Represents a general, dense, square or rectangular ComplexMatrix.
Namespace: Extreme.Mathematics.LinearAlgebra.Complex
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Class ComplexGeneralMatrix _ Inherits ComplexMatrix _ Implements ISerializable |
| C# |
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public class ComplexGeneralMatrix : ComplexMatrix, ISerializable |
| C++ |
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public ref class ComplexGeneralMatrix : public ComplexMatrix, ISerializable |
Methods
| Icon | Type | Description |
|---|---|---|
 | Add(ComplexMatrix) |
Adds a ComplexMatrix to this
ComplexGeneralMatrix.
|
| Add(DoubleComplex, ComplexMatrix) |
Adds a multiple of a ComplexMatrix to this
ComplexGeneralMatrix.
|
 | Add(ComplexGeneralMatrix, ComplexGeneralMatrix) |
Adds two ComplexGeneralMatrix objects and returns the result.
|
| Add(ComplexGeneralMatrix, DoubleComplex, ComplexGeneralMatrix, ComplexGeneralMatrix) |
Adds two ComplexGeneralMatrix objects and stores the
result in a third ComplexGeneralMatrix.
|
| Add(TransposeOperation, TransposeOperation, DoubleComplex, ComplexMatrix) |
Adds a multiple of a ComplexMatrix to this ComplexMatrix and returns
the result.
|
| AddConjugateOuterProduct(ComplexVector) |
Updates a matrix with the outer product of a
ComplexVector and its conjugate.
|
| AddConjugateOuterProduct(DoubleComplex, ComplexVector) |
Updates a matrix with the scaled outer product of a
ComplexVector and its conjugate.
|
| AddOuterProduct(ComplexVector) |
Updates a matrix with the outer product of a
ComplexVector and itself.
|
| AddOuterProduct(DoubleComplex, ComplexVector, ComplexVector) |
Updates a matrix with the scaled outer product of two vectors.
|
| AddOuterProduct(DoubleComplex, ComplexVector) |
Updates a matrix with the scaled outer product of
a ComplexVector and itself.
|
| AddProduct(ComplexGeneralMatrix, ComplexGeneralMatrix) |
Adds the product of two ComplexGeneralMatrix objects
to this ComplexGeneralMatrix.
|
| AddProduct(DoubleComplex, ComplexGeneralMatrix, ComplexGeneralMatrix) |
Adds a multiple of the product of two ComplexGeneralMatrix object
to this ComplexGeneralMatrix.
|
| AddProductToVector(DoubleComplex, ComplexVector, TransposeOperation, DoubleComplex, ComplexGeneralVector) | |
| Clone() |
Constructs a deep copy of this ComplexMatrix.
|
| CloneData() |
Gives this instance its own copy of its elements.
|
| CloneData(MatrixElementOrder) |
Gives this instance its own copy of its elements.
|
| Conjugate() |
Returns the conjugate transpose of this instance.
|
| ConjugateTranspose() |
Returns the conjugate transpose of this instance.
|
| CopyTo(ComplexMatrix) |
Copies the components of this ComplexMatrix
to another matrix.
|
| Equals(Object) |
Determines whether the specified Object
is equal to the current ComplexMatrix.
|
| EstimateConditionNumber() |
Calculates an estimate for the condition
number of this ComplexMatrix.
|
 | Finalize() | |
| FrobeniusNorm() |
Returns the Frobenius norm of this ComplexMatrix.
|
| GetColumn(Int32, Int32, Int32, Int32) |
Returns a column ComplexVector for this instance
starting at the specified column and row and of the
specified length.
|
| GetColumn(Int32) |
Returns a column ComplexVector for this instance
that points at the specified column.
|
| GetColumn(Int32, Int32, Int32) |
Returns a column ComplexVector for this instance
starting at the specified column and row and of the
specified length.
|
| GetColumn(Int32, Range) |
Returns a column ComplexVector for this instance
starting at the specified column and row and of the
specified length.
|
| GetColumnEnumerator() |
Gets an IEnumerator than can be used to enumerate
the columns of this ComplexGeneralMatrix.
|
| GetComponents() |
Gets the components of the ComplexVector.
|
| GetComponents(MatrixElementOrder) |
Gets the components of the ComplexVector.
|
| GetDeterminant() |
Calculates the determinant of this ComplexMatrix.
|
| GetDiagonal(Int32) |
Gets a ComplexVector view of the specified diagonal
of this instance.
|
| GetHashCode() |
Returns the hash code for this instance.
