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

From ApCoCoAWiki
Line 22: Line 22:
 
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Mat([
 
Mat([
   ["-0.99"],
+
   [<quotes>-0.99</quotes>],
   ["1"]
+
   [<quotes>1</quotes>]
 
])
 
])
 
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Revision as of 14:27, 27 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