 | FloatComplexGSVDecompServer Class |
Class for serving up generalized singular value
decompositions (GSVD) in the form of FloatComplexGSVDecomp
instances.
Inheritance HierarchySystemObject CenterSpace.NMath.CoreFloatComplexGSVDecompServer Namespace: CenterSpace.NMath.CoreAssembly: NMath (in NMath.dll) Version: 7.4
Syntax[SerializableAttribute]
public class FloatComplexGSVDecompServer : ICloneable
<SerializableAttribute>
Public Class FloatComplexGSVDecompServer
Implements ICloneable
[SerializableAttribute]
public ref class FloatComplexGSVDecompServer : ICloneable
[<SerializableAttribute>]
type FloatComplexGSVDecompServer =
class
interface ICloneable
end
The FloatComplexGSVDecompServer type exposes the following members.
Constructors | Name | Description |
---|
 | FloatComplexGSVDecompServer |
Creates a FloatComplexGSVDecompServer for computing general singular value
decomposition for matrices A and B, with all matrices of the decomposition
U'AQ = D1(0 R), V'BQ = D2(0 R)
are computed.
|
 | FloatComplexGSVDecompServer(Boolean, Boolean, Boolean) |
Creates a FloatComplexGSVDecompServer for computing general singular value
decomposition for matrices A and B, where U, V, Q in the decomposition
U'AQ = D1(0 R), V'BQ = D2(0 R)
are optionally computed.
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Properties | Name | Description |
---|
 | ComputeQ |
If true the matrix Q in the GSVD for matrices
A and B -
U'AQ = D1(0 R), V'BQ = D2(0 R)
will be computed. If false it will not be computed.
|
 | ComputeU |
If true the matrix U in the GSVD for matrices
A and B -
U'AQ = D1(0 R), V'BQ = D2(0 R)
will be computed. If false it will not be computed.
|
 | ComputeV |
If true the matrix V in the GSVD for matrices
A and B -
U'AQ = D1(0 R), V'BQ = D2(0 R)
will be computed. If false it will not be computed.
|
 | InPlace |
Gets and sets the in place factor option. If true the
decomposition will be performed in place, overwritting the
contents of the input matrices. No copies of the factored matrices are
made in this case.
If false the content of the input matrices will be preserved at the
expense of copies being made. The default is false.
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Methods | Name | Description |
---|
 | Clone |
Creates a deep copy of self.
|
 | GetDecomp |
Computes the general singular value decomposition
U'AQ = D1(0 R), V'BQ = D2(0 R)
for two matrices A and B, optionally computing U, V, and Q.
A and B must have the same number of columns.
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Remarks
The GSVD computed for an m x n matrix A and a p x n matrix B has
the form
U'AQ = D1(0 R), V'BQ = D2(0 R)
where U, V, and Q are orthogonal matrices, R is a nonsigular upper
triangular matrix, D1 and D2 are diagonal matrices, and Z' denotes
the transpose of the matrix Z. (0 R) is the matrix obtained by
prepending columns of all zeros to the upper triangular matrix R.
FloatComplexGSVDecompServer can be configured to optionally compute
explicit representation for the matrices U, V, and Q.
See Also