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Hoshi, Takeo

Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

Hoshi, Takeo - Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, ebook

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ISBN: 9783319624266
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Table of contents

1. An Error Resilience Strategy of a Complex Moment-Based Eigensolver
Akira Imakura, Yasunori Futamura, Tetsuya Sakurai

2. Numerical Integral Eigensolver for a Ring Region on the Complex Plane
Yasuyuki Maeda, Tetsuya Sakurai, James Charles, Michael Povolotskyi, Gerhard Klimeck, Jose E. Roman

3. A Parallel Bisection and Inverse Iteration Solver for a Subset of Eigenpairs of Symmetric Band Matrices
Hiroyuki Ishigami, Hidehiko Hasegawa, Kinji Kimura, Yoshimasa Nakamura

4. The Flexible ILU Preconditioning for Solving Large Nonsymmetric Linear Systems of Equations
Takatoshi Nakamura, Takashi Nodera

5. Improved Coefficients for Polynomial Filtering in ESSEX
Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, Andreas Pieper, Georg Hager, Moritz Kreutzer, Faisal Shahzad, Gerhard Wellein, Achim Basermann, Melven Röhrig-Zöllner, Jonas Thies

6. 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, Tetsuya Sakurai

7. Properties of Definite Bethe–Salpeter Eigenvalue Problems
Meiyue Shao, Chao Yang

8. Preconditioned Iterative Methods for Eigenvalue Counts
Eugene Vecharynski, Chao Yang

9. Comparison of Tridiagonalization Methods Using High-Precision Arithmetic with MuPAT
Ryoya Ino, Kohei Asami, Emiko Ishiwata, Hidehiko Hasegawa

10. Computation of Eigenvectors for a Specially Structured Banded Matrix
Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata

11. 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

12. 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

13. Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver Using the Shifted Block Conjugate Gradient Method
Yasunori Futamura, Tetsuya Sakurai

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

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

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

17. Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation
Rio Yokota, Huda Ibeid, David Keyes

18. Recent Progress in Linear Response Eigenvalue Problems
Zhaojun Bai, Ren-Cang Li

Keywords: Mathematics, Computational Science and Engineering, Mathematical Software, Numerical Analysis, Numerical and Computational Physics, Simulation, Algorithms

Editor
 
 
 
 
 
Publisher
Springer
Publication year
2017
Language
en
Edition
1
Series
Lecture Notes in Computational Science and Engineering
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319624266
Printed ISBN
978-3-319-62424-2

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