ApCoCoA-1:Num.LeastSquaresQR

Numerical.LeastSquaresQR

Calculates the least squares solution to the general problem Ax=b

Syntax

Num.LeastSquaresQR(Mat:Matrix, Vec:Matrix):Matrix;

Description

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use

it/them. Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.

Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The matrix Mat must have the same number of rows as Vec.

The QR decompostion of Mat is used to find the solution.

• @param Mat Matrix A

• @param Vec Vector B in matrix form.

• @return The least squares soltion to Ax=b.

Example

Dec(Num.LeastSquaresQR([[1,1],[0,1],[1,1]],[[0],[1],[0]]),2);
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
Mat([
  ["-0.99"],
  ["1"]
])
-------------------------------

See also

Introduction to CoCoAServer