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BUILT-IN MATHEMATICA SYMBOL
LeastSquares
LeastSquares[m, b]
finds an x that solves the linear least-squares problem for the matrix equation 
.
Details and Options
- LeastSquares[m, b] gives a vector x that minimizes Norm[m.x-b].
- The vector x is uniquely determined by the minimization only if Length[x]==MatrixRank[m].
- The argument b can be a matrix, in which case the least-squares minimization is done independently for each column in b.
- LeastSquares works on both numerical and symbolic matrices, as well as SparseArray objects.
- A Method option can also be given. Settings for arbitrary-precision numerical matrices include
and 
, and for sparse arrays 
and 
. The default setting of Automatic switches between these methods, depending on the matrix given.
Examplesopen all
Basic Examples (1)
Solve a simple least-squares problem:
| In[1]:= |
| Out[1]= |  |
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