The LambdaMax class.

Source: R/atoms.R

The maximum eigenvalue of a matrix, \(\lambda_{\max}(A)\).

LambdaMax(A)

# S4 method for LambdaMax
to_numeric(object, values)

# S4 method for LambdaMax
.domain(object)

# S4 method for LambdaMax
.grad(object, values)

# S4 method for LambdaMax
validate_args(object)

# S4 method for LambdaMax
dim_from_args(object)

# S4 method for LambdaMax
sign_from_args(object)

# S4 method for LambdaMax
is_atom_convex(object)

# S4 method for LambdaMax
is_atom_concave(object)

# S4 method for LambdaMax
is_incr(object, idx)

# S4 method for LambdaMax
is_decr(object, idx)

Arguments

A

An Expression or numeric matrix.

object

A LambdaMax object.

values

A list of arguments to the atom.

idx

An index into the atom.

Methods (by generic)

  • to_numeric(LambdaMax): The largest eigenvalue of A. Requires that A be symmetric.

  • .domain(LambdaMax): Returns the constraints describing the domain of the atom.

  • .grad(LambdaMax): Gives the (sub/super)gradient of the atom with respect to each argument. Matrix expressions are vectorized, so the gradient is a matrix.

  • validate_args(LambdaMax): Check that A is square.

  • dim_from_args(LambdaMax): The atom is a scalar.

  • sign_from_args(LambdaMax): The sign of the atom is unknown.

  • is_atom_convex(LambdaMax): The atom is convex.

  • is_atom_concave(LambdaMax): The atom is not concave.

  • is_incr(LambdaMax): The atom is not monotonic in any argument.

  • is_decr(LambdaMax): The atom is not monotonic in any argument.

Slots

A

An Expression or numeric matrix.