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Chebyshev Moment Problems: Maximum Entropy and Kernel Polynomial Methods

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 79))

Abstract

Two Chebyshev recursion methods are presented for calculations with very large sparse Hamiltonians, the kernel polynomial method (KPM) and the maximum entropy method (MEM). They are applicable to physical properties involving large numbers of eigenstates such as densities of states, spectral functions, thermodynamics, total energies for Monte Carlo simulations and forces for tight binding molecular dynamics. This paper emphasizes efficient algorithms.

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© 1996 Springer Science+Business Media Dordrecht

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Silver, R.N., Roeder, H., Voter, A.F., Kress, J.D. (1996). Chebyshev Moment Problems: Maximum Entropy and Kernel Polynomial Methods. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_22

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  • DOI: https://doi.org/10.1007/978-94-011-5430-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6284-8

  • Online ISBN: 978-94-011-5430-7

  • eBook Packages: Springer Book Archive

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