LEADER 06884nam 22007335 450 001 9910255457903321 005 20200701193355.0 010 $a3-319-62426-1 024 7 $a10.1007/978-3-319-62426-6 035 $a(CKB)3790000000544714 035 $a(DE-He213)978-3-319-62426-6 035 $a(MiAaPQ)EBC5215005 035 $a(PPN)223955752 035 $a(EXLCZ)993790000000544714 100 $a20180103d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEigenvalue Problems: Algorithms, Software and Applications in Petascale Computing $eEPASA 2015, Tsukuba, Japan, September 2015 /$fedited by Tetsuya Sakurai, Shao-Liang Zhang, Toshiyuki Imamura, Yusaku Yamamoto, Yoshinobu Kuramashi, Takeo Hoshi 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (X, 313 p. 95 illus., 43 illus. in color.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v117 311 $a3-319-62424-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aAn 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. 330 $aThis book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas ? and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems. 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v117 606 $aComputer mathematics 606 $aComputer software 606 $aNumerical analysis 606 $aPhysics 606 $aAlgorithms 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aMathematical Software$3https://scigraph.springernature.com/ontologies/product-market-codes/M14042 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 615 0$aComputer mathematics. 615 0$aComputer software. 615 0$aNumerical analysis. 615 0$aPhysics. 615 0$aAlgorithms. 615 14$aComputational Science and Engineering. 615 24$aMathematical Software. 615 24$aNumerical Analysis. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aAlgorithms. 676 $a512.9434 702 $aSakurai$b Tetsuya$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZhang$b Shao-Liang$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aImamura$b Toshiyuki$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aYamamoto$b Yusaku$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKuramashi$b Yoshinobu$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHoshi$b Takeo$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910255457903321 996 $aEigenvalue Problems: Algorithms, Software and Applications in Petascale Computing$91563080 997 $aUNINA