Escaping the Krylov space during the finite-precision Lanczos algorithm.
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DOI: 10.1103/k94p-vls8
Abstract: The Lanczos algorithm, introduced by Cornelius Lanczos, has been known for a long time and is widely used in computational physics. While often employed to approximate extreme eigenvalues and eigenvectors of an operator, interest in… read more here.
Keywords: space; finite precision; lanczos algorithm; lanczos ... See more keywords
Accuracy of the microcanonical Lanczos method to compute real-frequency dynamical spectral functions of quantum models at finite temperatures.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.043308
Abstract: We examine the accuracy of the microcanonical Lanczos method (MCLM) developed by Long et al. [Phys. Rev. B 68, 235106 (2003)PRBMDO0163-182910.1103/PhysRevB.68.235106] to compute dynamical spectral functions of interacting quantum models at finite temperatures. The MCLM is… read more here.
Keywords: energy; microcanonical lanczos; lanczos method; lanczos ... See more keywords