C# Class MatrixLibrary.NMatrix

Matrix Library .Net v2.0 By Anas Abidi, 2004. The Matrix Library contains Class Matrix which provides many static methods for making various matrix operations on objects derived from the class or on arrays defined as double. The '+','-','*' operators are overloaded to work with the objects derived from the matrix class.

Show file Open project: bcourter/SpaceClaim-AddIns Class Usage Examples

Public Methods

Method	Description
Add ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix	Returns the summation of two matrices with compatible dimensions. In case of an error the error is raised as an exception.
Add ( double Mat1, double Mat2 ) : ].double[	Returns the summation of two matrices with compatible dimensions. In case of an error the error is raised as an exception.
Copy ( ) : NMatrix
CrossProduct ( NMatrix V1, NMatrix V2 ) : NMatrix	Returns the cross product of two vectors whose dimensions should be [3] or [3x1]. In case of an error the error is raised as an exception.
CrossProduct ( double V1, double V2 ) : ].double[	Returns the cross product of two vectors whose dimensions should be [3] or [3x1]. In case of an error the error is raised as an exception.
CrossProduct ( double V1, double V2 ) : double[]	Returns the cross product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.
Det ( NMatrix Mat ) : double	Returns the determinant of a matrix with [n,n] dimension. In case of an error the error is raised as an exception.
Det ( double Mat ) : double	Returns the determinant of a matrix with [n,n] dimension. In case of an error the error is raised as an exception.
DotProduct ( NMatrix V1, NMatrix V2 ) : double	Returns the dot product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.
DotProduct ( double V1, double V2 ) : double	Returns the dot product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.
Eigen ( NMatrix Mat, NMatrix &d, NMatrix &v ) : void	Returns the Eigenvalues and Eigenvectors of a real symmetric matrix, which is of dimensions [n,n]. In case of an error the error is raised as an exception. Note: This method is based on the 'Eigenvalues and Eigenvectors of a TridiagonalMatrix' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
Eigen ( double Mat, double &d, double &v ) : void	Returns the Eigenvalues and Eigenvectors of a real symmetric matrix, which is of dimensions [n,n]. In case of an error the error is raised as an exception. Note: This method is based on the 'Eigenvalues and Eigenvectors of a TridiagonalMatrix' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
Equals ( Object obj ) : bool	Tests whether the specified object is a MatrixLibrary.Matrix object and is identical to this MatrixLibrary.Matrix object.
GetColumn ( int col ) : double[]
GetHashCode ( ) : int
GetRow ( int row ) : double[]
Identity ( int n ) : ].double[	Returns an Identity matrix with dimensions [n,n] in the from of an array.
Inverse ( NMatrix Mat ) : NMatrix	Returns the inverse of a matrix with [n,n] dimension and whose determinant is not zero. In case of an error the error is raised as an exception.
Inverse ( double Mat ) : ].double[	Returns the inverse of a matrix with [n,n] dimension and whose determinant is not zero. In case of an error the error is raised as an exception.
IsEqual ( NMatrix Mat1, NMatrix Mat2 ) : bool	Checks if two matrices of equal dimensions are equal or not. In case of an error the error is raised as an exception.
IsEqual ( double Mat1, double Mat2 ) : bool	Checks if two Arrays of equal dimensions are equal or not. In case of an error the error is raised as an exception.
LU ( NMatrix Mat, NMatrix &L, NMatrix &U, NMatrix &P ) : void	Returns the LU Decomposition of a matrix. the output is: lower triangular matrix L, upper triangular matrix U, and permutation matrix P so that PX = LU. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
LU ( double Mat, double &L, double &U, double &P ) : void	Returns the LU Decomposition of a matrix. the output is: lower triangular matrix L, upper triangular matrix U, and permutation matrix P so that PX = LU. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
Multiply ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix	Returns the multiplication of two matrices with compatible dimensions OR the cross-product of two vectors. In case of an error the error is raised as an exception.
Multiply ( double Mat1, double Mat2 ) : ].double[	Returns the multiplication of two matrices with compatible dimensions. In case of an error the error is raised as an exception.
NMatrix ( double Mat ) : System	Matrix object constructor, constructs a matrix from an already defined array object.
NMatrix ( int noRows, int noCols ) : System	Matrix object constructor, constructs an empty matrix with dimensions: rows = noRows and cols = noCols.
