Altaxo user manual and class reference
Altaxo class reference
Altaxo Namespaces
Altaxo.Calc Namespaces
Altaxo.Calc.LinearAlgebra
Matrix<T> Class
Matrix<T> Methods
Abs Method
Acos Method
Add Method
Append Method
AsArray Method
AsColumnArrays Method
AsColumnMajorArray Method
Asin Method
AsRowArrays Method
AsRowMajorArray Method
At Method
Atan Method
Ceiling Method
Cholesky Method
Clear Method
ClearColumn Method
ClearColumns Method
ClearRow Method
ClearRows Method
ClearSubMatrix Method
Clone Method
CoerceZero Method
Column Method
ColumnAbsoluteSums Method
ColumnNorms Method
ColumnSums Method
ConditionNumber Method
Conjugate Method
ConjugateTranspose Method
ConjugateTransposeAndMultiply Method
ConjugateTransposeThisAndMultiply Method
CopyTo Method
Cos Method
Cosh Method
Determinant Method
Diagonal Method
DiagonalStack Method
Divide Method
DivideByThis Method
DoAdd Method
DoConjugate Method
DoConjugateTransposeAndMultiply Method
DoConjugateTransposeThisAndMultiply Method
DoDivide Method
DoDivideByThis Method
DoLeftMultiply Method
DoModulus Method
DoModulusByThis Method
DoMultiply Method
DoNegate Method
DoPointwiseAbs Method
DoPointwiseAbsoluteMaximum Method
DoPointwiseAbsoluteMinimum Method
DoPointwiseAcos Method
DoPointwiseAsin Method
DoPointwiseAtan Method
DoPointwiseAtan2 Method
DoPointwiseCeiling Method
DoPointwiseCos Method
DoPointwiseCosh Method
DoPointwiseDivide Method
DoPointwiseExp Method
DoPointwiseFloor Method
DoPointwiseLog Method
DoPointwiseLog10 Method
DoPointwiseMaximum Method
DoPointwiseMinimum Method
DoPointwiseModulus Method
DoPointwiseMultiply Method
DoPointwisePower Method
DoPointwiseRemainder Method
DoPointwiseRound Method
DoPointwiseSign Method
DoPointwiseSin Method
DoPointwiseSinh Method
DoPointwiseSqrt Method
DoPointwiseTan Method
DoPointwiseTanh Method
DoRemainder Method
DoRemainderByThis Method
DoSubtract Method
DoSubtractFrom Method
DoTransposeAndMultiply Method
DoTransposeThisAndMultiply Method
Enumerate Method
EnumerateColumns Method
EnumerateColumnsIndexed Method
EnumerateIndexed Method
EnumerateRows Method
EnumerateRowsIndexed Method
Equals Method
Evd Method
Exists Method
Exists2<TOther> Method
Exp Method
Find Method
Find2<TOther> Method
Floor Method
Fold2<TOther, TState> Method
FoldByColumn<TU> Method
FoldByRow<TU> Method
FoldColumns<TU> Method
FoldRows<TU> Method
ForAll Method
ForAll2<TOther> Method
FrobeniusNorm Method
GetHashCode Method
GramSchmidt Method
InfinityNorm Method
InsertColumn Method
InsertRow Method
Inverse Method
IsHermitian Method
IsSymmetric Method
Kernel Method
KroneckerProduct Method
L1Norm Method
L2Norm Method
LeftMultiply Method
Log Method
Log10 Method
LowerTriangle Method
LU Method
Map Method
Map2 Method
MapConvert<TU> Method
MapIndexed Method
MapIndexedConvert<TU> Method
MapIndexedInplace Method
MapInplace Method
Modulus Method
ModulusByThis Method
Multiply Method
Negate Method
NormalizeColumns Method
NormalizeRows Method
Nullity Method
PermuteColumns Method
PermuteRows Method
PointwiseAbs Method
PointwiseAbsoluteMaximum Method
PointwiseAbsoluteMinimum Method
PointwiseAcos Method
PointwiseAsin Method
PointwiseAtan Method
PointwiseAtan2 Method
PointwiseBinary Method
PointwiseCeiling Method
PointwiseCos Method
PointwiseCosh Method
PointwiseDivide Method
PointwiseExp Method
PointwiseFloor Method
PointwiseLog Method
PointwiseLog10 Method
PointwiseMaximum Method
PointwiseMinimum Method
PointwiseModulus Method
PointwiseMultiply Method
PointwisePower Method
PointwiseRemainder Method
PointwiseRound Method
PointwiseSign Method
PointwiseSin Method
PointwiseSinh Method
PointwiseSqrt Method
PointwiseTan Method
PointwiseTanh Method
PointwiseUnary Method
Power Method
PseudoInverse Method
QR Method
Range Method
Rank Method
ReduceColumns Method
ReduceRows Method
Remainder Method
RemainderByThis Method
RemoveColumn Method
RemoveRow Method
Resize Method
Round Method
Row Method
RowAbsoluteSums Method
RowNorms Method
RowSums Method
SetColumn Method
SetDiagonal Method
SetRow Method
SetSubMatrix Method
Sin Method
Sinh Method
Solve Method
SolveIterative Method
Sqrt Method
Stack Method
StrictlyLowerTriangle Method
StrictlyUpperTriangle Method
SubMatrix Method
Subtract Method
SubtractFrom Method
Svd Method
Tan Method
Tanh Method
ToArray Method
ToColumnArrays Method
ToColumnMajorArray Method
ToMatrixString Method
ToMatrixStringArray Method
ToRowArrays Method
ToRowMajorArray Method
ToString Method
ToTypeString Method
Trace Method
Transpose Method
TransposeAndMultiply Method
TransposeThisAndMultiply Method
TrySolveIterative Method
UpperTriangle Method
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MatrixTL2Norm Method

Calculates the induced L2 norm of the matrix.

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
Copy
public virtual double L2Norm()

Return Value

Double
The largest singular value of the matrix.
Remarks
For sparse matrices, the L2 norm is computed using a dense implementation of singular value decomposition. In a later release, it will be replaced with a sparse implementation.
See Also