IG::Num::ILinearSolver Interface Reference

Classes that can be used for solution of linear systems of equations. This interface is mainly used for matrix dexompositions. More...

Inheritance diagram for IG::Num::ILinearSolver:

Collaboration diagram for IG::Num::ILinearSolver:

List of all members.

Public Member Functions
void	GetProduct (ref IMatrix product)
	Calculates the product (i.e. the original matrix of coefficients of a linear system of equations) of the current decomposition, and stores it to the specified matrix.
IMatrix	GetProduct ()
	Calculates and returns the product (i.e. the original matrix of coefficients of a linear system of equations) of the current decomposition.
void	Inverse (ref IMatrix inv)
	Calculates inverse of the decomposed matrix represented by the current object, and stores it in the specified matrix.
IMatrix	Inverse ()
	Calculates and returns inverse of the decomposed matrix represented by the current object.
void	Solve (IMatrix B, ref IMatrix X)
	Solves A*X = B (a set of linear systems of equations), where B is the matrix whose colums are right-hand sides of equations to be solved. Solutions are stored to the specified matrix. Decomposed matrix of coefficients A is represented by the current object.
IMatrix	Solve (IMatrix B)
	Solves A*X = B (a set of linear systems of equations), where B is the matrix whose colums are right-hand sides of equations to be solved, and returns a matrix whose columns are solutions of the specified systems of equations. Decomposed matrix of coefficients A is represented by the current object.
void	Solve (IVector b, ref IVector x)
	Solves a system of linear equations A*x=b, and stores the solution in the specified vector. Decomposed matrix of coefficients A is represented by the current object.
IVector	Solve (IVector b)
	Solves a system of linear equations A*x=b, and returns the solution. Decomposed matrix of coefficients A is represented by the current object.
Properties
bool	IsNonSingular [get]
	Indicates whether the matrix of coefficients of a linear system represented by the current decomposition object, is nonsingular.

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Detailed Description

Classes that can be used for solution of linear systems of equations.

This interface is mainly used for matrix dexompositions.

$A Igor Apr12;

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Member Function Documentation

void IG::Num::ILinearSolver::GetProduct

(

ref IMatrix

product

)

Calculates the product (i.e. the original matrix of coefficients of a linear system of equations) of the current decomposition, and stores it to the specified matrix.

Parameters:

product

Matrix where re-calculated product of the decomposed matrix is stored.

Implemented in IG::Num::LUDecomposition, IG::Num::QRDecomposition, IG::Num::CholeskyDecomposition, IG::Num::EigenValueDecomposition, and IG::Num::SingularValueDecomposition.

IMatrix IG::Num::ILinearSolver::GetProduct

(

)

Calculates and returns the product (i.e. the original matrix of coefficients of a linear system of equations) of the current decomposition.

Implemented in IG::Num::LUDecomposition, IG::Num::QRDecomposition, IG::Num::CholeskyDecomposition, IG::Num::EigenValueDecomposition, and IG::Num::SingularValueDecomposition.

void IG::Num::ILinearSolver::Inverse

(

ref IMatrix

inv

)

Calculates inverse of the decomposed matrix represented by the current object, and stores it in the specified matrix.

Parameters:

inv	Matrix where calculated inverse is stored.

Implemented in IG::Num::LUDecomposition, IG::Num::QRDecomposition, IG::Num::CholeskyDecomposition, IG::Num::EigenValueDecomposition, and IG::Num::SingularValueDecomposition.

IMatrix IG::Num::ILinearSolver::Inverse

(

)

Calculates and returns inverse of the decomposed matrix represented by the current object.

Implemented in IG::Num::LUDecomposition, IG::Num::QRDecomposition, IG::Num::CholeskyDecomposition, IG::Num::EigenValueDecomposition, and IG::Num::SingularValueDecomposition.

void IG::Num::ILinearSolver::Solve	(	IMatrix	B,
		ref IMatrix	X
	)

Solves A*X = B (a set of linear systems of equations), where B is the matrix whose colums are right-hand sides of equations to be solved. Solutions are stored to the specified matrix. Decomposed matrix of coefficients A is represented by the current object.

Parameters:

B	A Matrix with as many rows as A and any number of columns (right-hand sides).
X	Matrix where results are stored (one column for each right-hand side).

Exceptions:

System.ArgumentException	Matrix row dimensions must agree.
System.SystemException	Matrix is singular.

IMatrix IG::Num::ILinearSolver::Solve

(

IMatrix

B

)

Solves A*X = B (a set of linear systems of equations), where B is the matrix whose colums are right-hand sides of equations to be solved, and returns a matrix whose columns are solutions of the specified systems of equations. Decomposed matrix of coefficients A is represented by the current object.

Parameters:

B	A Matrix with as many rows as A and any number of columns (right-hand sides).

Returns:

X so that L*U*X = B(piv,:)

Exceptions:

System.ArgumentException	Matrix row dimensions must agree.
System.SystemException	Matrix is singular.

void IG::Num::ILinearSolver::Solve	(	IVector	b,
		ref IVector	x
	)

Solves a system of linear equations A*x=b, and stores the solution in the specified vector. Decomposed matrix of coefficients A is represented by the current object.

Parameters:

b	Vector of right-hand sides.
x	Vector where solution is stored.

IVector IG::Num::ILinearSolver::Solve

(

IVector

b

)

Solves a system of linear equations A*x=b, and returns the solution. Decomposed matrix of coefficients A is represented by the current object.

Parameters:

b	Right-hand side vector.

Returns:

Solution of the System such that L*U*x=s(piv,:).

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Property Documentation

bool IG::Num::ILinearSolver::IsNonSingular [get]

Indicates whether the matrix of coefficients of a linear system represented by the current decomposition object, is nonsingular.

Returns:

True if the decomposed matrix represented by the current object is snonsingular, false otherwise.

Implemented in IG::Num::LUDecomposition, IG::Num::QRDecomposition, IG::Num::CholeskyDecomposition, IG::Num::EigenValueDecomposition, and IG::Num::SingularValueDecomposition.

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The documentation for this interface was generated from the following file:

• MatrixDecompositions.cs