condition number of a matrix
c = cond(X) c = cond(X, p)
real or complex matrix. For the c = cond(X,p)
syntax,
X
must be square.
1 | 2 | %inf | "inf" | "fro": Used norm. Default value = 2.
positive decimal number: the condition number.
returns condition number in 2-norm.cond(X)
is the ratio
of the largest singular value of X
to the smallest.
returns the condition number in p-norm : norm(X, p) * norm(inv(X), p)
.
p
possible values are:
1 : | condition number in 1-norm. |
2 : | condition number in 2-norm. |
%inf | "inf" : | condition number in infinite norm |
"fro" : | condition number in Frobenius norm |
// Condition number of a non-square matrix cond([1 0 -1 ; 0 1 -1]) A = testmatrix('hilb',6); // condition number in 2-norm cond(A) cond(A, 2) // condition number in 1-norm cond(A, 1) // condition number in infinity norm cond(A, %inf) // condition number in Frobenius norm cond(A, 'fro') | ![]() | ![]() |
Version | Description |
5.4.0 |
|
6.0.2 | cond([]) now returns 0 instead of 1. |