Man Scilab

rank - rank

Calling Sequence

[i]=rank(X)

[i]=rank(X,tol)

Parameters

• X : real or complex matrix
• tol : nonnegative real number

Description

rank(X) is the numerical rank of X i.e. the number of singular values of X that are larger than norm(size(X),'inf') * norm(X) * %eps .

rank(X,tol) is the number of singular values of X that are larger than tol .

Note that the default value of tol is proportional to norm(X) . As a consequence rank([1.d-80,0;0,1.d-80]) is 2 !.

Examples

rank([1.d-80,0;0,1.d-80])
rank([1,0;0,1.d-80])
 
  

See Also

svd ,   qr ,   rowcomp ,   colcomp ,   lu ,  

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