Package org.ejml.dense.row.mult

Class VectorVectorMult_ZDRM

java.lang.Object

org.ejml.dense.row.mult.VectorVectorMult_ZDRM

public class VectorVectorMult_ZDRM
extends Object

Operations that involve multiplication of two vectors.

Constructor Summary

Constructors

Constructor	Description
VectorVectorMult_ZDRM()

Method Summary

Modifier and Type	Method	Description
static Complex_F64	innerProd(ZMatrixRMaj x, ZMatrixRMaj y, @Nullable Complex_F64 output)	Computes the inner product of the two vectors.
static Complex_F64	innerProdH(ZMatrixRMaj x, ZMatrixRMaj y, @Nullable Complex_F64 output)	Computes the inner product between a vector and the conjugate of another one.
static void	outerProd(ZMatrixRMaj x, ZMatrixRMaj y, ZMatrixRMaj A)	Sets A ∈ ℜ m × n equal to an outer product multiplication of the two vectors.
static void	outerProdH(ZMatrixRMaj x, ZMatrixRMaj y, ZMatrixRMaj A)	Sets A ∈ ℜ m × n equal to an outer product multiplication of the two vectors.

Methods inherited from class java.lang.Object

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

Constructor Details

VectorVectorMult_ZDRM

public VectorVectorMult_ZDRM()

Method Details

innerProd

public static Complex_F64 innerProd(ZMatrixRMaj x,
 ZMatrixRMaj y,
 @Nullable
 @Nullable Complex_F64 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 Complex_F64 innerProdH(ZMatrixRMaj x,
 ZMatrixRMaj y,
 @Nullable
 @Nullable Complex_F64 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(ZMatrixRMaj x,
 ZMatrixRMaj y,
 ZMatrixRMaj 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(ZMatrixRMaj x,
 ZMatrixRMaj y,
 ZMatrixRMaj 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.