Class Norm
Static class Norm. Defines a set of extension methods defining norms measures.
Inheritance
System.Object
Norm
Assembly: ISynergy.Framework.Mathematics.dll
Syntax
public static class Norm : object
Methods
View Source
Euclidean(Sparse<Double>)
Gets the Euclidean norm for a matrix.
Declaration
public static double Euclidean(this Sparse<double> a)
Parameters
| Type |
Name |
Description |
| Sparse<System.Double> |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Euclidean(Sparse<Double>[], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static double[] Euclidean(this Sparse<double>[] a, int dimension)
Parameters
| Type |
Name |
Description |
| Sparse<System.Double>[] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
Euclidean(Sparse<Single>)
Gets the Euclidean norm for a matrix.
Declaration
public static float Euclidean(this Sparse<float> a)
Parameters
| Type |
Name |
Description |
| Sparse<System.Single> |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Euclidean(Sparse<Single>[], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static float[] Euclidean(this Sparse<float>[] a, int dimension)
Parameters
| Type |
Name |
Description |
| Sparse<System.Single>[] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
View Source
Euclidean(Double[])
Gets the Euclidean norm for a vector.
Declaration
public static double Euclidean(this double[] a)
Parameters
| Type |
Name |
Description |
| System.Double[] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Euclidean(Double[][])
Gets the Euclidean norm for a matrix.
Declaration
public static double Euclidean(this double[][] a)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Euclidean(Double[][], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static double[] Euclidean(this double[][] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
Euclidean(Double[,])
Gets the Euclidean norm for a matrix.
Declaration
public static double Euclidean(this double[, ] a)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Euclidean(Double[,], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static double[] Euclidean(this double[, ] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
Euclidean(Single[])
Gets the Euclidean norm for a vector.
Declaration
public static float Euclidean(this float[] a)
Parameters
| Type |
Name |
Description |
| System.Single[] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Euclidean(Single[][])
Gets the Euclidean norm for a matrix.
Declaration
public static float Euclidean(this float[][] a)
Parameters
| Type |
Name |
Description |
| System.Single[][] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Euclidean(Single[][], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static float[] Euclidean(this float[][] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Single[][] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
View Source
Euclidean(Single[,])
Gets the Euclidean norm for a matrix.
Declaration
public static float Euclidean(this float[, ] a)
Parameters
| Type |
Name |
Description |
| System.Single[,] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Euclidean(Single[,], Int32)
Gets the Euclidean norm for a matrix.
Declaration
public static float[] Euclidean(this float[, ] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Single[,] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
View Source
Frobenius(Double[][])
Gets the square root of the sum of squares for all elements in a matrix.
Declaration
public static double Frobenius(this double[][] a)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Frobenius(Double[,])
Gets the square root of the sum of squares for all elements in a matrix.
Declaration
public static double Frobenius(this double[, ] a)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Frobenius(Single[][])
Gets the square root of the sum of squares for all elements in a matrix.
Declaration
public static float Frobenius(this float[][] a)
Parameters
| Type |
Name |
Description |
| System.Single[][] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Frobenius(Single[,])
Gets the square root of the sum of squares for all elements in a matrix.
Declaration
public static float Frobenius(this float[, ] a)
Parameters
| Type |
Name |
Description |
| System.Single[,] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
Norm1(Double[][])
Returns the maximum column sum of the given matrix.
Declaration
public static double Norm1(this double[][] a)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Norm1(Double[,])
Returns the maximum column sum of the given matrix.
Declaration
public static double Norm1(this double[, ] a)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Norm2(Double[][])
Returns the maximum singular value of the given matrix.
Declaration
public static double Norm2(this double[][] a)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
Norm2(Double[,])
Returns the maximum singular value of the given matrix.
Declaration
public static double Norm2(this double[, ] a)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
SquareEuclidean(Sparse<Double>)
Gets the Squared Euclidean norm for a vector.
Declaration
public static double SquareEuclidean(this Sparse<double> a)
Parameters
| Type |
Name |
Description |
| Sparse<System.Double> |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
SquareEuclidean(Sparse<Double>[], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static double[] SquareEuclidean(this Sparse<double>[] a, int dimension)
Parameters
| Type |
Name |
Description |
| Sparse<System.Double>[] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
SquareEuclidean(Sparse<Single>)
Gets the Squared Euclidean norm for a vector.
Declaration
public static float SquareEuclidean(this Sparse<float> a)
Parameters
| Type |
Name |
Description |
| Sparse<System.Single> |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
SquareEuclidean(Sparse<Single>[], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static float[] SquareEuclidean(this Sparse<float>[] a, int dimension)
Parameters
| Type |
Name |
Description |
| Sparse<System.Single>[] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
View Source
SquareEuclidean(Double[])
Gets the Squared Euclidean norm for a vector.
Declaration
public static double SquareEuclidean(this double[] a)
Parameters
| Type |
Name |
Description |
| System.Double[] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
SquareEuclidean(Double[][])
Gets the Squared Euclidean norm for a matrix.
Declaration
public static double SquareEuclidean(this double[][] a)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
SquareEuclidean(Double[][], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static double[] SquareEuclidean(this double[][] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Double[][] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
SquareEuclidean(Double[,])
Gets the Squared Euclidean norm for a matrix.
Declaration
public static double SquareEuclidean(this double[, ] a)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
Returns
| Type |
Description |
| System.Double |
|
View Source
SquareEuclidean(Double[,], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static double[] SquareEuclidean(this double[, ] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Double[,] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Double[] |
|
View Source
SquareEuclidean(Single[])
Gets the Squared Euclidean norm for a vector.
Declaration
public static float SquareEuclidean(this float[] a)
Parameters
| Type |
Name |
Description |
| System.Single[] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
SquareEuclidean(Single[][])
Gets the Squared Euclidean norm for a matrix.
Declaration
public static float SquareEuclidean(this float[][] a)
Parameters
| Type |
Name |
Description |
| System.Single[][] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
SquareEuclidean(Single[][], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static float[] SquareEuclidean(this float[][] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Single[][] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
View Source
SquareEuclidean(Single[,])
Gets the Squared Euclidean norm for a matrix.
Declaration
public static float SquareEuclidean(this float[, ] a)
Parameters
| Type |
Name |
Description |
| System.Single[,] |
a |
|
Returns
| Type |
Description |
| System.Single |
|
View Source
SquareEuclidean(Single[,], Int32)
Gets the Squared Euclidean norm vector for a matrix.
Declaration
public static float[] SquareEuclidean(this float[, ] a, int dimension)
Parameters
| Type |
Name |
Description |
| System.Single[,] |
a |
|
| System.Int32 |
dimension |
|
Returns
| Type |
Description |
| System.Single[] |
|
