On the approximation of functionals of very large Hermitian matrices represented as matrix product operators

zbMath1369.65063arXiv1610.06086MaRDI QIDQ2363890

Moritz August, Mari Carmen Bañuls, Thomas Kilian Huckle

Publication date: 17 July 2017

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06086

zbMATH Keywords

algorithmHermitian matricesLanczos methodGauss quadraturequantum physicstensor decompositionsmatrix product operators

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Algorithms for approximation of functions (65D15) Multilinear algebra, tensor calculus (15A69) Numerical computation of matrix exponential and similar matrix functions (65F60)

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