ComplexFloatSVDDecomp (FsODE)

FsODE

Documentation for 0.0.2

ComplexFloatSVDDecomp Type

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore.Redist.dll
Base Type: Algorithm
All Interfaces: IAlgorithm

This class computes the SVD factorization of a general ComplexFloatMatrix.

Constructors

Constructor Description


                
                  
                    
                      ComplexFloatSVDDecomp(matrix, computeVectors)

Full Usage: ComplexFloatSVDDecomp(matrix, computeVectors)

Parameters:

matrix : IROComplexFloatMatrix - The matrix to decompose.

computeVectors : bool - Whether to compute the singular vectors or not.

Constructor for SVD decomposition class.

matrix : IROComplexFloatMatrix: The matrix to decompose.
computeVectors : bool: Whether to compute the singular vectors or not.

ArgumentNullException

matrix is null.


                
                  
                    
                      ComplexFloatSVDDecomp(matrix)

Full Usage: ComplexFloatSVDDecomp(matrix)

Parameters:

matrix : IROComplexFloatMatrix - The matrix to decompose.

Constructor for SVD decomposition class.

matrix : IROComplexFloatMatrix: The matrix to decompose.

ArgumentNullException

matrix is null.

Instance members

Instance member	Description
`this.Condition` Full Usage: `this.Condition` Returns: `float32` the condition number.	Returns the condition number `max(S) / min(S)`. Returns: `float32` the condition number.
`this.Norm2` Full Usage: `this.Norm2` Returns: `float32` the two norm of the matrix.	Returns the two norm of the matrix. Returns: `float32` the two norm of the matrix.
`this.Rank` Full Usage: `this.Rank` Returns: `int` the number of non-negligible singular values.	Returns the effective numerical matrix rank>. Returns: `int` the number of non-negligible singular values.
`this.S` Full Usage: `this.S` Returns: `ComplexFloatVector` the singular values as a diagonal `ComplexFloatVector`.	Returns the singular values as a `ComplexFloatVector`. Returns: `ComplexFloatVector` the singular values as a diagonal `ComplexFloatVector`.
`this.U` Full Usage: `this.U` Returns: `ComplexFloatMatrix` the left singular vectors. The vectors will be `null` if, computerVectors is set to false.	Returns the left singular vectors. Returns: `ComplexFloatMatrix` the left singular vectors. The vectors will be `null` if, computerVectors is set to false.
`this.V` Full Usage: `this.V` Returns: `ComplexFloatMatrix` the right singular vectors. The vectors will be `null` if, computerVectors is set to false.	Returns the right singular vectors. Returns: `ComplexFloatMatrix` the right singular vectors. The vectors will be `null` if, computerVectors is set to false.
`this.W` Full Usage: `this.W` Returns: `ComplexFloatMatrix` the singular values as a diagonal matrix.	Returns the singular values as a diagonal matrix. Returns: `ComplexFloatMatrix` the singular values as a diagonal matrix.