dev.nm.algebra.linear.matrix.doubles.operation

Class InnerProduct

java.lang.Object

dev.nm.algebra.linear.matrix.doubles.operation.InnerProduct

public class InnerProduct
extends Object

The Frobenius inner product is the component-wise inner product of two matrices as though they are vectors. In other words, it is the sum of the entries of the Hadamard product, that is, \[ A : B = \operatorname{trace}(A^{\mathsf T}B) = \operatorname{trace}(AB^{\mathsf T}); \]

See Also:

Wikipedia: Frobenius inner product

Constructor Summary

Constructors

Constructor and Description
InnerProduct(Matrix A, Matrix B) Compute the inner product of two matrices.

Method Summary

Modifier and Type	Method and Description
double	value() Get the value of the inner product.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

InnerProduct

public InnerProduct(Matrix A,
                    Matrix B)

Compute the inner product of two matrices.

Parameters:

A - a matrix

B - a matrix

Method Detail

value

public double value()

Get the value of the inner product.

Returns:

the value of the inner product