  We propose a matrix regularization of vector bundles over a general closed
K\"ahler manifold. This matrix regularization is given as a natural
generalization of the Berezin-Toeplitz quantization and gives a map from
sections of a vector bundle to matrices. We examine the asymptotic behaviors of
the map in the large-$N$ limit. For vector bundles with algebraic structure, we
derive a beautiful correspondence of the algebra of sections and the algebra of
corresponding matrices in the large-$N$ limit. We give two explicit examples
for monopole bundles over a complex projective space $CP^n$ and a torus
$T^{2n}$.

High Energy Physics - Theory