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Please note that the recommended version of Scilab is 6.0.1. This page might be outdated.
See the recommended documentation of this function

Scilab help >> Linear Algebra > rank

rank

rank

Calling Sequence

[i]=rank(X)
[i]=rank(X,tol)

Arguments

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 — singular value decomposition
  • qr — QR decomposition
  • rowcomp — row compression, range
  • colcomp — column compression, kernel, nullspace
  • lu — LU factorization with pivoting
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Last updated:
Thu May 12 11:44:14 CEST 2011