Examples
X=[1 2 3;4 5 6] [E,Q,Z ,stair ,rk]=ereduc(X,1.d-15) |  |  |
computes matrix column echelon form by qz transformations
[E,Q,Z [,stair [,rk]]]=ereduc(X,tol)
m x n matrix with real entries.
real positive scalar.
column echelon form matrix
m x m unitary matrix
n x n unitary matrix
vector of indexes,
ISTAIR(i) = + j if the boundary element E(i,j) is a corner point.
ISTAIR(i) = - j if the boundary element E(i,j) is not a corner point.
(i=1,...,M)
integer, estimated rank of the matrix
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.
X=[1 2 3;4 5 6] [E,Q,Z ,stair ,rk]=ereduc(X,1.d-15) | | |