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NormNuc-class

The NormNuc class.


Description

The nuclear norm, i.e. sum of the singular values of a matrix.

Usage

NormNuc(A)

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

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

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

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

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

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

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

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

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

Arguments

A

An Expression or numeric matrix.

object

A NormNuc object.

values

A list of numeric values for the arguments

idx

An index into the atom.

Methods (by generic)

  • to_numeric: The nuclear norm (i.e., the sum of the singular values) of A.

  • allow_complex: Does the atom handle complex numbers?

  • dim_from_args: The atom is a scalar.

  • sign_from_args: The atom is positive.

  • 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.

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

Slots

A

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

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