|
| GetIdentity(Int32) |
Returns an identity matrix of the specified dimension.
|
| GetImaginaryPart() |
Returns a real matrix containing the imaginary components of the matrix.
|
| GetInverse() |
Calculates the inverse of this ComplexMatrix.
|
| GetObjectData(SerializationInfo, StreamingContext) |
Populates a SerializationInfo with the data
needed to serialize the target object.
|
| GetRealPart() |
Returns a real matrix containing the real components of the matrix.
|
| GetRow(Int32, Int32, Int32, Int32) |
Returns a row ComplexVector for this instance
starting at the specified row and column and of the
specified length.
|
| GetRow(Int32) |
Returns a row ComplexVector for this instance
that points at the specified row.
|
| GetRow(Int32, Int32, Int32) |
Returns a row ComplexVector for this instance
over the specified range.
|
| GetRow(Int32, Range) |
Returns a row ComplexVector for this instance
starting at the specified row and column and of the
specified length.
|
| GetRowEnumerator() |
Constructs an IEnumerator object that can be used
to enumerate the rows of this ComplexGeneralMatrix.
|
| GetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation) |
Gets a ComplexGeneralMatrix that is a submatrix of
this matrix.
|
| GetSubmatrix(Range, Range, TransposeOperation) |
Gets a ComplexMatrix that is a submatrix of
this ComplexMatrix.
|
| GetSubmatrix(Range, Range) |
Gets a ComplexMatrix that is a submatrix of
this ComplexMatrix.
|
| GetSubmatrix(Int32, Int32, Int32, Int32) |
Gets a ComplexMatrix that is a submatrix of
this ComplexMatrix.
|
| GetType() | Gets the Type of the current instance. |
| GetValue(Int32, Int32) |
Gets the matrix component at the specified position.
|
| InfinityNorm() |
Returns the infinity norm of this ComplexMatrix.
|
| IsComponentWritable(Int32, Int32) |
Gets a value indicating whether the value of the component at
the specified row and column can be changed.
|
| IsSingular() |
Gets a value indicating whether this matrix is singular.
|
| MemberwiseClone() | Creates a shallow copy of the current Object. |
| Multiply(ComplexMatrix) |
Multiplies this ComplexGeneralMatrix on the right by a
ComplexMatrix.
|
| Multiply(MatrixOperationSide, TransposeOperation, TransposeOperation, ComplexMatrix) |
Multiplies this ComplexMatrix by another matrix and returns
the result.
|
| Multiply(ComplexGeneralMatrix, ComplexGeneralMatrix) |
Multiplies two ComplexMatrix objects.
|
| Multiply(ComplexGeneralMatrix, ComplexGeneralMatrix, ComplexGeneralMatrix) |
Multiplies two ComplexGeneralMatrix objects and stores
the result in a third ComplexGeneralMatrix.
|
| MultiplyByConjugateTranspose() |
Multiplies this ComplexGeneralMatrix by its
Transpose().
|
| OneNorm() |
Returns the 1-norm of this ComplexMatrix.
|
| PreMultiply(ComplexMatrix) |
Multiplies this ComplexGeneralMatrix on the left by a
ComplexMatrix.
|
| Rank(Double) |
Returns the numerical rank of a matrix using the specified tolerance.
|
| SetValue(DoubleComplex, Int32, Int32) |
Sets the matrix component at the specified position to the specified value.
|
| ShallowCopy() |
Makes a shallow copy of this ComplexMatrix.
|
| Solve(ComplexGeneralVector, Boolean) |
Solves the system of simultaneous linear equations for the specified
right-hand side ComplexVector.
|
| Solve(ComplexGeneralMatrix, Boolean) |
Solves the system of simultaneous linear equations for the specified
right-hand side ComplexGeneralMatrix and overwrites the
right-hand side with the solution.
|
| Solve(ComplexVector) |
Solves the system of linear equations for the specified
right-hand side ComplexVector.
|
| Solve(ComplexMatrix) |
Solves the system of linear equations for the specified
right-hand side ComplexMatrix.
|
| Subtract(ComplexGeneralMatrix, ComplexGeneralMatrix) |
Subtracts two ComplexGeneralMatrix objects.
|
| Subtract(ComplexGeneralMatrix, ComplexGeneralMatrix, ComplexGeneralMatrix) |
Subtracts two ComplexGeneralMatrix objects and stores the
result in a third ComplexGeneralMatrix.
