compute the QR factorization of a Matrix - Maple Help

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Student[LinearAlgebra][QRDecomposition] - compute the QR factorization of a Matrix

Calling Sequence

QRDecomposition(A, options)

Parameters

A

-

Matrix

options

-

(optional) parameters; for a complete list, see LinearAlgebra[QRDecomposition]

Description

• 

The QRDecomposition command computes the QR decomposition of the Matrix A, that is, a factorization into a product of an orthogonal (or unitary) Matrix, Q, and an upper triangular Matrix, R, such that A=Q.R.  The Matrices Q and R are returned in an expression sequence.

Examples

withStudent[LinearAlgebra]:

A:=1,2,3|4,5,6

A:=142536

(1)

Q,R:=QRDecompositionA

Q,R:=11414421211661714121211363141422121166,14167140372100

(2)

EqualQ.R,A

true

(3)

See Also

LinearAlgebra[QRDecomposition], Student[LinearAlgebra], Student[LinearAlgebra][GramSchmidt], Student[LinearAlgebra][LUDecomposition]


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