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|a 9783319624266
|9 978-3-319-62426-6
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|a 10.1007/978-3-319-62426-6
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|a QA71-90
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|a PDE
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|a COM014000
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|a MAT003000
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|a Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing
|h [electronic resource] :
|b EPASA 2015, Tsukuba, Japan, September 2015 /
|c edited by Tetsuya Sakurai, Shao-Liang Zhang, Toshiyuki Imamura, Yusaku Yamamoto, Yoshinobu Kuramashi, Takeo Hoshi.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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|a X, 313 p. 95 illus., 43 illus. in color.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Computational Science and Engineering,
|x 1439-7358 ;
|v 117
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|a 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.
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|a 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.
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|a Mathematics.
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|a Algorithms.
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|a Computer mathematics.
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|a Computer software.
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|a Numerical analysis.
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|a Mathematics.
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|a Computational Science and Engineering.
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|a Mathematical Software.
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|a Numerical Analysis.
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|a Numerical and Computational Physics, Simulation.
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|a Algorithms.
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|a Sakurai, Tetsuya.
|e editor.
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1 |
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|a Zhang, Shao-Liang.
|e editor.
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700 |
1 |
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|a Imamura, Toshiyuki.
|e editor.
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700 |
1 |
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|a Yamamoto, Yusaku.
|e editor.
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700 |
1 |
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|a Kuramashi, Yoshinobu.
|e editor.
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700 |
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|a Hoshi, Takeo.
|e editor.
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710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9783319624242
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830 |
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|a Lecture Notes in Computational Science and Engineering,
|x 1439-7358 ;
|v 117
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856 |
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|u http://dx.doi.org/10.1007/978-3-319-62426-6
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
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