Scilab-Branch-6.1-GIT
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
cond
condition number of a matrix
Syntax
c = cond(X) c = cond(X, p)
Arguments
- X
real or complex matrix. For the
c = cond(X,p)
syntax,X
must be square.- p
1 | 2 | %inf | "inf" | "fro": Used norm. Default value = 2.
- c
positive decimal number: the condition number.
Description
- c = cond(X)
returns condition number in 2-norm.
cond(X)
is the ratio of the largest singular value ofX
to the smallest.- c = cond(X, p)
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
Examples
// 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')
See also
History
Version | Description |
5.4.0 |
|
6.0.2 | cond([]) now returns 0 instead of 1. |
Report an issue | ||
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