mtimes - Class: LagOp
Lag operator polynomial multiplication
Syntax
C =
mtimes(A, B,
'Tolerance',tolerance)
C = A * B
Description
Given two lag operator polynomials A(L) and B(L),C =
mtimes(A, B,
'Tolerance',tolerance) performs
a polynomial multiplication C(L) = A(L) * B(L).
If at least one of A or B is
a lag operator polynomial object, the other can be a cell array of
matrices (initial lag operator coefficients), or a single matrix (zero-degree
lag operator). 'Tolerance' is the positive
scalar tolerance used to determine which coefficients are included
in the result. The default tolerance is 1e-12. Specifying a tolerance
greater than 0 allows the user to exclude polynomial lags with near-zero
coefficients. A coefficient matrix of a given lag is excluded only
if the magnitudes of all elements of the matrix are less than or equal
to the specified tolerance.
C = A * B performs
a polynomial multiplication C(L) = A(L) * B(L).
Tips
The multiplication operator (*) invokes mtimes,
but the optional coefficient tolerance is available only by calling mtimes directly.
Examples
Create two LagOp polynomials and multiply them
together:
A = LagOp({1 -0.6 0.08});
B = LagOp({1 -0.5});
mtimes(A,B)
ans =
1-D Lag Operator Polynomial:
-----------------------------
Coefficients: [1 -1.1 0.38 -0.04]
Lags: [0 1 2 3]
Degree: 3
Dimension: 1See Also
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