CVXR: EyeMinusInv-class – R documentation

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EyeMinusInv-class

The EyeMinusInv class.

Description

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.

Usage

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)

Arguments

`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.

Methods (by generic)

to_numeric: The unity resolvent of the matrix.
name: The name and arguments of the atom.
dim_from_args: The dimensions of the atom determined from its arguments.
sign_from_args: The (is positive, is negative) sign 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 index?
is_decr: Is the atom weakly decreasing in the index?
.grad: Gives EyeMinusInv the (sub/super)gradient of the atom w.r.t. each variable

Slots

X: An Expression or numeric matrix.

CVXR

Disciplined Convex Optimization

v1.0-10

Apache License 2.0 | file LICENSE

Authors

Anqi Fu [aut, cre], Balasubramanian Narasimhan [aut], David W Kang [aut], Steven Diamond [aut], John Miller [aut], Stephen Boyd [ctb], Paul Kunsberg Rosenfield [ctb]

Initial release