OneD_2_TwoD ( double Mat ) : ].double[	Returns the 2D form of a 1D array. i.e. array with dimension[n] is returned as an array with dimension [n,1]. In case of an error the error is raised as an exception.
PINV ( NMatrix Mat ) : NMatrix	Returns the pseudoinverse of a matrix, such that X = PINV(A) produces a matrix 'X' of the same dimensions as A' so that AXA = A, XAX = X. In case of an error the error is raised as an exception.
PINV ( double Mat ) : ].double[	Returns the pseudoinverse of a matrix, such that X = PINV(A) produces a matrix 'X' of the same dimensions as A' so that AXA = A, XAX = X. In case of an error the error is raised as an exception.
PrintMat ( NMatrix Mat ) : string	Returns a matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.
PrintMat ( double Mat ) : string	Returns a matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.
Rank ( NMatrix Mat ) : int	Returns the rank of a matrix. In case of an error the error is raised as an exception.
Rank ( double Mat ) : int	Returns the rank of a matrix. In case of an error the error is raised as an exception.
SVD ( NMatrix Mat, NMatrix &S, NMatrix &U, NMatrix &V ) : void	Evaluates the Singular Value Decomposition of a matrix, returns the matrices S, U and V. Such that a given Matrix = U x S x V'. In case of an error the error is raised as an exception. Note: This method is based on the 'Singular Value Decomposition' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
SVD ( double Mat_, double &S_, double &U_, double &V_ ) : void	Evaluates the Singular Value Decomposition of a matrix, returns the matrices S, U and V. Such that a given Matrix = U x S x V'. In case of an error the error is raised as an exception. Note: This method is based on the 'Singular Value Decomposition' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
ScalarDivide ( double Value, NMatrix Mat ) : NMatrix	Returns the division of a matrix or a vector (i.e dimension [3,1]) by a scalar quantity. In case of an error the error is raised as an exception.
ScalarDivide ( double Value, double Mat ) : ].double[	Returns the division of a matrix or a vector (i.e dimension [3,1]) by a scalar quantity. In case of an error the error is raised as an exception.
ScalarMultiply ( double Value, NMatrix Mat ) : NMatrix	Returns the multiplication of a matrix or a vector (i.e dimension [3,1]) with a scalar quantity. In case of an error the error is raised as an exception.
ScalarMultiply ( double Value, double Mat ) : ].double[	Returns the multiplication of a matrix or a vector (i.e dimension [3,1]) with a scalar quantity. In case of an error the error is raised as an exception.
SolveLinear ( NMatrix MatA, NMatrix MatB ) : NMatrix	Solves a set of n linear equations A.X = B, and returns X, where A is [n,n] and B is [n,1]. In the same manner if you need to compute: inverse(A).B, it is better to use this method instead, as it is much faster. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
SolveLinear ( double MatA, double MatB ) : ].double[	Solves a set of n linear equations A.X = B, and returns X, where A is [n,n] and B is [n,1]. In the same manner if you need to compute: inverse(A).B, it is better to use this method instead, as it is much faster. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.
Subtract ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix	Returns the difference of two matrices with compatible dimensions. In case of an error the error is raised as an exception.
Subtract ( double Mat1, double Mat2 ) : ].double[	Returns the difference of two matrices with compatible dimensions. In case of an error the error is raised as an exception.
ToString ( ) : string	Returns the matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.
Transpose ( NMatrix Mat ) : NMatrix	Returns the transpose of a matrix. In case of an error the error is raised as an exception.
Transpose ( double Mat ) : ].double[	Returns the transpose of a matrix. In case of an error the error is raised as an exception.
TryGaussJordanElimination ( NMatrix a, NMatrix b, NMatrix &result ) : bool
TwoD_2_OneD ( double Mat ) : double[]	Returns the 1D form of a 2D array. i.e. array with dimension[n,1] is returned as an array with dimension [n]. In case of an error the error is raised as an exception.
VectorMagnitude ( NMatrix V ) : double	Returns the magnitude of a vector whose dimension is [3] or [3,1]. In case of an error the error is raised as an exception.
VectorMagnitude ( double V ) : double	Returns the magnitude of a vector whose dimension is [3] or [3,1]. In case of an error the error is raised as an exception.
operator ( ) : NMatrix	Returns the multiplication of two matrices with compatible dimensions OR the cross-product of two vectors. In case of an error the error is raised as an exception.
operator ( ) : bool	Checks if two matrices of equal dimensions are not equal. In case of an error the error is raised as an exception.
this ( int Row, int Col ) : double	Set or get an element from the matrix

