svd_test a MATLAB code which calls svd(), which computes the singular value decomposition of a matrix.
The singular value decomposition has uses in solving overdetermined or underdetermined linear systems, linear least squares problems, data compression, the pseudoinverse matrix, reduced order modeling, and the accurate computation of matrix rank and null space.
The singular value decomposition of an M by N rectangular matrix A has the form
A(mxn) = U(mxm) * S(mxn) * V'(nxn)where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
svd_test is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
fingerprints, a dataset directory which contains a few images of fingerprints.
svd_basis, a MATLAB code which computes a reduced basis for a collection of data vectors using the svd.
svd_fingerprint, a MATLAB code which reads a file containing a fingerprint image and uses the singular value decomposition (svd) to compute and display a series of low rank approximations to the image.
svd_gray, a MATLAB code which reads a gray scale image, computes the singular value decomposition (svd), and constructs a series of low rank approximations to the image.
svd_snowfall, a MATLAB code which reads a file containing historical snowfall data and analyzes the data with the singular value decomposition (svd).
svd_truncated_test, a MATLAB code which demonstrates the computation of the reduced or truncated singular value decomposition (svd) that is useful for cases when one dimension of the matrix is much smaller than the other.