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Vector dot product (inner product)

Source: R/045_atoms_affine_binary_operators.R
vdot.Rd

The standard inner product of x and y: both are flattened, multiplied elementwise, and summed. Conjugate-linear in x — x is conjugated before multiplying, matching numpy.vdot() and CVXPY's vdot(). For real arguments conjugation is the identity, so this is the ordinary dot product.

Either argument may also be a (possibly nested) list, which is flattened before the product; the two are flattened independently, so their nesting need not match.

Usage

vdot(x, y)

Arguments

x

An Expression, numeric value, or nested list thereof. The conjugate-linear argument.

y

An Expression, numeric value, or nested list thereof. The linear argument.

Value

A scalar Expression representing sum(Conj(x) * y).

See also

scalar_product(), cvxr_outer(), deep_flatten()

Examples

x <- Variable(3)
vdot(x, c(1, 2, 3))
#> SumEntries(CVXR::Conj_(Reshape(var171, c(3, 1))) * Reshape([3x1 matrix], c(3, 1)), NULL, FALSE)

a <- Variable(); b <- Variable()
vdot(list(a, b), c(1, 2))
#> SumEntries(CVXR::Conj_(CVXR::VStack(Reshape(var178, c(1, 1)), Reshape(var179, c(1, 1)))) * Reshape([2x1 matrix], c(2, 1)), NULL, FALSE)