Private Methods

Method	Description
Find_R_C ( double Mat, int &Row ) : void
Find_R_C ( double Mat, int &Row, int &Col ) : void
IsZero ( double value ) : bool
PYTHAG ( double a, double b ) : double
ROT ( double g, double h, double s, double tau, double a, int i, int j, int k, int l ) : void
SQR ( double a ) : double
Sign ( double a, double b ) : double
SwapRows ( double Mat, int Row, int toRow ) : void
swaprows ( double arr, long row0, long row1 ) : void

Method Details

Add() public static method

Returns the summation of two matrices with compatible dimensions. In case of an error the error is raised as an exception.

public static Add ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix
Mat1	NMatrix	First matrix in the summation
Mat2	NMatrix	Second matrix in the summation
return	NMatrix

Add() public static method

Returns the summation of two matrices with compatible dimensions. In case of an error the error is raised as an exception.

public static Add ( double Mat1, double Mat2 ) : ].double[
Mat1	double	First array in the summation
Mat2	double	Second array in the summation
return	].double[

Copy() public method

public Copy ( ) : NMatrix
return	NMatrix

CrossProduct() public static method

Returns the cross product of two vectors whose dimensions should be [3] or [3x1]. In case of an error the error is raised as an exception.

public static CrossProduct ( NMatrix V1, NMatrix V2 ) : NMatrix
V1	NMatrix	First Matrix (dimensions [3,1]) in the cross product
V2	NMatrix	Second Matrix (dimensions [3,1]) in the cross product
return	NMatrix

CrossProduct() public static method

Returns the cross product of two vectors whose dimensions should be [3] or [3x1]. In case of an error the error is raised as an exception.

public static CrossProduct ( double V1, double V2 ) : ].double[
V1	double	First vector array (dimensions [3,1]) in the cross product
V2	double	Second vector array (dimensions [3,1]) in the cross product
return	].double[

CrossProduct() public static method

Returns the cross product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.

public static CrossProduct ( double V1, double V2 ) : double[]
V1	double	First vector array (dimension [3]) in the cross product
V2	double	Second vector array (dimension [3]) in the cross product
return	double[]

Det() public static method

Returns the determinant of a matrix with [n,n] dimension. In case of an error the error is raised as an exception.

public static Det ( NMatrix Mat ) : double
Mat	NMatrix	/// Matrix object with [n,n] dimension whose determinant is to be found ///
return	double

Det() public static method

Returns the determinant of a matrix with [n,n] dimension. In case of an error the error is raised as an exception.

public static Det ( double Mat ) : double
Mat	double	/// Array with [n,n] dimension whose determinant is to be found ///
return	double

DotProduct() public static method

Returns the dot product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.

public static DotProduct ( NMatrix V1, NMatrix V2 ) : double
V1	NMatrix	First Matrix object (dimension [3,1]) in the dot product
V2	NMatrix	Second Matrix object (dimension [3,1]) in the dot product
return	double

DotProduct() public static method

Returns the dot product of two vectors whose dimensions should be [3] or [3,1]. In case of an error the error is raised as an exception.

public static DotProduct ( double V1, double V2 ) : double
V1	double	First vector array (dimension [3]) in the dot product
V2	double	Second vector array (dimension [3]) in the dot product
return	double

Eigen() public static method

Returns the Eigenvalues and Eigenvectors of a real symmetric matrix, which is of dimensions [n,n]. In case of an error the error is raised as an exception. Note: This method is based on the 'Eigenvalues and Eigenvectors of a TridiagonalMatrix' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.

