)

  1. Hoshi, Takeo; Ogita, Takeshi; Ozaki, Katsuhisa; Terao, Takeshi: An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations (2020)
  2. Imakura, Akira; Morikuni, Keiichi; Takayasu, Akitoshi: Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems (2020)
  3. Hoshi, Takeo; Imachi, Hiroto; Kuwata, Akiyoshi; Kakuda, Kohsuke; Fujita, Takatoshi; Matsui, Hiroyuki: Numerical aspect of large-scale electronic state calculation for flexible device material (2019)
  4. Imakura, Akira; Yamamoto, Yusaku: Efficient implementations of the modified Gram-Schmidt orthogonalization with a non-standard inner product (2019)
  5. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues (2019)
  6. Tanaka, Kazuyuki; Imachi, Hiroto; Fukumoto, Tomoya; Kuwata, Akiyoshi; Harada, Yuki; Fukaya, Takeshi; Yamamoto, Yusaku; Hoshi, Takeo: EigenKernel (2019)
  7. Futamura, Yasunori; Yano, Takahiro; Imakura, Akira; Sakurai, Tetsuya: A real-valued block conjugate gradient type method for solving complex symmetric linear systems with multiple right-hand sides. (2017)
  8. Maeda, Yasuyuki; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya: Filter analysis for the stochastic estimation of eigenvalue counts (2015)

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      • 15 Linear and multilinear...
      • 35 Partial differential...
      • 62 Statistics
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      • 74 Mechanics of deformable...
      • 93 Systems theory; control

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