## Types in MathNet.Numerics.LinearAlgebra.Factorization

Type GramSchmidt<T>

Namespace MathNet.Numerics.LinearAlgebra.Factorization

Parent QR<T>

A class which encapsulates the functionality of the QR decomposition Modified Gram-Schmidt Orthogonalization.

Any real square matrix A may be decomposed as A = QR where Q is an orthogonal mxn matrix and R is an nxn upper triangular matrix.

The computation of the QR decomposition is done at construction time by modified Gram-Schmidt Orthogonalization.

### Public Methods

#### Matrix<T>Solve(Matrix<T> input)

Solves a system of linear equations, , with A QR factorized.
##### Parameters
###### `Matrix<T>` input

The right hand side Matrix`1 , .

##### Return
###### `Matrix<T>`

The left hand side Matrix`1 , .

#### voidSolve(Matrix<T> input, Matrix<T> result)

Solves a system of linear equations, , with A QR factorized.
##### Parameters
###### `Matrix<T>` input

The right hand side Matrix`1 , .

###### `Matrix<T>` result

The left hand side Matrix`1 , .

#### Vector<T>Solve(Vector<T> input)

Solves a system of linear equations, , with A QR factorized.
##### Parameters
###### `Vector<T>` input

The right hand side vector, .

##### Return
###### `Vector<T>`

The left hand side Vector`1 , .

#### voidSolve(Vector<T> input, Vector<T> result)

Solves a system of linear equations, , with A QR factorized.
##### Parameters
###### `Vector<T>` input

The right hand side vector, .

###### `Vector<T>` result

The left hand side Matrix`1 , .