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Use of the Gibbs sampler to invert large, possibly sparse, positive definite matrices

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Publication:1300831
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DOI10.1016/S0024-3795(98)10183-0zbMath1058.65050WikidataQ127662330 ScholiaQ127662330MaRDI QIDQ1300831

David A. Harville

Publication date: 11 November 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Monte Carlo methods (65C05) Theory of matrix inversion and generalized inverses (15A09)


Related Items

Making REML computationally feasible for large data sets: use of the Gibbs sampler, Stochastic boundary methods of fundamental solutions for solving PDEs, Strategies for Fitting Large, Geostatistical Data in MCMC Simulation



Cites Work

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  • Simulation methodology - an introduction for queueing theorists
  • Solution of sparse linear least squares problems using Givens rotations
  • Comparing sweep strategies for stochastic relaxation
  • Sampling-Based Approaches to Calculating Marginal Densities
  • Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
  • On Deriving the Inverse of a Sum of Matrices
  • Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
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