math.net conversion of Matrix to Generic.Matrix<float>

Question

let v = [| 5.0; 2.0; 3.0; 11.0 |]
let m2 = new DenseMatrix(2, 2, v)
let invm = m2.Inverse()
let invt = m2.Transpose()

Here m2 is a Matrix. However, invm and invt are Generic.Matrix<float>. Why this conversion?

Gene Belitski · Accepted Answer · 2013-11-12 19:33:37Z

4

Shortly, because the signatures of DenseMatrix.Inverse() and DenseMatrix.Transpose() are

DenseMatrix.Inverse: unit -> Matrix<float>
DenseMatrix.Transpose: unit -> Matrix<float>

Matrix is an abstract class that provides common implementation of Inverse and Transpose methods for any matrix. Concrete derived subclasses DenseMatrix, SparseMatrix, and DiagonalMatrix just optimize way of storing matrix data depending on each use case.

You may upcast

let m2 = new DenseMatrix(2, 2, v) :> Matrix<float>

and manipulate with generic types after matrix creation. You may want checking related topic Matrix vs DenseMatrix for further details.

answered Nov 12, 2013 at 19:33

Gene Belitski

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1 Comment

Christoph Rüegg Over a year ago

When you create the matrix using either the matrix function (matrix [[ 5.0; 3.0]; [2.0; 11.0]]) or one of the factory functions in the DenseMatrix module of the F# extensions, the matrix will automatically be of the generic type.

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