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

From ApCoCoAWiki
m (insert version info)
m (replaced <quotes> tag by real quotes)
 
Line 22: Line 22:
 
-- CoCoAServer: computing Cpu Time = 0
 
-- CoCoAServer: computing Cpu Time = 0
 
-------------------------------
 
-------------------------------
[<quotes>-0.99</quotes>, <quotes>1</quotes>]
+
["-0.99", "1"]
 
-------------------------------
 
-------------------------------
 
</example>
 
</example>

Latest revision as of 13:47, 29 October 2020

This article is about a function from ApCoCoA-1.

Num.LeastSquaresQR

Computes the least squares solution of the linear system of equations Ax=b.

Syntax

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

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.

This command computes the least squares solution of the linear system of equations Ax=b, if 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 of the linear system of equations.

  • @param Vec Vector B as a matrix.

  • @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
-------------------------------
["-0.99", "1"]
-------------------------------

See also

Introduction to CoCoAServer