QR Function
Functionality for QR Factorization
Description
The Function \(QR\) contains the QR factorization functionality of a modified Gram-Schmidt orthogonalization.
Every real quadratic matrix \(A\) can be decomposed as \(A = QR\).
\(Q\) is an orthogonal \(m * n \) matrix and \(R \) is the upper triangular matrix \(n * n \)
\(QR\) is implemented as a RedCrab class. The result is an object of class \(QR\)
Syntax
QR (Matrix)
QR (Format, Matrix)
Elements of class QR
M
Q
R
Factorizable matrix
Orthogonal \(m * n \) matrix
Upper triangular matrix
Example
Zugriff auf Element \(Q\) per Formatstring: