Skip to main content
main-content

Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

2017 | OriginalPaper | Buchkapitel

An Error Resilience Strategy of a Complex Moment-Based Eigensolver

Akira Imakura, Yasunori Futamura, Tetsuya Sakurai

2017 | OriginalPaper | Buchkapitel

Numerical Integral Eigensolver for a Ring Region on the Complex Plane

Yasuyuki Maeda, Tetsuya Sakurai, James Charles, Michael Povolotskyi, Gerhard Klimeck, Jose E. Roman

2017 | OriginalPaper | Buchkapitel

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

Hiroyuki Ishigami, Hidehiko Hasegawa, Kinji Kimura, Yoshimasa Nakamura

2017 | OriginalPaper | Buchkapitel

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

Takatoshi Nakamura, Takashi Nodera

2017 | OriginalPaper | Buchkapitel

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

2017 | OriginalPaper | Buchkapitel

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

2017 | OriginalPaper | Buchkapitel

Properties of Definite Bethe–Salpeter Eigenvalue Problems

Meiyue Shao, Chao Yang

2017 | OriginalPaper | Buchkapitel

Preconditioned Iterative Methods for Eigenvalue Counts

Eugene Vecharynski, Chao Yang

2017 | OriginalPaper | Buchkapitel

Comparison of Tridiagonalization Methods Using High-Precision Arithmetic with MuPAT

Ryoya Ino, Kohei Asami, Emiko Ishiwata, Hidehiko Hasegawa

2017 | OriginalPaper | Buchkapitel

Computation of Eigenvectors for a Specially Structured Banded Matrix

Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata

2017 | OriginalPaper | Buchkapitel

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

2017 | OriginalPaper | Buchkapitel

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

2017 | OriginalPaper | Buchkapitel

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

Yasunori Futamura, Tetsuya Sakurai

2017 | OriginalPaper | Buchkapitel

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

Hiroshi Murakami

2017 | OriginalPaper | Buchkapitel

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

Yuji Nakatsukasa

2017 | OriginalPaper | Buchkapitel

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

Yusaku Yamamoto

2017 | OriginalPaper | Buchkapitel

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

Rio Yokota, Huda Ibeid, David Keyes

2017 | OriginalPaper | Buchkapitel

Recent Progress in Linear Response Eigenvalue Problems

Zhaojun Bai, Ren-Cang Li

Backmatter

Weitere Informationen

Premium Partner

Neuer Inhalt

BranchenIndex Online

Die B2B-Firmensuche für Industrie und Wirtschaft: Kostenfrei in Firmenprofilen nach Lieferanten, Herstellern, Dienstleistern und Händlern recherchieren.

Whitepaper

- ANZEIGE -

Product Lifecycle Management im Konzernumfeld – Herausforderungen, Lösungsansätze und Handlungsempfehlungen

Für produzierende Unternehmen hat sich Product Lifecycle Management in den letzten Jahrzehnten in wachsendem Maße zu einem strategisch wichtigen Ansatz entwickelt. Forciert durch steigende Effektivitäts- und Effizienzanforderungen stellen viele Unternehmen ihre Product Lifecycle Management-Prozesse und -Informationssysteme auf den Prüfstand. Der vorliegende Beitrag beschreibt entlang eines etablierten Analyseframeworks Herausforderungen und Lösungsansätze im Product Lifecycle Management im Konzernumfeld.
Jetzt gratis downloaden!

Bildnachweise