Matrix Condition Number (Not in Base Package)

Computes the condition number of a real matrix Input Matrix. Details

Input Matrix can be a rectangular matrix when norm type is 2-norm. If norm type is not 2-norm, Input Matrix must be a square matrix.
norm type indicates what type of norm is used to compute the condition number. norm type has four possible options. Refer to the Matrix Norm VI for a definition of a matrix norm.

02-norm (default)
11-norm
2F-norm
3inf-norm
condition number is the calculated condition number for a given norm. For the 2-norm the condition number is the ratio of the largest, singular value of Input Matrix to the smallest, singular value of Input Matrix.
error returns any error or warning condition from the VI.

Matrix Condition Number Details

Condition number defines c as

where is the norm of Input Matrix A. Different values of p define the different types of norms, therefore p defines different types of computations of condition numbers.

For the 2-norm condition number, c is the ratio of the largest, singular value of A to the smallest, singular value of A.

The condition number of a matrix measures the sensitivity of a system solution of linear equations to errors in the data. It gives an indication of the accuracy of the results from a matrix inversion and a linear equation solution.