The PfEigenvalue class.
This class represents the Perron-Frobenius eigenvalue of a positive matrix.
PfEigenvalue(X) ## S4 method for signature 'PfEigenvalue' name(x) ## S4 method for signature 'PfEigenvalue' to_numeric(object, values) ## S4 method for signature 'PfEigenvalue' dim_from_args(object) ## S4 method for signature 'PfEigenvalue' sign_from_args(object) ## S4 method for signature 'PfEigenvalue' is_atom_convex(object) ## S4 method for signature 'PfEigenvalue' is_atom_concave(object) ## S4 method for signature 'PfEigenvalue' is_atom_log_log_convex(object) ## S4 method for signature 'PfEigenvalue' is_atom_log_log_concave(object) ## S4 method for signature 'PfEigenvalue' is_incr(object, idx) ## S4 method for signature 'PfEigenvalue' is_decr(object, idx) ## S4 method for signature 'PfEigenvalue' .grad(object, values)
X |
An Expression or numeric matrix. |
x, object |
A PfEigenvalue object. |
values |
A list of numeric values for the arguments |
idx |
An index into the atom. |
name: The name and arguments of the atom.
to_numeric: Returns the Perron-Frobenius eigenvalue of X.
dim_from_args: The dimensions of the atom.
sign_from_args: Returns the sign (is positive, is negative) of the atom.
is_atom_convex: Is the atom convex?
is_atom_concave: Is the atom concave?
is_atom_log_log_convex: Is the atom log-log convex?
is_atom_log_log_concave: Is the atom log-log concave?
is_incr: Is the atom weakly increasing in the argument idx?
is_decr: Is the atom weakly decreasing in the argument idx?
.grad: Gives the (sub/super)gradient of the atom w.r.t. each variable
XAn Expression or numeric matrix.
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