Altaxo user manual and class reference
Altaxo class reference
Altaxo Namespaces
Altaxo.Calc Namespaces
Altaxo.Calc.LinearAlgebra
MatrixMath Class
MatrixMath Methods
Add Method
AddRow Method
Any Method
Clear<T> Method
Clear_DefaultImpl<T> Method
ColumnsToZeroMean Method
ColumnsToZeroMeanAndUnitVariance Method
ColumnToROVector<T> Method
ColumnToVector<T> Method
Copy Method
CopyColumn Method
CopyRow Method
DenseOfMatrix<T> Method
DivideRow Method
EnumerateElementsIndexed<T> Method
GetMatrixArray Method
GetSingularValueDecomposition Method
Hypotenuse Method
InvertDiagonalMatrix Method
IsEqual Method
IsZeroMatrix Method
LengthOf Method
Map Method
MapIndexed Method
MatrixToString Method
Max Method
Min Method
Multiply Method
MultiplyFirstTransposed Method
MultiplyRow Method
MultiplyScalar Method
MultiplySecondTransposed Method
MultiplyVectorFromLeftAndRight Method
NIPALS_HO Method
Norm Method
NormalizeCols Method
NormalizeOneColumn Method
NormalizeRows Method
PseudoInverse Method
ReplaceNaNAndInfiniteElementsWith Method
ReplaceNaNElementsWith Method
RowToROVector Method
RowToVector Method
SetColumn Method
SetMatrixElements Method
SetRow Method
Square Method
SubMatrix Method
Overload:Altaxo.Calc.LinearAlgebra.MatrixMath.SubMatrix
Subtract Method
SubtractColumn Method
SubtractProductFromSelf Method
SubtractRow Method
SumOfSquaredDifferences Method
SumOfSquares Method
ToMatrix Method
ToMatrixFromColumnMajorLinearArray<T> Method
ToMatrixFromLeftSpineJaggedArray<T> Method
ToMatrixFromTopSpineJaggedArray<T> Method
ToRODiagonalMatrix<T> Method
ToROMatrix Method
ToROMatrixFromColumnMajorLinearArray<T> Method
ToROMatrixFromLeftSpineJaggedArray<T> Method
ToROMatrixFromTopSpineJaggedArray<T> Method
ToROMatrixWithOneColumn<T> Method
ToROMatrixWithOneRow<T> Method
ToROSubMatrix<T> Method
ToSubMatrix<T> Method
ToZeroMean Method
Trace Method
ZeroMatrix Method
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MatrixMathColumnsToZeroMeanAndUnitVariance Method

This will center the matrix so that the mean of each column is null, and the variance of each column is one.

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
Copy
public static void ColumnsToZeroMeanAndUnitVariance(
	IMatrix<double> a,
	IVector<double>? meanvec,
	IVector<double>? scalevec
)

Parameters

a  IMatrixDouble
The matrix where the columns should be centered and normalized to standard variance.
meanvec  IVectorDouble
You can provide a vector of length(a.Cols) where the mean row vector is stored, or null if not interested in this vector.
scalevec  IVectorDouble
You can provide a vector of length(a.Cols) where the inverse of the variance of the columns is stored, or null if not interested in this vector.
Remarks
Calling this function will change the matrix a to a column centered matrix. The original matrix data are lost.
See Also