org.ejml.alg.dense.mult

Class CVectorVectorMult

java.lang.Object

org.ejml.alg.dense.mult.CVectorVectorMult

public class CVectorVectorMult
extends java.lang.Object

Operations that involve multiplication of two vectors.

Constructor Summary

Constructors

Constructor and Description
CVectorVectorMult()

Method Summary

Modifier and Type	Method and Description
static Complex64F	innerProd(CDenseMatrix64F x, CDenseMatrix64F y, Complex64F output) Computes the inner product of the two vectors.
static Complex64F	innerProdH(CDenseMatrix64F x, CDenseMatrix64F y, Complex64F output) Computes the inner product between a vector and the conjugate of another one.
static void	outerProd(CDenseMatrix64F x, CDenseMatrix64F y, CDenseMatrix64F A) Sets A ∈ ℜ m × n equal to an outer product multiplication of the two vectors.
static void	outerProdH(CDenseMatrix64F x, CDenseMatrix64F y, CDenseMatrix64F A) Sets A ∈ ℜ m × n equal to an outer product multiplication of the two vectors.

Methods inherited from class java.lang.Object

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

Constructor Detail

CVectorVectorMult

public CVectorVectorMult()

Method Detail

innerProd

public static Complex64F innerProd(CDenseMatrix64F x,
                                   CDenseMatrix64F y,
                                   Complex64F output)

Computes the inner product of the two vectors. In geometry this is known as the dot product.

∑_k=1:n x_k * y_k
where x and y are vectors with n elements.

These functions are often used inside of highly optimized code and therefor sanity checks are kept to a minimum. It is not recommended that any of these functions be used directly.

Parameters:

x - A vector with n elements. Not modified.

y - A vector with n elements. Not modified.

Returns:

The inner product of the two vectors.

innerProdH

public static Complex64F innerProdH(CDenseMatrix64F x,
                                    CDenseMatrix64F y,
                                    Complex64F output)

Computes the inner product between a vector and the conjugate of another one.

∑_k=1:n x_k * conj(y_k)
where x and y are vectors with n elements.

These functions are often used inside of highly optimized code and therefor sanity checks are kept to a minimum. It is not recommended that any of these functions be used directly.

Parameters:

x - A vector with n elements. Not modified.

y - A vector with n elements. Not modified.

Returns:

The inner product of the two vectors.

outerProd

public static void outerProd(CDenseMatrix64F x,
                             CDenseMatrix64F y,
                             CDenseMatrix64F A)

Sets A ∈ ℜ ^{m × n} equal to an outer product multiplication of the two vectors. This is also known as a rank-1 operation.

A = x * y^T where x ∈ ℜ ^m and y ∈ ℜ ⁿ are vectors.

Which is equivalent to: A_ij = x_i*y_j

Parameters:

x - A vector with m elements. Not modified.

y - A vector with n elements. Not modified.

A - A Matrix with m by n elements. Modified.

outerProdH

public static void outerProdH(CDenseMatrix64F x,
                              CDenseMatrix64F y,
                              CDenseMatrix64F A)

Sets A ∈ ℜ ^{m × n} equal to an outer product multiplication of the two vectors. This is also known as a rank-1 operation.

A = x * y^H where x ∈ ℜ ^m and y ∈ ℜ ⁿ are vectors.

Which is equivalent to: A_ij = x_i*y_j

Parameters:

x - A vector with m elements. Not modified.

y - A vector with n elements. Not modified.

A - A Matrix with m by n elements. Modified.