This class represents a second-order cone constraint, i.e. $$\|x\|_2 \leq t$$.

SOC(t, X, axis = 2, id = NA_integer_)

# S4 method for SOC
as.character(x)

# S4 method for SOC
residual(object)

# S4 method for SOC
get_data(object)

# S4 method for SOC
format_constr(object, eq_constr, leq_constr, dims, solver)

# S4 method for SOC
num_cones(object)

# S4 method for SOC
size(object)

# S4 method for SOC
cone_sizes(object)

# S4 method for SOC
is_dcp(object)

# S4 method for SOC
is_dgp(object)

# S4 method for SOC
canonicalize(object)

## Arguments

t

The scalar part of the second-order constraint.

X

A matrix whose rows/columns are each a cone.

axis

The dimension along which to slice: 1 indicates rows, and 2 indicates columns. The default is 2.

id

(Optional) A numeric value representing the constraint ID.

x, object

A SOC object.

eq_constr

A list of the equality constraints in the canonical problem.

leq_constr

A list of the inequality constraints in the canonical problem.

dims

A list with the dimensions of the conic constraints.

solver

A string representing the solver to be called.

## Methods (by generic)

• residual(SOC): The residual of the second-order constraint.

• get_data(SOC): Information needed to reconstruct the object aside from the args.

• format_constr(SOC): Format SOC constraints as inequalities for the solver.

• num_cones(SOC): The number of elementwise cones.

• size(SOC): The number of entries in the combined cones.

• cone_sizes(SOC): The dimensions of the second-order cones.

• is_dcp(SOC): An SOC constraint is DCP if each of its arguments is affine.

• is_dgp(SOC): Is the constraint DGP?

• canonicalize(SOC): The canonicalization of the constraint.

## Slots

t

The scalar part of the second-order constraint.

X

A matrix whose rows/columns are each a cone.

axis

The dimension along which to slice: 1 indicates rows, and 2 indicates columns. The default is 2.