Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing (eBook)

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.