svd_powers

svd_powers, a MATLAB code which applies singular value decomposition (SVD) analysis to a set of powers x(i)^(j-1).

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

svd_powers is available in a MATLAB version.

Related Data and Programs:

imshow_numeric, a MATLAB code which accepts a numeric 2D array and displays it as a grayscale image.

svd_basis, a MATLAB code which applies the Singular Value Decomposition (SVD) to a collection of data vectors, extracting dominant modes;

svd_test, a MATLAB code which demonstrates the singular value decomposition for a simple example.

svd_faces, a MATLAB code which applies singular value decomposition (SVD) analysis to a set of images.

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_powers_test

svd_snowfall, a MATLAB code which reads a file containing historical snowfall data and analyzes the data with the Singular Value Decomposition (SVD).

Reference:

• Lloyd Trefethen, David Bau,
  Numerical Linear Algebra,
  SIAM, 1997,
  ISBN: 0-89871-361-7,
  LC: QA184.T74.

Source Code:

• powers_data.m, generates a set of data x(i)^(j-1).
• svd_vectors.m, computes SVD vectors of an MxN array.