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Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

EPASA 2015, Tsukuba, Japan, September 2015

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Tetsuya Sakurai

    1. Department of Computer Science, University of Tsukuba, Tsukuba, Japan

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  2. Shao-Liang Zhang

    1. Department of Electrical Engineering and Computer Science, Nagoya University, Nagoya, Japan

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  3. Toshiyuki Imamura

    1. RIKEN Advanced Institute for Computational Science, Kobe, Japan

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  4. Yusaku Yamamoto

    1. Department of Communication Engineering and Informatics, University of Electro-Communications, Graduate School of Informatics and Engineering, Tokyo, Japan

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  5. Yoshinobu Kuramashi

    1. Department of Particle Physics, University of Tsukuba, Tsukuba, Japan

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  6. Takeo Hoshi

    1. Department of Applied Mathematics and Physics, Tottori University, Tottori, Japan

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  • Provides state-of-the-art and cross-cutting (applied math, HPC, application etc.) researches on eigenvalue problems
  • Includes the results on novel numerical libraries for solving eigenvalue problems
  • Includes the results by using large-scale parallel computers such as the K computer in Japan

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 117)

Included in the following conference series:

Conference proceedings info: EPASA 2015.

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Table of contents (18 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. An Error Resilience Strategy of a Complex Moment-Based Eigensolver

    • Akira Imakura, Yasunori Futamura, Tetsuya Sakurai
    Pages 1-18

  3. Numerical Integral Eigensolver for a Ring Region on the Complex Plane

    • Yasuyuki Maeda, Tetsuya Sakurai, James Charles, Michael Povolotskyi, Gerhard Klimeck, Jose E. Roman
    Pages 19-30

  4. A Parallel Bisection and Inverse Iteration Solver for a Subset of Eigenpairs of Symmetric Band Matrices

    • Hiroyuki Ishigami, Hidehiko Hasegawa, Kinji Kimura, Yoshimasa Nakamura
    Pages 31-50

  5. The Flexible ILU Preconditioning for Solving Large Nonsymmetric Linear Systems of Equations

    • Takatoshi Nakamura, Takashi Nodera
    Pages 51-61

  6. Improved Coefficients for Polynomial Filtering in ESSEX

    • Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, Andreas Pieper et al.
    Pages 63-79

  7. Eigenspectrum Calculation of the O(a)-Improved Wilson-Dirac Operator in Lattice QCD Using the Sakurai-Sugiura Method

    • Hiroya Suno, Yoshifumi Nakamura, Ken-Ichi Ishikawa, Yoshinobu Kuramashi, Yasunori Futamura, Akira Imakura et al.
    Pages 81-90

  8. Properties of Definite Bethe–Salpeter Eigenvalue Problems

    • Meiyue Shao, Chao Yang
    Pages 91-105

  9. Preconditioned Iterative Methods for Eigenvalue Counts

    • Eugene Vecharynski, Chao Yang
    Pages 107-123

  10. Comparison of Tridiagonalization Methods Using High-Precision Arithmetic with MuPAT

    • Ryoya Ino, Kohei Asami, Emiko Ishiwata, Hidehiko Hasegawa
    Pages 125-141

  11. Computation of Eigenvectors for a Specially Structured Banded Matrix

    • Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata
    Pages 143-155

  12. Monotonic Convergence to Eigenvalues of Totally Nonnegative Matrices in an Integrable Variant of the Discrete Lotka-Volterra System

    • Akihiko Tobita, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
    Pages 157-169

  13. Accuracy Improvement of the Shifted Block BiCGGR Method for Linear Systems with Multiple Shifts and Multiple Right-Hand Sides

    • Hiroto Tadano, Shusaku Saito, Akira Imakura
    Pages 171-185

  14. Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver Using the Shifted Block Conjugate Gradient Method

    • Yasunori Futamura, Tetsuya Sakurai
    Pages 187-203

  15. Filter Diagonalization Method by Using a Polynomial of a Resolvent as the Filter for a Real Symmetric-Definite Generalized Eigenproblem

    • Hiroshi Murakami
    Pages 205-232

  16. Off-Diagonal Perturbation, First-Order Approximation and Quadratic Residual Bounds for Matrix Eigenvalue Problems

    • Yuji Nakatsukasa
    Pages 233-249

  17. An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration

    • Yusaku Yamamoto
    Pages 251-265

  18. Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation

    • Rio Yokota, Huda Ibeid, David Keyes
    Pages 267-286

  19. Recent Progress in Linear Response Eigenvalue Problems

    • Zhaojun Bai, Ren-Cang Li
    Pages 287-304

  20. Back Matter

    Pages 305-313
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Other volumes

  1. Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

Keywords

About this book

This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.

Editors and Affiliations

  • Department of Computer Science, University of Tsukuba, Tsukuba, Japan

    Tetsuya Sakurai

  • Department of Electrical Engineering and Computer Science, Nagoya University, Nagoya, Japan

    Shao-Liang Zhang

  • RIKEN Advanced Institute for Computational Science, Kobe, Japan

    Toshiyuki Imamura

  • Department of Communication Engineering and Informatics, University of Electro-Communications, Graduate School of Informatics and Engineering, Tokyo, Japan

    Yusaku Yamamoto

  • Department of Particle Physics, University of Tsukuba, Tsukuba, Japan

    Yoshinobu Kuramashi

  • Department of Applied Mathematics and Physics, Tottori University, Tottori, Japan

    Takeo Hoshi

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