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    • Extreme.Collections Namespace
    • Extreme.Mathematics Namespace
    • Extreme.Mathematics.Algorithms Namespace
    • Extreme.Mathematics.Calculus Namespace
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations Namespace
    • Extreme.Mathematics.Curves Namespace
    • Extreme.Mathematics.Curves.Nonlinear Namespace
    • Extreme.Mathematics.EquationSolvers Namespace
    • Extreme.Mathematics.Generic Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation Namespace
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.Implementation Namespace
    • Extreme.Mathematics.LinearAlgebra Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions Namespace
    • Extreme.Mathematics.LinearAlgebra.Implementation Namespace
    • Extreme.Mathematics.LinearAlgebra.IO Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers Namespace
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners Namespace
    • Extreme.Mathematics.LinearAlgebra.Providers Namespace
    • Extreme.Mathematics.LinearAlgebra.Sparse Namespace
    • Extreme.Mathematics.Optimization Namespace
    • Extreme.Mathematics.Optimization.LinearProgramming Namespace
    • Extreme.Mathematics.Optimization.LineSearches Namespace
    • Extreme.Mathematics.SignalProcessing Namespace
    • Extreme.Mathematics.SpecialFunctions Namespace
    • Extreme.Statistics Namespace
    • Extreme.Statistics.Distributions Namespace
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  • Extreme.Mathematics.LinearAlgebra Namespace
    • BandCholeskyDecomposition Class
    • BandLUDecomposition Class
    • BandMatrix Class
    • BandVector Class
    • BandVector.BandVectorEnumerator Structure
    • CholeskyDecomposition Class
    • CloningMethod Enumeration
    • ColumnCollection Structure
    • ComplexEigenvalueDecomposition Class
    • ComponentReadOnlyException Class
    • ConstantMatrix Class
    • ConstantVector Class
    • Decomposition Class
    • DenseMatrix Class
    • DenseVector Class
    • DiagonalMatrix Class
    • EigenvalueDecomposition Class
    • GeneralMatrix Class
    • GeneralVector Class
    • HermitianEigenvalueDecomposition Class
    • IDoubleStorage Interface
    • ILeastSquaresSolver Interface
    • IndexedVector Class
    • IndexValuePair Structure
    • IResizableMatrix Interface
    • ISingleLeastSquaresSolver Interface
    • ISingleResizableMatrix Interface
    • ISingleStorage Interface
    • Kernel Class
    • LeastSquaresSolutionMethod Enumeration
    • LeastSquaresSolver Class
    • LinearOperator Class
    • LinearTransformation Class
    • LUDecomposition Class
    • MatrixDiagonalMode Enumeration
    • MatrixElementOrder Enumeration
    • MatrixNorm Enumeration
    • MatrixNotPositiveDefiniteException Class
    • MatrixOperationSide Enumeration
    • MatrixSingularException Class
    • MatrixStructure Enumeration
    • MatrixTriangleMode Enumeration
    • MatrixView Class
    • NonHermitianEigenvalueDecomposition Class
    • NonNegativeMatrixFactorization Class
    • NonsymmetricEigenvalueDecomposition Class
    • PermutationMatrix Class
    • PivotVector Structure
    • QRDecomposition Class
    • Range Structure
    • RowCollection Structure
    • RowColumnValueTriplet Structure
    • SingleBandCholeskyDecomposition Class
    • SingleBandLUDecomposition Class
    • SingleBandMatrix Class
    • SingleBandVector Class
    • SingleBandVector.BandVectorEnumerator Structure
    • SingleCholeskyDecomposition Class
    • SingleColumnCollection Structure
    • SingleConstantMatrix Class
    • SingleConstantVector Class
    • SingleDecomposition Class
    • SingleDenseMatrix Class
    • SingleDenseVector Class
    • SingleDiagonalMatrix Class
    • SingleEigenvalueDecomposition Class
    • SingleIndexedVector Class
    • SingleIndexValuePair Structure
    • SingleKernel Class
    • SingleLeastSquaresSolver Class
    • SingleLinearTransformation Class
    • SingleLUDecomposition Class
    • SingleMatrixView Class
    • SinglePermutationMatrix Class
    • SingleQRDecomposition Class
    • SingleRowCollection Structure
    • SingleRowColumnValueTriplet Structure
    • SingleSingularValueDecomposition Class
    • SingleSparseLUDecomposition Class
    • SingleSparseMatrix Class
    • SingleSparseVector Class
    • SingleSymmetricEigenvalueDecomposition Class
    • SingleSymmetricMatrix Class
    • SingleTriangularMatrix Class
    • SingularValueDecomposition Class
    • SingularValueDecompositionFactors Enumeration
    • SparseCompressedColumnMatrix Class
    • SparseMatrix Class
    • SparseVector Class
    • SymmetricEigenvalueDecomposition Class
    • SymmetricIndefiniteDecomposition Class
    • SymmetricMatrix Class
    • TransposeOperation Enumeration
    • TriangularMatrix Class
  • LinearTransformation Class
    • Members
    • LinearTransformation Constructors
    • Methods
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LinearTransformation Class

Members See Also 
Defines methods for the solution of a system of simultaneous linear equations and related operations.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net20 (in Extreme.Numerics.Net20.dll) Version: 3.6.10055.0 (3.6.12354.0)

Syntax

C#
[SerializableAttribute]
public abstract class LinearTransformation
Visual Basic
<SerializableAttribute>
Public MustInherit Class LinearTransformation
Visual C++
[SerializableAttribute]
public ref class LinearTransformation abstract
F#
[<AbstractClassAttribute>]
[<SerializableAttribute>]
type LinearTransformation =  class end

Remarks

LinearTransformation is implemented by all Matrix classes and all classes that represent matrix decompositions.

The solution of a system of simultaneous linear equations represented by a Matrix is one of the most common tasks in linear algebra. The Solve(Vector) mechanism, which is overloaded, defines a common method for all classes that can represent matrices. This not only includes the Matrix class and its descendants, but also the Decomposition class and its descendants.

LinearTransformation also defines operations that are related to solving systems of equations, such as calculating the matrix GetInverse()()()(), the GetDeterminant()()()() and an estimate for the EstimateConditionNumber()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra..::..LinearTransformation
    Extreme.Mathematics.LinearAlgebra..::..Decomposition
    Extreme.Mathematics..::..Matrix

Version Information

Numerical Libraries

Supported in: 3.6

See Also

LinearTransformation Members
Extreme.Mathematics.LinearAlgebra Namespace
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