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Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

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Cover of 'Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing'

Table of Contents

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    Book Overview
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    Chapter 1 An Error Resilience Strategy of a Complex Moment-Based Eigensolver
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    Chapter 2 Numerical Integral Eigensolver for a Ring Region on the Complex Plane
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    Chapter 3 A Parallel Bisection and Inverse Iteration Solver for a Subset of Eigenpairs of Symmetric Band Matrices
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    Chapter 4 The Flexible ILU Preconditioning for Solving Large Nonsymmetric Linear Systems of Equations
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    Chapter 5 Improved Coefficients for Polynomial Filtering in ESSEX
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    Chapter 6 Eigenspectrum Calculation of the O ( a )-Improved Wilson-Dirac Operator in Lattice QCD Using the Sakurai-Sugiura Method
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    Chapter 7 Properties of Definite Bethe–Salpeter Eigenvalue Problems
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    Chapter 8 Preconditioned Iterative Methods for Eigenvalue Counts
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    Chapter 9 Comparison of Tridiagonalization Methods Using High-Precision Arithmetic with MuPAT
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    Chapter 10 Computation of Eigenvectors for a Specially Structured Banded Matrix
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    Chapter 11 Monotonic Convergence to Eigenvalues of Totally Nonnegative Matrices in an Integrable Variant of the Discrete Lotka-Volterra System
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    Chapter 12 Accuracy Improvement of the Shifted Block BiCGGR Method for Linear Systems with Multiple Shifts and Multiple Right-Hand Sides
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    Chapter 13 Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver Using the Shifted Block Conjugate Gradient Method
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    Chapter 14 Filter Diagonalization Method by Using a Polynomial of a Resolvent as the Filter for a Real Symmetric-Definite Generalized Eigenproblem
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    Chapter 15 Off-Diagonal Perturbation, First-Order Approximation and Quadratic Residual Bounds for Matrix Eigenvalue Problems
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    Chapter 16 An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration
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    Chapter 17 Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation
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    Chapter 18 Recent Progress in Linear Response Eigenvalue Problems
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Title
Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing
Published by
Springer International Publishing, January 2018
DOI 10.1007/978-3-319-62426-6
ISBNs
978-3-31-962424-2, 978-3-31-962426-6
Editors

Sakurai, Tetsuya, Zhang, Shao-Liang, Imamura, Toshiyuki, Yamamoto, Yusaku, Kuramashi, Yoshinobu, Hoshi, Takeo

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