Represents a Matrix that is symmetrical about the main diagonal.
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics)
Version: 2.1.7017.0
Syntax
| Visual Basic (Declaration) |
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<SerializableAttribute> _ Public NotInheritable Class SymmetricMatrix _ Inherits Matrix _ Implements ISerializable, IDoubleStorage |
| C# |
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[SerializableAttribute] public sealed class SymmetricMatrix : Matrix, ISerializable, IDoubleStorage |
| Visual C++ |
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[SerializableAttribute] public ref class SymmetricMatrix sealed : public Matrix, ISerializable, IDoubleStorage |
Remarks
Use the SymmetricMatrix class to represent dense matrices whose
elements are symmetrical about the main diagonal. Symmetric matrices are
always square.
The components of a SymmetricMatrix are stored in a one-dimensional array of Double values. Thanks to the symmetry, only the upper or lower-triangular portion needs to be stored.
Symmetric matrices can be constructed from scratch, or they can be derived or extracted from the upper or lower triangular portion of a GeneralMatrix using one of the Extract(GeneralMatrix, Int32, Int32, Int32, MatrixTriangleMode, Boolean) methods.
The SymmetricMatrix class implements algorithms using the symmetric matrix BLAS and LAPACK routines. Symmetric matrices are always stored in column-major order.
Inheritance Hierarchy
System.Object
Extreme.Mathematics.LinearAlgebra.LinearTransformation
Extreme.Mathematics.LinearAlgebra.Matrix
Extreme.Mathematics.LinearAlgebra.SymmetricMatrix
Extreme.Mathematics.LinearAlgebra.LinearTransformation
Extreme.Mathematics.LinearAlgebra.Matrix
Extreme.Mathematics.LinearAlgebra.SymmetricMatrix