mikera.matrixx.decompose

Interface IQRResult

All Known Implementing Classes:

QRResult

public interface IQRResult

QR decompositions decompose a rectangular matrix 'A' such that 'A=QR'. Where A ∈ ℜ ^{n × m} , n ≥ m, Q ∈ ℜ ^{n × n} is an orthogonal matrix, and R ∈ ℜ ^{n × m} is an upper triangular matrix. Some implementations of QR decomposition require that A has full rank.

Some features of QR decompositions:

• Can decompose rectangular matrices.
• Numerically stable solutions to least-squares problem, but not as stable as SVD

Orthogonal matrices have the following properties:

• QQ^T=I
• Q^T=Q^-1

Author:

Peter Abeles

Method Summary

Modifier and Type	Method and Description
AMatrix	getQ() Returns the Q matrix from the decomposition.
AMatrix	getR() Returns the R matrix from the decomposition.

Method Detail

getQ

AMatrix getQ()

Returns the Q matrix from the decomposition.

Returns:

The Q matrix.

getR

AMatrix getR()

Returns the R matrix from the decomposition.

Returns:

The R matrix.