 | Double |
Class DoubleHermitianMatrix represents a matrix of double-precision
floating point complex values.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe DoubleHermitianMatrix type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | DoubleHermitianMatrix(DoubleComplexMatrix) | Constructs a square DoubleHermitianMatrix instance by extracting the upper triangular part of a square general matrix. |
| DoubleHermitianMatrix(DoubleComplexVector) | Constructs a DoubleHermitianMatrix instance using the data in the given vector. |
| DoubleHermitianMatrix(Int32) | Constructs a DoubleHermitianMatrix instance with the specified size. |
| DoubleHermitianMatrix(DoubleComplexVector, Int32) | Constructs a DoubleHermitianMatrix instance with the specified size, and using the data in the given vector. |
Properties| Name | Description | |
|---|---|---|
 | Cols | Gets the number of columns in the matrix. |
| DataVector | Gets the data vector referenced by this matrix. |
| Item | Gets and sets the value at the specified position. Symmetry is maintained. |
| Order | Gets the order of the matrix. |
| Rows | Gets the number of rows in the matrix. |
Methods| Name | Description | |
|---|---|---|
 | Add | Adds two Hermitian matrices. |
| Clone | Creates a deep copy of this matrix. |
| DeepenThisCopy | Guarantees that there is only one reference to the underlying data and that this data is in contiguous storage. |
| Divide(DoubleComplex, DoubleHermitianMatrix) | Divide a scalar by an Hermitian matrix. |
| Divide(DoubleHermitianMatrix, DoubleComplex) | Divide an Hermitian matrix by a scalar. |
| Divide(DoubleHermitianMatrix, DoubleHermitianMatrix) | Divide an Hermitian matrix by another. |
| Equals |
Tests for equality of this matrix and another matrix.
Two matrices are equal if they have the same dimensions
and all values are equal.
(Overrides ObjectEquals(Object)) |
| GetHashCode |
Returns an integer hash code for this matrix.
(Overrides ObjectGetHashCode) |
| LeadingSubmatrix | Returns the k by k upper left corner of the matrix. The matrix and the submatrix share the same data. |
| MakeDiagonalReal | Sets the imaginary parts on the main diagonal to zero thereby meeting the strict definition of an Hermitian matrix. |
| Multiply(DoubleComplex, DoubleHermitianMatrix) | Multiply a scalar and an Hermitian matrix. |
| Multiply(DoubleHermitianMatrix, DoubleComplex) | Multiply an Hermitian matrix and a scalar. |
| Multiply(DoubleHermitianMatrix, DoubleHermitianMatrix) | Multiply two lower Hermitian matrices. |
| Negate | Negation operator. |
| OnDeserialized | Checks that the matrix is square following deserialization |
| Resize | Changes the order of this matrix to that specified, adding zeros or truncating as necessary. |
| ShallowCopy | Creates a shallow copy of this matrix. |
| Subtract | Subtracts one Hermitian matrix from another. |
| ToGeneralMatrix | Converts this Hermitian matrix to a general matrix. |
 | ToString |
Returns a formatted string representation of this matrix.
(Overrides ObjectToString) |
| ToString(String) | Returns a formatted string representation of this matrix. Numbers are displayed using the specified format. |
| ToTabDelimited | Returns a formatted string representation of this matrix using tabs and newlines. |
| ToTabDelimited(String) | Returns a formatted string representation of this matrix using tabs and newlines. Numbers are formatted using the specified format string. |
| Transpose | Transposes the Hermitian matrix. |
Operators| Name | Description | |
|---|---|---|
 | Addition(DoubleHermitianMatrix, DoubleHermitianMatrix) | Adds two Hermitian matrices. |
| Division(DoubleComplex, DoubleHermitianMatrix) | Divide a scalar by an Hermitian matrix. |
| Division(DoubleHermitianMatrix, DoubleComplex) | Divide an Hermitian matrix by a scalar. |
| Division(DoubleHermitianMatrix, DoubleHermitianMatrix) | Divide an Hermitian matrix by another. |
| Equality(DoubleHermitianMatrix, DoubleHermitianMatrix) | Tests for equality of two Hermitian matrices. Two matrices are equal if they have the same order and all values are equal. |
| (DoubleSymmetricMatrix to DoubleHermitianMatrix) | Implicitly converts a DoubleSymmetricMatrix instance into a DoubleHermitianMatrix instance. |
| (FloatHermitianMatrix to DoubleHermitianMatrix) | Implicitly converts a FloatHermitianMatrix instance into a DoubleHermitianMatrix instance. |
| Inequality(DoubleHermitianMatrix, DoubleHermitianMatrix) | Tests for inequality of two Hermitian matrices. Two matrices are equal if they have the same order and all values are equal. |
| Multiply(DoubleComplex, DoubleHermitianMatrix) | Multiply a scalar and an Hermitian matrix. |
| Multiply(DoubleHermitianMatrix, DoubleComplex) | Multiply an Hermitian matrix and a scalar. |
| Multiply(DoubleHermitianMatrix, DoubleHermitianMatrix) | Multiply two lower Hermitian matrices. Multiply two lower Hermitian matrices. |
| Subtraction(DoubleHermitianMatrix, DoubleHermitianMatrix) | Subtracts one Hermitian matrix from another. |
| UnaryNegation(DoubleHermitianMatrix) | Negation operator. |
| UnaryPlus(DoubleHermitianMatrix) | Unary + operator. Just returns the input matrix. |
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:
is stored in a data vector v as:
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:
C#
| 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 |C#
v = [a00 a01 a11 a02 a12 a22 a03 a13 a23 a33 a04 a14 a24 a34 a44 ]
See Also