Class MatrixOperations

Namespace

SignalSharp.Utilities

Assembly

SignalSharp.dll

Provides operations for matrix manipulation and arithmetic.

The class includes methods to transpose matrices and perform matrix multiplication.

public static class MatrixOperations

Inheritance

object

MatrixOperations

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Methods

Inverse(double[,])

Inverts the given matrix.

The method uses the Gauss-Jordan elimination method to compute the inverse of a matrix.

public static double[,] Inverse(double[,] matrix)

Parameters

matrix double[,]

The matrix to invert.

Returns

double[,]

The inverse of the matrix.

Examples

double[,] matrix = { {1, 2}, {3, 4} };
double[,] result = MatrixOperations.Inverse(matrix);
// result is { {-2, 1}, {1.5, -0.5} }

Exceptions

ArgumentException

Thrown when the matrix is not square or is singular (non-invertible).

Multiply(double[,], double[,])

Multiplies two matrices and returns the result.

Matrix multiplication is only defined when the number of columns in the first matrix matches the number of rows in the second matrix.

public static double[,] Multiply(double[,] A, double[,] B)

Parameters

A double[,]

The first matrix.

B double[,]

The second matrix.

Returns

double[,]

The product of the two matrices.

Examples

double[,] A = { {1, 2}, {3, 4} };
double[,] B = { {5, 6}, {7, 8} };
double[,] result = MatrixOperations.Multiply(A, B);
// result is { {19, 22}, {43, 50} }

Exceptions

ArgumentException

Thrown when the number of columns in A does not match the number of rows in B.

Multiply(double[,], double[])

Multiplies a matrix by a vector and returns the result.

This operation is defined when the number of columns in the matrix matches the length of the vector.

public static double[] Multiply(double[,] A, double[] B)

Parameters

A double[,]

The matrix.

B double[]

The vector.

Returns

double[]

The product of the matrix and the vector.

Examples

double[,] A = { {1, 2}, {3, 4}, {5, 6} };
double[] B = { 7, 8 };
double[] result = MatrixOperations.Multiply(A, B);
// result is { 23, 53, 83 }

Exceptions

ArgumentException

Thrown when the number of columns in the matrix does not match the length of the vector.

SolveLinearSystemQR(double[,], double[])

Solves a system of linear equations Ax = b using QR factorization with SIMD optimization.

public static double[] SolveLinearSystemQR(double[,] A, double[] y)

Parameters

A double[,]

The matrix representing the system of linear equations.

y double[]

The vector representing the right-hand side of the equations.

Returns

double[]

An array of solutions for the system of linear equations.

Examples

double[,] A = { { 1, 2 }, { 3, 4 } };
double[] y = { 5, 6 };
double[] result = SolveLinearSystemQR(A, y);

Transpose(double[,])

Transposes the given matrix.

The transpose of a matrix is obtained by swapping its rows with its columns.

public static double[,] Transpose(double[,] matrix)

Parameters

matrix double[,]

The matrix to transpose.

Returns

double[,]

The transposed matrix.

Examples

double[,] matrix = { {1, 2}, {3, 4}, {5, 6} };
double[,] result = MatrixOperations.Transpose(matrix);
// result is { {1, 3, 5}, {2, 4, 6} }

TrySolveLinearSystemQR(double[,], double[], out double[]?)

public static bool TrySolveLinearSystemQR(double[,] A, double[] y, out double[]? solution)

Parameters

A double[,]

y double[]

solution double[]

Returns

bool