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Automatic performance tuning using the ATMathCoreLib tool: Two experimental studies related to dense symmetric eigensolvers.

, , , , and . Concurr. Comput. Pract. Exp., (2024)

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Application of the Fast Gauss Transform to Option Pricing., and . Manag. Sci., 49 (8): 1071-1088 (2003)Combinatorial preconditioning for accelerating the convergence of the parallel block Jacobi method for the symmetric eigenvalue problem., , and . JSIAM Lett., (2021)A parallel algorithm for incremental orthogonalization based on the compact WY representation., and . JSIAM Lett., (2011)Probabilistic analysis of an estimator for the Frobenius norm of a matrix product., and . JSIAM Lett., (2017)A large-grained parallel algorithm for nonlinear eigenvalue problems and its implementation using OmniRPC., , and . CLUSTER, page 42-49. IEEE Computer Society, (2008)Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices., , and . Numerische Mathematik, 136 (4): 1071-1095 (2017)On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix.. CoRR, (2017)Equality conditions for lower bounds on the smallest singular value of a bidiagonal matrix.. Appl. Math. Comput., 200 (1): 254-260 (2008)Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation., , , , and . Numer. Algorithms, 61 (2): 243-260 (2012)Performance Modeling and Optimal Block Size Selection for the Small-Bulge Multishift QR Algorithm.. ISPA, volume 4330 of Lecture Notes in Computer Science, page 451-463. Springer, (2006)