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Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing: EPASA 2015, Tsukuba, Japan, September 2015 de Tetsuya Sakurai

Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing: EPASA 2015, Tsukuba, Japan, September 2015: Lecture Notes in Computational Science and Engineering, cartea 117

Editat de Tetsuya Sakurai, Shao-Liang Zhang, Toshiyuki Imamura, Yusaku Yamamoto, Yoshinobu Kuramashi, Takeo Hoshi
en Limba Engleză Paperback – 4 iun 2019
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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Specificații

ISBN-13: 9783319873091
ISBN-10: 3319873091
Pagini: 313
Ilustrații: X, 313 p. 95 illus., 43 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Computational Science and Engineering

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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