SigmaMax-class: The SigmaMax class.

In CVXR: Disciplined Convex Optimization

The SigmaMax class.

Description

The maximum singular value of a matrix.

Usage

SigmaMax(A = A)

## S4 method for signature 'SigmaMax'
to_numeric(object, values)

## S4 method for signature 'SigmaMax'
allow_complex(object)

## S4 method for signature 'SigmaMax'
dim_from_args(object)

## S4 method for signature 'SigmaMax'
sign_from_args(object)

## S4 method for signature 'SigmaMax'
is_atom_convex(object)

## S4 method for signature 'SigmaMax'
is_atom_concave(object)

## S4 method for signature 'SigmaMax'
is_incr(object, idx)

## S4 method for signature 'SigmaMax'
is_decr(object, idx)

## S4 method for signature 'SigmaMax'
.grad(object, values)

Arguments

A	An Expression or matrix.
object	A SigmaMax object.
values	A list of numeric values for the arguments
idx	An index into the atom.

Methods (by generic)

• to_numeric(SigmaMax): The largest singular value of A.

• allow_complex(SigmaMax): Does the atom handle complex numbers?

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

• sign_from_args(SigmaMax): The atom is positive.

• is_atom_convex(SigmaMax): The atom is convex.

• is_atom_concave(SigmaMax): The atom is concave.

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

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

• .grad(SigmaMax): Gives the (sub/super)gradient of the atom w.r.t. each variable

Slots

A

An Expression or numeric matrix.

CVXR documentation built on June 27, 2024, 5:11 p.m.