Difference between revisions of "ApCoCoA-1:Num.LeastSquaresQR"

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Revision as of 12:57, 22 April 2009

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.

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