|
| SubtractProduct(ComplexGeneralMatrix, ComplexGeneralMatrix) |
Subtracts the product of two ComplexGeneralMatrix object
to this ComplexGeneralMatrix.
|
| ToGeneralMatrix() |
Makes a copy of this instance and returns it as a
ComplexGeneralMatrix.
|
| ToString() |
Returns a String representation of this
ComplexMatrix.
|
| ToString(String) |
Returns a String representation of this
ComplexMatrix.
|
| ToString(String, IFormatProvider) |
Returns a String representation of this
ComplexMatrix.
|
| Trace() |
Gets the sum of the diagonal elements of this
ComplexMatrix.
|
| Transpose() |
Returns the transpose of this instance.
|
Constructors
| Icon | Type | Description |
|---|---|---|
| ComplexGeneralMatrixNew(Int32, Int32) |
Constructs a new ComplexGeneralMatrix with the specified
number of rows and columns
|
| ComplexGeneralMatrixNew(Int32, Int32, MatrixElementOrder) |
Constructs a new ComplexGeneralMatrix with the specified
number of rows and columns
|
| ComplexGeneralMatrixNew(DoubleComplex[,,,,,](,,,,,)) |
Constructs a new ComplexGeneralMatrix from a
two-dimensional array.
|
| ComplexGeneralMatrixNew(SerializationInfo, StreamingContext) |
Constructs a new ComplexGeneralMatrix from serialization
data.
|
| ComplexGeneralMatrixNew(Int32, Int32, DoubleComplex[]()) |
Constructs a new ComplexGeneralMatrix of the specified
dimensions using the specified data array.
|
| ComplexGeneralMatrixNew(Int32, Int32, DoubleComplex[](), Boolean) |
Constructs a new ComplexGeneralMatrix of the specified
dimensions using the specified data array.
|
| ComplexGeneralMatrixNew(Int32, Int32, DoubleComplex[](), MatrixElementOrder) |
Constructs a new ComplexGeneralMatrix of the specified
dimensions using the specified data array.
|
| ComplexGeneralMatrixNew(Int32, Int32, DoubleComplex[](), MatrixElementOrder, Boolean) |
Constructs a new ComplexGeneralMatrix of the specified
dimensions using the specified data array.
|
Properties
| Icon | Type | Description |
|---|---|---|
 | ColumnCount |
Gets the number of columns in the ComplexMatrix.
|
| Columns |
Gets the ComplexColumnCollection for this instance.
|
| ElementOrder |
Gets a value indicating the order in which the matrix
elements are stored.
|
| Item(Int32, Int32) |
Gets or sets the specified element in this
ComplexMatrix.
|
| Item(Int32, Range) |
Gets or sets the components of a row of this ComplexMatrix.
|
| Item(Range, Range) |
Gets or sets the components of a submatrix of this ComplexMatrix.
|
| Item(Range, Int32) |
Gets or sets the components of a column of this ComplexMatrix.
|
| RowCount |
Gets the number of rows in the ComplexMatrix.
|
| Rows |
Gets the ComplexRowCollection for this instance.
|
Remarks
A matrix is a two-dimensional array of real numbers. Use the
ComplexGeneralMatrix class to represent general, dense matrices.
It is the most general implementation of the ComplexMatrix class.
No components are assumed to have a specific value, and no relationship is
assumed to exist between different components.
The components of a ComplexGeneralMatrix are stored in a one-dimensional array of DoubleComplex values. By default, components that are adjacent in a column of the matrix are adjacent in the storage array. The components are said to be stored in column major order. It is also possible to have elements stored in row major order.
The ComplexGeneralMatrix class implements algorithms using the general matrix BLAS and LAPACK routines. These routines assume matrix components are stored in column major order. However, any necessary conversions are performed transparantly. No additional work is needed. In some cases there might be a small performance penalty.
Because ComplexGeneralMatrix can represent any matrix, it is often used as the return type of matrix operations.
Inheritance Hierarchy
System.Object
Extreme.Mathematics.LinearAlgebra.Complex.ComplexLinearTransformation
Extreme.Mathematics.LinearAlgebra.Complex.ComplexMatrix
Extreme.Mathematics.LinearAlgebra.Complex.ComplexGeneralMatrix
Extreme.Mathematics.LinearAlgebra.Complex.ComplexLinearTransformation
Extreme.Mathematics.LinearAlgebra.Complex.ComplexMatrix
Extreme.Mathematics.LinearAlgebra.Complex.ComplexGeneralMatrix
See Also
