A matrix class of size m x n that contains complex numbers.
Declaration Syntax| C# | Visual Basic | Visual C++ |
public class ComplexMatrix : ICoveObject
Public Class ComplexMatrix _ Implements ICoveObject
public ref class ComplexMatrix : ICoveObject
Members| All Members | Constructors | Methods | Fields | ||
| Icon | Member | Description |
|---|---|---|
 | ComplexMatrix()()() |
Default constructor, construct a 2 x 2 matrix with all entries set to 0.
|
| ComplexMatrix(Int32, Int32) |
Construct a Rows x Columns sized matrix. Every entry will be 0
|
| ComplexMatrix(array<Complex,2>[,](,)[,]) |
Construct a matrix based on the specified cells
|
| ComplexMatrix(Int32) |
Construct an identity matrix or size IdentitySize. The Identity matrix created
is IdentitySize x IdentitySize in size. Along the diagonal is 1, all other
entries are 0.
|
  | Addition(ComplexMatrix, ComplexMatrix) |
Perform addition between two matrices of equal size
|
| Ajoint()()() |
Get the Ajoint (Hermitian conjugate) of this matrix. This is typically
notated by A^(Cross)
|
 | caCells |
The individual cells of the matrix
|
| ClearAllCells()()() |
Clear all the cells in the matrix to (0 + 0i)
|
| Clone()()() |
Returns a deep copy of this matrix, so the original can be modified without affecting
the copy. (As would happen in copy by reference.)
|
| ConjugateTranspose()()() |
Return the conjugate transpose of this matrix. This is typically written A^H, although
sometimes A^* is used.
|
| CopyFrom(ComplexMatrix) |
Set this instance to a deep copy of Source. (Clone returns a deep copy of this object, while
CopyFrom sets this object to a deep copy.
|
| CreateIdentityMatrix(Int32) |
Get the identity matrix (square matrix) of the specified Length. Hence
the returned matrix is a Length x Length matrix with 1's along the diagonal.
|
| Equality(ComplexMatrix, Int32) |
Equality operator for a complex matrix and an int.
|
| Equality(ComplexMatrix, Double) |
Equality operator for a ComplexMatrix and a double.
|
| Equality(ComplexMatrix, ComplexMatrix) |
Equality operator for two ComplexMatrix instances
|
| Equality(ComplexMatrix, Complex) |
Equality operator to a ComplexMatrix and a complex
|
| Equals(ComplexMatrix) |
Are two matrices equal?
|
| Equals(Object) |
Handle equality against any object.
(Overrides Object.Equals(Object).) |
| Equals(Int32) |
A complex matrix can only be equal to an int if it is a 1 x 1 matrix of the same
value of an int. This allows for multiplication to easily be checked out as in:
[3]
[7 -4 5][2] = 8
[1]
|
| Equals(Double) |
A complex matrix can only be equal to a double if it is a 1 x 1 matrix of the same
value of a double. This allows for multiplication to easily be checked out as in:
[3]
[7 -4 5][2] = 8
[1]
|
| Equals(Complex) |
A complex matrix can only be equal to a complex if it is a 1 x 1 matrix of the same
value of a double. This allows for multiplication to easily be checked out as in:
[(3 + 0i)]
[(7 + 0i) (-4 + 0i) (5 + 0i)][(2 + 0i)] = (8 + 0i)
[(1 + 0i)]
|
 | Finalize()()() | Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection. (Inherited from Object.) |
| GetHashCode()()() |
Override obtaining the hash code for the object.
(Overrides Object.GetHashCode()()().) |
| GetNumberOfColumns()()() |
Return the number of columns in the matrix
|
| GetNumberOfRows()()() |
Return the number of rows in the matrix
|
| GetType()()() | Gets the Type of the current instance. (Inherited from Object.) |
| GetValue(Int64, Int64) |
Return the value of a specific cell in the matrix
|
| HermitianConjugate()()() |
Get the Hermitian conjugate (adjoint) of this matrix. This is typically
notated by A^(Cross)
|
| Implicit(Int32) |
Allow an implict cast from int to a 1 x 1 matrix with the single element being Value.
|
| Implicit(Double) |
Allow an implict cast from double to a 1 x 1 matrix with the single element being Value.
