Download Help (Windows Only) |
Owning Class: linalgebra
Requires: MathScript RT Module
r = qr(a)
r = qr(a, 0)
[q, r] = qr(a)
[q, r] = qr(a, 0)
[q, r, pm] = qr(a)
[q, r, pv] = qr(a, 0)
Performs the QR decomposition of an input matrix with or without column pivoting.
Name | Description |
---|---|
a | Specifies a matrix. |
0 | Specifies that LabVIEW computes the economy size QR decomposition such that the size of q is m-by-min(m, n) and the size of r is min(m, n)-by-n, where a is an m-by-n matrix. |
Name | Description |
---|---|
q | Returns the orthogonal or unitary matrix of the QR decomposition of a. |
r | Returns the upper triangular matrix of the QR decomposition of a. |
pm | Returns the pivot matrix of the QR decomposition of a. pm is a matrix of 32-bit signed integers. |
pv | Returns the pivot vector of the QR decomposition of a. pv is a row vector of 32-bit signed integers. |
The QR decomposition of a matrix a without column pivoting computes matrices q and r such that q*r = a, where q is an orthogonal or unitary matrix and r is an upper triangular matrix.
The QR decomposition of a matrix a with column pivoting computes matrices q and r and the pivot matrix pm or the pivot vector pv such that q*r = a*pm or q*r = a(pv). LabVIEW performs column pivoting on a such that the diagonal elements of r are in decreasing order.
The following table lists the support characteristics of this function.
Supported in the LabVIEW Run-Time Engine | Yes |
Supported on RT targets | Yes |
Suitable for bounded execution times on RT | Not characterized |
A = rand(2)
[Q, R, P] = qr(A)