Matrix Product Toolkit | Main / References

Talk slides

Infinite DMRG and the Matrix Product Toolkit. This is a good starting point for learning about the iMPS tools. idmrg-intro.pdf
Talk given at the Fourth Workshop on Tensor Network States: Algorithms and Applications, Hsinchu, Taiwan, 12/12/2016. tnsaa-2016-12-12.pdf
Talk given at the Workshop and Symposium on "DMRG Technique for Strongly Correlated Systems in Physics and Chemistry", Natal, Brazil, 26/6/2015. Brazil2015.pdf

U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96 (2011) http://dx.doi.org/10.1016/j.aop.2010.09.012
Older review by Schollwöck, Rev. Mod. Phys. 77, 259 (2005).
The Phd Thesis of Ian McCulloch contains a chapter introducing DMRG, also contains a comprehensive discussion of non-abelian symmetries.
Cirac et al, Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems https://arxiv.org/abs/2011.12127
Garnet Kin-Lic Chan and Sandeep Sharma, The Density Matrix Renormalization Group in Quantum Chemistry https://www.annualreviews.org/doi/abs/10.1146/annurev-physchem-032210-103338

https://www.tensors.net/ By Glen Evenbly
https://www.tensortrace.com/ Also by Glen Evenbly
http://tensornetwork.org/ Open source review article on tensor networks, developed by Miles Stoudenmire and others
https://itensor.org/ iTensor library
https://uni10.gitlab.io/ Universal Tensor Network Library - Uni10

Mari Carmen Bañuls, ''Tensor Network Algorithms: a Route Map``, https://arxiv.org/abs/2205.10345
R. Orus, A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States, Annals of Physics 349, 117 (2014) doi:10.1016/j.aop.2014.06.013
http://quamplexity.org/tensor-network-states/
Jacob Biamonte, Ville Bergholm, Tensor Networks in a Nutshell https://arxiv.org/abs/1708.00006
Kouichi Okunishi, Tomotoshi Nishino, and Hiroshi Ueda, Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement, J. Phys. Soc. Jpn. 91, 062001 (2022) https://doi.org/10.7566/JPSJ.91.062001

The original articles: Phys. Rev. Lett. 69, 2863 (1992) and Phys. Rev. B 48, 10345 (1993). Almost all DMRG papers cite one, usually both, of these articles. As of June 2017, the PRL has over 2,800 citations.
The Ph.D. thesis of Carsten Raas, Dynamic Density-Matrix Renormalization for the Symmetric Single Impurity Anderson Model
Time evolution algorithms for Matrix Product States and DMRG, by Juan Jose Garcia-Ripoll, cond-mat/0610210
Doctoral diploma dissertation by Thomas Barthel, Entanglement entropy in quantum many-particle systems and their simulation via ansatz states.
Good preprint cond-mat/0703037 from E. Sorensen et al., the introduction contains a nice review of entropy in condensed matter systems, and lots of references.
Preprint cond-mat/0701428, from I. McCulloch, on the connection between DMRG and MPS
quant-ph/0703044, Entanglement in Many-Body Systems by Luigi Amico et al.