public static Eigen ( NMatrix Mat, NMatrix &d, NMatrix &v ) : void
Mat	NMatrix	/// The Matrix object whose Eigenvalues and Eigenvectors are to be found ///
d	NMatrix	A Matrix object where the eigenvalues are returned
v	NMatrix	A Matrix object where the eigenvectors are returned
return	void

Eigen() public static method

public static Eigen ( double Mat, double &d, double &v ) : void
Mat	double	/// The array whose Eigenvalues and Eigenvectors are to be found ///
d	double	An array where the eigenvalues are returned
v	double	An array where the eigenvectors are returned
return	void

Equals() public method

Tests whether the specified object is a MatrixLibrary.Matrix object and is identical to this MatrixLibrary.Matrix object.

public Equals ( Object obj ) : bool
obj	Object	The object to compare with the current object
return	bool

GetColumn() public method

public GetColumn ( int col ) : double[]
col	int
return	double[]

GetHashCode() public method

public GetHashCode ( ) : int
return	int

GetRow() public method

public GetRow ( int row ) : double[]
row	int
return	double[]

Identity() public static method

Returns an Identity matrix with dimensions [n,n] in the from of an array.

public static Identity ( int n ) : ].double[
n	int	the no. of rows or no. cols in the matrix
return	].double[

Inverse() public static method

Returns the inverse of a matrix with [n,n] dimension and whose determinant is not zero. In case of an error the error is raised as an exception.

public static Inverse ( NMatrix Mat ) : NMatrix
Mat	NMatrix	/// Matrix object with [n,n] dimension whose inverse is to be found ///
return	NMatrix

Inverse() public static method

Returns the inverse of a matrix with [n,n] dimension and whose determinant is not zero. In case of an error the error is raised as an exception.

public static Inverse ( double Mat ) : ].double[
Mat	double	/// Array with [n,n] dimension whose inverse is to be found ///
return	].double[

IsEqual() public static method

Checks if two matrices of equal dimensions are equal or not. In case of an error the error is raised as an exception.

public static IsEqual ( NMatrix Mat1, NMatrix Mat2 ) : bool
Mat1	NMatrix	First Matrix in equality check
Mat2	NMatrix	Second Matrix in equality check
return	bool

IsEqual() public static method

Checks if two Arrays of equal dimensions are equal or not. In case of an error the error is raised as an exception.

public static IsEqual ( double Mat1, double Mat2 ) : bool
Mat1	double	First array in equality check
Mat2	double	Second array in equality check
return	bool

LU() public static method

Returns the LU Decomposition of a matrix. the output is: lower triangular matrix L, upper triangular matrix U, and permutation matrix P so that P*X = L*U. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.

public static LU ( NMatrix Mat, NMatrix &L, NMatrix &U, NMatrix &P ) : void
Mat	NMatrix	Matrix object which will be LU Decomposed
L	NMatrix	A Matrix object where the lower traingular matrix is returned
U	NMatrix	A Matrix object where the upper traingular matrix is returned
P	NMatrix	A Matrix object where the permutation matrix is returned
return	void

LU() public static method

public static LU ( double Mat, double &L, double &U, double &P ) : void
Mat	double	Array which will be LU Decomposed
L	double	An array where the lower traingular matrix is returned
U	double	An array where the upper traingular matrix is returned
P	double	An array where the permutation matrix is returned
return	void

Multiply() public static method

Returns the multiplication of two matrices with compatible dimensions OR the cross-product of two vectors. In case of an error the error is raised as an exception.

public static Multiply ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix
Mat1	NMatrix	/// First matrix or vector (i.e: dimension [3,1]) object in /// multiplication ///
Mat2	NMatrix	/// Second matrix or vector (i.e: dimension [3,1]) object in /// multiplication ///
return	NMatrix

Multiply() public static method

Returns the multiplication of two matrices with compatible dimensions. In case of an error the error is raised as an exception.

public static Multiply ( double Mat1, double Mat2 ) : ].double[
Mat1	double	First array in multiplication
Mat2	double	Second array in multiplication
return	].double[

NMatrix() public method

Matrix object constructor, constructs a matrix from an already defined array object.

