Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing : EPASA 2015, Tsukuba, Japan, September 2015 / edited by Tetsuya Sakurai, Shao-Liang Zhang, Toshiyuki Imamura, Yusaku Yamamoto, Yoshinobu Kuramashi, Takeo Hoshi.

Format:

Book

Contributor:

Sakurai, Tetsuya., Editor.

Zhang, Shao-Liang., Editor.

Imamura, Toshiyuki., Editor.

Yamamoto, Yusaku., Editor.

Kuramashi, Yoshinobu., Editor.

Hoshi, Takeo., Editor.

Series:

Lecture Notes in Computational Science and Engineering, 2197-7100 ; 117

Language:

English

Subjects (All):

Mathematics--Data processing.

Mathematics.

Computer software.

Numerical analysis.

Mathematical physics.

Algorithms.

Computational Science and Engineering.

Mathematical Software.

Numerical Analysis.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Computational Science and Engineering.

Mathematical Software.

Numerical Analysis.

Theoretical, Mathematical and Computational Physics.

Algorithms.

Physical Description:

1 online resource (X, 313 p. 95 illus., 43 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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.

Contents:

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

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

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

The Flexible ILU Preconditioning for Solving Large Nonsymmetric Linear Systems of Equations: Takatoshi Nakamura and Takashi Nodera

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, and Jonas Thies

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, and Tetsuya Sakurai

Properties of Definite Bethe–Salpeter Eigenvalue Problems: Meiyue Shao and Chao Yang

Preconditioned Iterative Methods for Eigenvalue Counts: Eugene Vecharynski and Chao Yang

Comparison of Tridiagonalization Methods using High-precision Arithmetic with MuPAT: Ryoya Ino, Kohei Asami, Emiko Ishiwata, and Hidehiko Hasegawa

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

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, and Yoshimasa Nakamura

Accuracy Improvement of the Shifted Block BiCGGR Method for Linear Systems with Multiple Shifts and Multiple Right-Hand Sides: Hiroto Tadano, Shusaku Saito, and Akira Imakura

Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver using the Shifted Block Conjugate Gradient Method: Yasunori Futamura and Tetsuya Sakurai

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

Off-Diagonal Perturbation, First-Order Approximation and Quadratic Residual Bounds for Matrix Eigenvalue Problems: Yuji Nakatsukasa.- An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration: Yusaku Yamamoto.- Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation: Rio Yokota, Huda Ibeid, and David Keyes.- Recent Progress in Linear Response Eigenvalue Problems: Zhaojun Bai and Ren-Cang Li.

Notes:

Includes bibliographical references at the end of each chapters.

ISBN:

3-319-62426-1