Matrix inverse in Matlab

Y = inv(X)

Y = inv(X) computes the inverse of square matrix X.

  • X^(-1) is equivalent to inv(X).
  • x = A\b is computed differently than x = inv(A)*b and is recommended for solving systems of linear equations

he backslash calculation is quicker and has less residual error by several orders of magnitude. The fact that err_inv and err_bs are both on the order of 1e-6 simply reflects the condition number of the matrix.

The behavior of this example is typical. Using A\b instead of inv(A)*b is two to three times faster, and produces residuals on the order of machine accuracy relative to the magnitude of the data.


https://fr.mathworks.com/help/matlab/ref/inv.html

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s