public NMatrix ( double Mat ) : System
Mat	double	the array the matrix will contain
return	System

NMatrix() public method

Matrix object constructor, constructs an empty matrix with dimensions: rows = noRows and cols = noCols.

public NMatrix ( int noRows, int noCols ) : System
noRows	int	no. of rows in this matrix
noCols	int	no. of columns in this matrix
return	System

OneD_2_TwoD() public static method

Returns the 2D form of a 1D array. i.e. array with dimension[n] is returned as an array with dimension [n,1]. In case of an error the error is raised as an exception.

public static OneD_2_TwoD ( double Mat ) : ].double[
Mat	double	/// the array to convert, with dimesion [n] ///
return	].double[

PINV() public static method

Returns the pseudoinverse of a matrix, such that X = PINV(A) produces a matrix 'X' of the same dimensions as A' so that A*X*A = A, X*A*X = X. In case of an error the error is raised as an exception.

public static PINV ( NMatrix Mat ) : NMatrix
Mat	NMatrix	a Matrix object whose pseudoinverse is to be found
return	NMatrix

PINV() public static method

Returns the pseudoinverse of a matrix, such that X = PINV(A) produces a matrix 'X' of the same dimensions as A' so that A*X*A = A, X*A*X = X. In case of an error the error is raised as an exception.

public static PINV ( double Mat ) : ].double[
Mat	double	An array whose pseudoinverse is to be found
return	].double[

PrintMat() public static method

Returns a matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.

public static PrintMat ( NMatrix Mat ) : string
Mat	NMatrix	The Matrix object to be viewed
return	string

PrintMat() public static method

Returns a matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.

public static PrintMat ( double Mat ) : string
Mat	double	The array to be viewed
return	string

Rank() public static method

Returns the rank of a matrix. In case of an error the error is raised as an exception.

public static Rank ( NMatrix Mat ) : int
Mat	NMatrix	a Matrix object whose rank is to be found
return	int

Rank() public static method

Returns the rank of a matrix. In case of an error the error is raised as an exception.

public static Rank ( double Mat ) : int
Mat	double	An array whose rank is to be found
return	int

SVD() public static method

Evaluates the Singular Value Decomposition of a matrix, returns the matrices S, U and V. Such that a given Matrix = U x S x V'. In case of an error the error is raised as an exception. Note: This method is based on the 'Singular Value Decomposition' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.

public static SVD ( NMatrix Mat, NMatrix &S, NMatrix &U, NMatrix &V ) : void
Mat	NMatrix	Matrix object whose SVD is to be computed
S	NMatrix	A Matrix object where the S matrix is returned
U	NMatrix	A Matrix object where the U matrix is returned
V	NMatrix	A Matrix object where the V matrix is returned
return	void

SVD() public static method

public static SVD ( double Mat_, double &S_, double &U_, double &V_ ) : void
Mat_	double	Array whose SVD is to be computed
S_	double	An array where the S matrix is returned
U_	double	An array where the U matrix is returned
V_	double	An array where the V matrix is returned
return	void

ScalarDivide() public static method

Returns the division of a matrix or a vector (i.e dimension [3,1]) by a scalar quantity. In case of an error the error is raised as an exception.

public static ScalarDivide ( double Value, NMatrix Mat ) : NMatrix
Value	double	The scalar value to divide the array with
Mat	NMatrix	Matrix which is to be divided by a scalar
return	NMatrix

ScalarDivide() public static method

Returns the division of a matrix or a vector (i.e dimension [3,1]) by a scalar quantity. In case of an error the error is raised as an exception.

public static ScalarDivide ( double Value, double Mat ) : ].double[
Value	double	The scalar value to divide the array with
Mat	double	Array which is to be divided by a scalar
return	].double[

ScalarMultiply() public static method

Returns the multiplication of a matrix or a vector (i.e dimension [3,1]) with a scalar quantity. In case of an error the error is raised as an exception.

public static ScalarMultiply ( double Value, NMatrix Mat ) : NMatrix
Value	double	The scalar value to multiply the array
Mat	NMatrix	Matrix which is to be multiplied by a scalar
return	NMatrix

