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

From ApCoCoAWiki
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   <command>
 
   <command>
 
     <title>Num.LeastSquaresQR</title>
 
     <title>Num.LeastSquaresQR</title>
     <short_description>Calculates the least squares solution to the general problem Ax=b</short_description>
+
     <short_description>Calculates the least squares solution to the general problem Ax=b.</short_description>
 
<syntax>
 
<syntax>
Num.LeastSquaresQR(Mat:MAT, Vec:MAT):MAT;
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Num.LeastSquaresQR(Mat:MAT, Vec:MAT):MAT
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>

Revision as of 14:23, 28 April 2009

Num.LeastSquaresQR

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

Syntax

Num.LeastSquaresQR(Mat:MAT, Vec:MAT):MAT

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.

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 decomposition of Mat is used to find the solution.

  • @param Mat Matrix A

  • @param Vec Vector B in matrix form.

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

Example

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

See also

Introduction to CoCoAServer