bayes.m

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%%  [covmp,mmap]=bayes(G,mprior,covm,d,covd)%%  Given a linear inverse problem Gm=d, a prior mean mprior and covariance%  matrix covm, data d, and data covariance matrix covd, this function %  computes the MAP solution and the corresponding covariance matrix.%function [covmp,mmap]=bayes(G,mprior,covm,d,covd)covmp=inv(G'*inv(covd)*G+inv(covm));%% This takes care of any lack of symmetry in covmp.%covmp=(covmp+covmp')/2;covd12=sqrtm(inv(covd));covm12=sqrtm(inv(covm));A=[covd12*G; covm12];rhs=[covd12*d; covm12*mprior];mmap=A\rhs;

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