ScalarMultiply() public static method

Returns the multiplication of a matrix or a vector (i.e dimension [3,1]) with a scalar quantity. In case of an error the error is raised as an exception.

public static ScalarMultiply ( double Value, double Mat ) : ].double[
Value	double	The scalar value to multiply the array
Mat	double	Array which is to be multiplied by a scalar
return	].double[

SolveLinear() public static method

Solves a set of n linear equations A.X = B, and returns X, where A is [n,n] and B is [n,1]. In the same manner if you need to compute: inverse(A).B, it is better to use this method instead, as it is much faster. In case of an error the error is raised as an exception. Note: This method is based on the 'LU Decomposition and Its Applications' section of Numerical Recipes in C by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, University of Cambridge Press 1992.

public static SolveLinear ( NMatrix MatA, NMatrix MatB ) : NMatrix
MatA	NMatrix	Matrix object 'A' on the left side of the equations A.X = B
MatB	NMatrix	Matrix object 'B' on the right side of the equations A.X = B
return	NMatrix

SolveLinear() public static method

public static SolveLinear ( double MatA, double MatB ) : ].double[
MatA	double	The array 'A' on the left side of the equations A.X = B
MatB	double	The array 'B' on the right side of the equations A.X = B
return	].double[

Subtract() public static method

Returns the difference of two matrices with compatible dimensions. In case of an error the error is raised as an exception.

public static Subtract ( NMatrix Mat1, NMatrix Mat2 ) : NMatrix
Mat1	NMatrix	First matrix in the subtraction
Mat2	NMatrix	Second matrix in the subtraction
return	NMatrix

Subtract() public static method

Returns the difference of two matrices with compatible dimensions. In case of an error the error is raised as an exception.

public static Subtract ( double Mat1, double Mat2 ) : ].double[
Mat1	double	First array in the subtraction
Mat2	double	Second array in the subtraction
return	].double[

ToString() public method

Returns the matrix as a string, so it can be viewed in a multi-text textbox or in a richtextBox (preferred). In case of an error the error is raised as an exception.

public ToString ( ) : string
return	string

Transpose() public static method

Returns the transpose of a matrix. In case of an error the error is raised as an exception.

public static Transpose ( NMatrix Mat ) : NMatrix
Mat	NMatrix	Matrix object whose transpose is to be found
return	NMatrix

Transpose() public static method

Returns the transpose of a matrix. In case of an error the error is raised as an exception.

public static Transpose ( double Mat ) : ].double[
Mat	double	Array whose transpose is to be found
return	].double[

TryGaussJordanElimination() public static method

public static TryGaussJordanElimination ( NMatrix a, NMatrix b, NMatrix &result ) : bool
a	NMatrix
b	NMatrix
result	NMatrix
return	bool

TwoD_2_OneD() public static method

Returns the 1D form of a 2D array. i.e. array with dimension[n,1] is returned as an array with dimension [n]. In case of an error the error is raised as an exception.

public static TwoD_2_OneD ( double Mat ) : double[]
Mat	double	/// the array to convert, with dimesions [n,1] ///
return	double[]

VectorMagnitude() public static method

Returns the magnitude of a vector whose dimension is [3] or [3,1]. In case of an error the error is raised as an exception.

public static VectorMagnitude ( NMatrix V ) : double
V	NMatrix	Matrix object (dimension [3,1]) whose magnitude is to be found
return	double

VectorMagnitude() public static method

Returns the magnitude of a vector whose dimension is [3] or [3,1]. In case of an error the error is raised as an exception.

public static VectorMagnitude ( double V ) : double
V	double	The vector array (dimension [3]) whose magnitude is to be found
return	double

operator() public static method

Returns the multiplication of two matrices with compatible dimensions OR the cross-product of two vectors. In case of an error the error is raised as an exception.

public static operator ( ) : NMatrix
return	NMatrix

operator() public static method

Checks if two matrices of equal dimensions are not equal. In case of an error the error is raised as an exception.

public static operator ( ) : bool
return	bool

this() public method

Set or get an element from the matrix

public this ( int Row, int Col ) : double
Row	int
Col	int
return	double