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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.

Eigenvalues --- Petaflops computers --- High performance computing --- Mathematics. --- Algorithms. --- Computer mathematics. --- Computer software. --- Numerical analysis. --- Computational Science and Engineering. --- Mathematical Software. --- Numerical Analysis. --- Numerical and Computational Physics, Simulation. --- Peta(FL)OPS computers --- Electronic digital computers --- Matrices --- Computer science. --- Algorism --- Algebra --- Arithmetic --- Mathematical analysis --- Software, Computer --- Computer systems --- Informatics --- Science --- Foundations --- Physics. --- Computer mathematics --- Electronic data processing --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics