EyeMinusInv-class | R Documentation |
This class represents the unity resolvent of an elementwise positive matrix X, i.e., (I - X)^{-1}, and it enforces the constraint that the spectral radius of X is at most 1. This atom is log-log convex.
EyeMinusInv(X) ## S4 method for signature 'EyeMinusInv' to_numeric(object, values) ## S4 method for signature 'EyeMinusInv' name(x) ## S4 method for signature 'EyeMinusInv' dim_from_args(object) ## S4 method for signature 'EyeMinusInv' sign_from_args(object) ## S4 method for signature 'EyeMinusInv' is_atom_convex(object) ## S4 method for signature 'EyeMinusInv' is_atom_concave(object) ## S4 method for signature 'EyeMinusInv' is_atom_log_log_convex(object) ## S4 method for signature 'EyeMinusInv' is_atom_log_log_concave(object) ## S4 method for signature 'EyeMinusInv' is_incr(object, idx) ## S4 method for signature 'EyeMinusInv' is_decr(object, idx) ## S4 method for signature 'EyeMinusInv' .grad(object, values)
X |
An Expression or numeric matrix. |
object, x |
An EyeMinusInv object. |
values |
A list of numeric values for the arguments |
idx |
An index into the atom. |
to_numeric(EyeMinusInv)
: The unity resolvent of the matrix.
name(EyeMinusInv)
: The name and arguments of the atom.
dim_from_args(EyeMinusInv)
: The dimensions of the atom determined from its arguments.
sign_from_args(EyeMinusInv)
: The (is positive, is negative) sign of the atom.
is_atom_convex(EyeMinusInv)
: Is the atom convex?
is_atom_concave(EyeMinusInv)
: Is the atom concave?
is_atom_log_log_convex(EyeMinusInv)
: Is the atom log-log convex?
is_atom_log_log_concave(EyeMinusInv)
: Is the atom log-log concave?
is_incr(EyeMinusInv)
: Is the atom weakly increasing in the index?
is_decr(EyeMinusInv)
: Is the atom weakly decreasing in the index?
.grad(EyeMinusInv)
: Gives EyeMinusInv the (sub/super)gradient of the atom w.r.t. each variable
X
An Expression or numeric matrix.
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