Found 40 Documents (Results 1–40)
Uncertainty quantification under dependent random variables by a generalized polynomial dimensional decomposition. (English) Zbl 1440.60044
Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting. (English) Zbl 1453.65090
Introduction to communication avoiding algorithms for direct methods of factorization in linear algebra. (English) Zbl 1443.65032
Mateos, Mariano (ed.) et al., Computational mathematics, numerical analysis and applications. Lecture notes of the XVII ‘Jacques-Louis Lions’ Spanish-French school, Gijón, Spain, June 2016. Cham: Springer. SEMA SIMAI Springer Ser. 13, 153-185 (2017).
Wiener-Hermite polynomial expansion for multivariate Gaussian probability measures. (English) Zbl 1373.60071
A multilevel approach for computing the limited-memory Hessian and its inverse in variational data assimilation. (English) Zbl 1348.65074
Matrix-free Krylov iteration for implicit convolution of numerically low-rank data. (English) Zbl 1346.94016
Near-optimal perfectly matched layers for indefinite Helmholtz problems. (English) Zbl 1344.35009
Reviewer: Andreas Kleefeld (Jülich)
Learning from patches by efficient spectral decomposition of a structured kernel. (English) Zbl 1357.68183
Subspace iteration randomization and singular value problems. (English) Zbl 1328.65088
MSC:
65F15
65F30
Approximating ground and excited state energies on a quantum computer. (English) Zbl 1328.81079
MSC:
81P68
A practical introduction to tensor networks: Matrix product states and projected entangled pair states. (English) Zbl 1343.81003
Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing. (English) Zbl 1296.62115
Uncertainty quantification of high-dimensional complex systems by multiplicative polynomial dimensional decompositions. (English) Zbl 1352.60003
Direct extension of the density-matrix renormalization group method toward two-dimensional large quantum lattices and related high-performance computing. (English) Zbl 1447.81083
A Rayleigh-Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices. (English) Zbl 1197.65034
MSC:
65F15
A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. (English) Zbl 1186.65044
Reviewer: Petko Hr. Petkov (Sofia)
Studies on Jacobi-Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates. (English) Zbl 1174.65372
MSC:
65F15
The density-matrix renormalization group. (English) Zbl 1205.82073
MSC:
82B28
82-08
On the sensitivity of Lanczos recursions to the spectrum. (English) Zbl 1079.65045
Reviewer: Daniel Kressner (Zagreb)
Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization. (English) Zbl 1049.65027
Reviewer: Daniel Kressner (Berlin)
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