Volume 46, pp. 215-232, 2017.
On the approximation of functionals of very large Hermitian matrices represented as matrix product operators
Moritz August, Mari Carmen BaƱuls, and Thomas Huckle
Abstract
We present a method to approximate functionals
Full Text (PDF) [484 KB], BibTeX
Key words
tensor decompositions, numerical analysis, Lanczos method, Gauss quadrature, quantum physics
AMS subject classifications
65F60, 65D15, 65D30, 65F15, 46N50, 15A69
Links to the cited ETNA articles
[5] | Vol. 2 (1994), pp. 1-21 D. Calvetti, L. Reichel, and D. C. Sorensen: An implicitly restarted Lanczos method for large symmetric eigenvalue problems |
[8] | Vol. 33 (2008-2009), pp. 207-220 L. Elbouyahyaoui, A. Messaoudi, and H. Sadok: Algebraic properties of the block GMRES and block Arnoldi methods |