Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET

  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.Distributed.Cuda
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.FSharp
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.Generic.LinearAlgebra
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers
    • Extreme.Mathematics.Generic.SignalProcessing
    • Extreme.Mathematics.Implementation
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Complex
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IO
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.LinearAlgebra.Providers
    • Extreme.Mathematics.LinearAlgebra.Sparse
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.Genetic
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Numerics.FSharp
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.IO
    • Extreme.Statistics.Linq
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Random
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayAttributes Structure
    • ArrayMath Class
    • ArrayMutability Enumeration
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • CategoricalVector(T) Class
    • Complex(T) Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • CoreImplementations Class
    • CoreImplementations(T) Class
    • CoreProvider Class
    • CoreProvider(T) Class
    • DecimalMath Class
    • Dimension Enumeration
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DistributedDataLocation Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • ElementType(T) Class
    • EquationSolving Class
    • FunctionMath Class
    • GenericCoreProvider(T) Class
    • GenericImplementations Class
    • ICategoricalVector Interface
    • IDistributed Interface
    • InsufficientDataException Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • ISummarizable Interface
    • Iterators Class
    • IVector Interface
    • MachineConstants Class
    • ManagedCoreProvider Class
    • ManagedCoreProviderOfSingle Class
    • Math(T) Class
    • Matrix Class
    • Matrix(T) Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixExtensions Class
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixStructure Enumeration
    • MatrixTriangle Enumeration
    • MutabilityBehaviour Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • NumericsConfiguration Class
    • Operations(T) Class
    • Permutation Class
    • Quad Structure
    • RandomExtensions Class
    • Range Structure
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleConstants Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SinglePrecisionImplementations Class
    • SingleVector Class
    • SingleVectorFiller Delegate
    • Slice Structure
    • SolutionReport(T) Class
    • SolutionReport(T, TError) Class
    • Special Class
    • SummaryOptions Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • TypedVectorWrapper(K, T) Structure
    • Vector Class
    • Vector(T) Class
    • VectorExtensions Class
  • ComplexMatrix Class
    • ComplexMatrix Constructors
    • Properties
    • Methods
    • Operators
  • Methods
    • Add Method Overloads
    • AddProductToVector Method
    • AsDenseMatrix Method
    • Clone Method
    • CloneData Method
    • ComponentwiseDivide Method Overloads
    • ComponentwiseMultiply Method Overloads
    • Conjugate Method
    • ConjugateTranspose Method
    • CopyTo Method
    • Create Method Overloads
    • CreateConstant Method
    • CreateDiagonal Method Overloads
    • CreateHermitian Method Overloads
    • CreateLowerTriangular Method Overloads
    • CreateUpperTriangular Method Overloads
    • ElementwiseDivide Method
    • ElementwiseDivideInPlace Method
    • ElementwiseMultiply Method
    • ElementwiseMultiplyInPlace Method
    • Equals Method Overloads
    • EstimateConditionNumber Method
    • FrobeniusNorm Method
    • GetCholeskyDecomposition Method Overloads
    • GetColumn Method Overloads
    • GetColumnEnumerator Method
    • GetComponents Method Overloads
    • GetConditionNumber Method
    • GetDeterminant Method
    • GetDiagonal Method Overloads
    • GetEigenvalueDecomposition Method Overloads
    • GetHashCode Method Overloads
    • GetImaginaryPart Method
    • GetInverse Method Overloads
    • GetLUDecomposition Method Overloads
    • GetObjectData Method
    • GetQRDecomposition Method Overloads
    • GetRealPart Method
    • GetRow Method Overloads
    • GetRowEnumerator Method
    • GetSingularValueDecomposition Method Overloads
    • GetSingularValues Method
    • GetSubmatrix Method Overloads
    • GetValue Method
    • InfinityNorm Method
    • IsComponentWritable Method
    • IsElementWritable Method
    • IsSingular Method
    • Multiply Method Overloads
    • MultiplyTranspose Method Overloads
    • OneNorm Method
    • PermuteColumns Method
    • PermuteRows Method
    • PermuteRowsAndColumns Method Overloads
    • Rank Method Overloads
    • ScaleColumns Method
    • ScaleRows Method
    • SetToZero Method
    • SetValue Method Overloads
    • ShallowCopy Method
    • Solve Method Overloads
    • SolveTranspose Method Overloads
    • Subtract Method
    • SwapColumns Method
    • SwapRows Method
    • ToArray Method Overloads
    • ToDenseMatrix Method
    • ToGeneralMatrix Method
    • ToString Method Overloads
    • Trace Method
    • Transpose Method
    • UnscaleColumns Method
    • UnscaleRows Method
  • SolveTranspose Method Overloads
    • SolveTranspose Method (ComplexDenseMatrix, Boolean)
    • SolveTranspose Method (ComplexDenseVector, Boolean)
  • SolveTranspose Method (ComplexDenseMatrix, Boolean)
ComplexMatrixSolveTranspose Method (ComplexDenseMatrix, Boolean)Extreme Optimization Numerical Libraries for .NET Professional
Solves the transposed system of linear equations for the specified right-hand side ComplexDenseMatrix and optionally overwrites the right-hand side with the solution.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
Copy
public override ComplexDenseMatrix SolveTranspose(
	ComplexDenseMatrix rightHandSide,
	bool overwrite
)
Public Overrides Function SolveTranspose ( 
	rightHandSide As ComplexDenseMatrix,
	overwrite As Boolean
) As ComplexDenseMatrix
public:
virtual ComplexDenseMatrix^ SolveTranspose(
	ComplexDenseMatrix^ rightHandSide, 
	bool overwrite
) override
abstract SolveTranspose : 
        rightHandSide : ComplexDenseMatrix * 
        overwrite : bool -> ComplexDenseMatrix 
override SolveTranspose : 
        rightHandSide : ComplexDenseMatrix * 
        overwrite : bool -> ComplexDenseMatrix 

Parameters

rightHandSide
Type: Extreme.Mathematics.LinearAlgebra.ComplexComplexDenseMatrix
A ComplexDenseMatrix.
overwrite
Type: SystemBoolean
If , a new ComplexDenseMatrix instance containing the solution to the system of equations is returned. (This is the default.) If , the matrix rightHandSide is overwritten by the solution.

Return Value

Type: ComplexDenseMatrix
A ComplexDenseMatrix containing the solution of the system of simultaneous linear equations.
Exceptions

ExceptionCondition
ArgumentNullExceptionrightHandSide is .
DimensionMismatchExceptionThe number of rows of rightHandSide does not equal the number of rows of the matrix underlying this system of equations.
MatrixSingularExceptionThe ComplexMatrix underlying this system of equations is singular and does not have an inverse.
DimensionMismatchExceptionThe ComplexMatrix underlying this system of equations is not square.
Remarks

Note that the first parameter must be a ComplexDenseMatrix. This is because this is the only matrix type whose elements are guaranteed to be all writeable.

Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

ComplexMatrix Class
SolveTranspose Overload
Extreme.Mathematics Namespace

Copyright (c) 2004-2016 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2018, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.