|
| Implicit(Complex) |
Allow an implict cast from complex to a 1 x 1 matrix with the single element being Value.
|
| Inequality(ComplexMatrix, Int32) |
Inequality operator for a ComplexMatrix and an int.
|
| Inequality(ComplexMatrix, Double) |
Inequality operator for a ComplexMatrix and a double.
|
| Inequality(ComplexMatrix, ComplexMatrix) |
Inequality operator for two ComplexMatrix instances
|
| Inequality(ComplexMatrix, Complex) |
Inequality operator to a ComplexMatrix and a Complex.
|
| Inverse()()() |
Transform this matrix into its inverse. The inverse of matrix A is typically
written A^-1.
|
| IsHermitian()()() |
Is this matrix Hermitian? In other words, does A^H = A?
|
| IsIdentity()()() |
Is this matrix an identity matrix?
|
| IsInverse(ComplexMatrix) |
Is Compare the inverse of this matrix?
|
| IsInvertible()()() |
Is this matrix invertible?
|
| IsNormal()()() |
Is this matrix normal? A matrix is normal if (A)(A^H) == (A^H)(A)
|
| IsSkewHermitian()()() |
Is this matrix skew Hermitian? In other words, does A^H = -A
|
| IsSkewSymmetric()()() |
Is this matrix skew symmetric? In other words, does A^T = -A?
|
| IsSquare()()() |
Is this matrix square? That is, does it have the same number of rows and columns?
|
| IsSymmetric()()() |
Is this matrix symmetric? In other words, does A^T = A?
|
| IsUnitary()()() |
Is this matrix unitary? A matrix is unitary if (A^H)(A^-1) = (A^-1)(A^H) = I, or
if A^H = A^-1.
|
| MemberwiseClone()()() | Creates a shallow copy of the current Object. (Inherited from Object.) |
| Multiply(ComplexMatrix, ComplexMatrix) |
Perform matrix multiplication
|
| Multiply(Double, ComplexMatrix) |
Multiple a matrix by the given value
|
| MultiplyAsLeftSide(ComplexMatrix) |
Perform multiplication where this matrix is considered the left side and
RightSide is considered the right. This matrix is replaced with the result, so
after performing x.MultipleAsLeftSide(y), x = x * y.
|
| MultiplyAsRightSide(ComplexMatrix) |
Perform multiplication where this matrix is considered the right side and
LeftSide is considered the left. This matrix is replaced with the result, so
after performing x.MultipleAsRightSide(y), x = y * x.
|
 | NOT_IMPLEMENTED_EXCEPTION_MESSAGE |
The message in the NotImplemented exception thrown for methods that are not
yet implemented.
|
| RaiseToPower(Int32) |
Raise this matrix to the specified power. To the power of 0 return an identity matrix
of the same size. To the power of 1 leaves the matrix unaltered. Any higher number is
the matrix times itself Power times.
|
| Set(array<Complex,2>[,](,)[,]) |
Set this matrix based on cells, may change size of the matrix. Note that these
values are deep copied into the matrix.
|
| SetValue(Int64, Int64, Complex) |
Set the value of a specific cell in the matrix
|
| Subtraction(ComplexMatrix, ComplexMatrix) |
Perform subtraction between two matrices
|
| Tensor(ComplexMatrix) |
Get the tensor product of this matrix and another matrix. If this matrix is an m x n
matrix and RightHandSide is a p x q matrix then the resulting matrix is a mp x nq
matrix.
|
| TensorAsRightHandSide(ComplexMatrix) |
Get the tensor product of this matrix and another matrix. If this matrix is an m x n
matrix and RightHandSide is a p x q matrix then the resulting matrix is a mp x nq
matrix.
|
| TensorSelf(Int32) |
Tensor this matrix with itself NumberOfTimes times.
|
| ToString()()() |
Get the string representation of this matrix. Given matrix
[a b c]
[d e f]
the string returned will be [ [a b c] [d e f] ]
(Overrides Object.ToString()()().) |
| ToString(Boolean) |
String representation of the matrix- possibly with new lines
|
| Transpose()()() |
Transpose this matrix. This means that the columns are written as rows while
preserving order.
|
Inheritance Hierarchy| Object | |
 | ComplexMatrix |