MulExpression-class: The MulExpression class.

In anqif/CVXR: Disciplined Convex Optimization

The MulExpression class.

Description

This class represents the matrix product of two linear expressions. See Multiply for the elementwise product.

Usage

## S4 method for signature 'Expression,Expression'
x %*% y

## S4 method for signature 'Expression,ConstVal'
x %*% y

## S4 method for signature 'ConstVal,Expression'
x %*% y

## S4 method for signature 'MulExpression'
to_numeric(object, values)

## S4 method for signature 'MulExpression'
dim_from_args(object)

## S4 method for signature 'MulExpression'
is_atom_convex(object)

## S4 method for signature 'MulExpression'
is_atom_concave(object)

## S4 method for signature 'MulExpression'
is_atom_log_log_convex(object)

## S4 method for signature 'MulExpression'
is_atom_log_log_concave(object)

## S4 method for signature 'MulExpression'
is_incr(object, idx)

## S4 method for signature 'MulExpression'
is_decr(object, idx)

## S4 method for signature 'MulExpression'
.grad(object, values)

## S4 method for signature 'MulExpression'
graph_implementation(object, arg_objs, dim, data = NA_real_)

Arguments

x, y	The Expression objects or numeric constants to multiply.
object	A MulExpression object.
values	A list of numeric values for the arguments
idx	An index into the atom.
arg_objs	A list of linear expressions for each argument.
dim	A vector representing the dimensions of the resulting expression.
data	A list of additional data required by the atom.

Methods (by generic)

• to_numeric(MulExpression): Matrix multiplication.

• dim_from_args(MulExpression): The (row, col) dimensions of the expression.

• is_atom_convex(MulExpression): Multiplication is convex (affine) in its arguments only if one of the arguments is constant.

• is_atom_concave(MulExpression): If the multiplication atom is convex, then it is affine.

• is_atom_log_log_convex(MulExpression): Is the atom log-log convex?

• is_atom_log_log_concave(MulExpression): Is the atom log-log concave?

• is_incr(MulExpression): Is the left-hand expression positive?

• is_decr(MulExpression): Is the left-hand expression negative?

• .grad(MulExpression): Gives the (sub/super)gradient of the atom w.r.t. each variable

• graph_implementation(MulExpression): The graph implementation of the expression.

See Also

Multiply

anqif/CVXR documentation built on Feb. 6, 2024, 4:28 a.m.