Class for serving up generalized singular value
decompositions (GSVD) in the form of FloatComplexGSVDecomp
instances.
Namespace:
CenterSpace.NMath.MatrixAssembly: NMath (in NMath.dll) Version: 5.1.0.0
Syntax
| C# |
|---|
[SerializableAttribute] public class FloatComplexGSVDecompServer |
| Visual Basic (Declaration) |
|---|
<SerializableAttribute> _ Public Class FloatComplexGSVDecompServer |
| Visual C++ |
|---|
[SerializableAttribute] public ref class FloatComplexGSVDecompServer |
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.
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.
