The LambdaMax class.
The maximum eigenvalue of a matrix, λ_{\max}(A).
LambdaMax(A) ## S4 method for signature 'LambdaMax' to_numeric(object, values) ## S4 method for signature 'LambdaMax' .domain(object) ## S4 method for signature 'LambdaMax' .grad(object, values) ## S4 method for signature 'LambdaMax' validate_args(object) ## S4 method for signature 'LambdaMax' dim_from_args(object) ## S4 method for signature 'LambdaMax' sign_from_args(object) ## S4 method for signature 'LambdaMax' is_atom_convex(object) ## S4 method for signature 'LambdaMax' is_atom_concave(object) ## S4 method for signature 'LambdaMax' is_incr(object, idx) ## S4 method for signature 'LambdaMax' is_decr(object, idx)
A |
An Expression or numeric matrix. |
object |
A LambdaMax object. |
values |
A list of arguments to the atom. |
idx |
An index into the atom. |
to_numeric: The largest eigenvalue of A. Requires that A be symmetric.
.domain: Returns the constraints describing the domain of the atom.
.grad: 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: Check that A is square.
dim_from_args: The atom is a scalar.
sign_from_args: The sign of the atom is unknown.
is_atom_convex: The atom is convex.
is_atom_concave: The atom is not concave.
is_incr: The atom is not monotonic in any argument.
is_decr: The atom is not monotonic in any argument.
AAn Expression or numeric matrix.
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