ereduc
computes matrix column echelon form by qz transformations
Syntax
[E,Q,Z [,stair [,rk]]]=ereduc(X,tol)
Arguments
- X
m x n matrix with real entries.
- tol
real positive scalar.
- E
column echelon form matrix
- Q
m x m unitary matrix
- Z
n x n unitary matrix
- stair
vector of indexes,
- *
ISTAIR(i) = + j
if the boundary elementE(i,j)
is a corner point.- *
ISTAIR(i) = - j
if the boundary elementE(i,j)
is not a corner point.
(i=1,...,M)
- rk
integer, estimated rank of the matrix
Description
Given an m x n
matrix X
(not necessarily regular) the function
ereduc computes a unitary transformed matrix E=Q*X*Z
which is in
column echelon form (trapezoidal form). Furthermore the rank of
matrix X
is determined.
Examples
X=[1 2 3;4 5 6] [E,Q,Z ,stair ,rk]=ereduc(X,1.d-15)
See also
- fstair — computes pencil column echelon form by qz transformations
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