circle_map

circle_map, an Octave code which illustrates how a matrix maps points on the unit circle to an ellipse.

Licensing:

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

Languages:

circle_map is available in a MATLAB version and an Octave version.

Related Data and Programs:

circle_map_test

svd_circle, an Octave code which analyzes a linear map of the unit circle caused by an arbitrary 2x2 matrix A, using the singular value decomposition.

Reference:

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

Source Code:

• circle_map_dots.m plots the the unit circle and its image under a map y=A*x using dots.
• circle_map_letters.m plots the the unit circle and its image under a map y=A*x using letters.