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Please note that the recommended version of Scilab is 2024.1.0. This page might be outdated.
See the recommended documentation of this function
fstair
computes pencil column echelon form by qz transformations
Calling Sequence
[AE,EE,QE,ZE,blcks,muk,nuk,muk0,nuk0,mnei]=fstair(A,E,Q,Z,stair,rk,tol)
Arguments
- A
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 (see ereduc)
- rk
integer, estimated rank of the matrix
- AE
m x n matrix with real entries.
- EE
column echelon form matrix
- QE
m x m unitary matrix
- ZE
n x n unitary matrix
- nblcks
is the number of submatrices having full row rank >= 0 detected in matrix
A
.- muk:
integer array of dimension (n). Contains the column dimensions mu(k) (k=1,...,nblcks) of the submatrices having full column rank in the pencil sE(eps)-A(eps)
- nuk:
integer array of dimension (m+1). Contains the row dimensions nu(k) (k=1,...,nblcks) of the submatrices having full row rank in the pencil sE(eps)-A(eps)
- muk0:
integer array of dimension (n). Contains the column dimensions mu(k) (k=1,...,nblcks) of the submatrices having full column rank in the pencil sE(eps,inf)-A(eps,inf)
- nuk:
integer array of dimension (m+1). Contains the row dimensions nu(k) (k=1,...,nblcks) of the submatrices having full row rank in the pencil sE(eps,inf)-A(eps,inf)
- mnei:
integer array of dimension (4). mnei(1) = row dimension of sE(eps)-A(eps)
Description
Given a pencil sE-A
where matrix E
is in column echelon form the
function fstair
computes according to the wishes of the user a
unitary transformed pencil QE(sEE-AE)ZE
which is more or less similar
to the generalized Schur form of the pencil sE-A
.
The function yields also part of the Kronecker structure of
the given pencil.
Q,Z
are the unitary matrices used to compute the pencil where E
is in column echelon form (see ereduc)
See Also
Authors
Th.G.J. Beelen (Philips Glass Eindhoven). SLICOT
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