Class FloatHermitianMatrix represents a matrix of single-precision
floating point complex values.
Namespace:
CenterSpace.NMath.MatrixAssembly: NMath (in NMath.dll) Version: 5.1.0.0
Syntax
| C# |
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[SerializableAttribute] public class FloatHermitianMatrix : ICloneable |
| Visual Basic (Declaration) |
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<SerializableAttribute> _ Public Class FloatHermitianMatrix _ Implements ICloneable |
| Visual C++ |
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[SerializableAttribute] public ref class FloatHermitianMatrix : ICloneable |
Remarks
An Hermitian matrix is equal to its conjugate transpose. In other words,
A[i,j] = conj(A[j,i]) for all elements i,j in matrix A.
The matrix is stored in a vector column by column. For efficiency, only the upper triangle is stored. For example, the following 5 by 5 Hermitian matrix:
CopyC#
is stored in a data vector v as:
CopyC#
In general, A[i,j] = v[j(j+1)/2+i], i<=j conj(v[i(i+1)/2+j]), j<i
The matrix is stored in a vector column by column. For efficiency, only the upper triangle is stored. For example, the following 5 by 5 Hermitian matrix:
| a00 a01 a02 a03 a04 |
| a10 a11 a12 a13 a14 |
A = | a20 a21 a22 a23 a24 |
| a30 a31 a32 a33 a34 |
| a40 a41 a42 a43 a44 |v = [a00 a01 a11 a02 a12 a22 a03 a13 a23 a33 a04 a14 a24 a34 a44 ]