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CVXR (version 0.99-7)

LambdaMax-class: The LambdaMax class.

Description

The maximum eigenvalue of a matrix, λmax(A).

Usage

LambdaMax(A)

# S4 method for LambdaMax validate_args(object)

# S4 method for LambdaMax to_numeric(object, values)

# S4 method for LambdaMax size_from_args(object)

# S4 method for LambdaMax sign_from_args(object)

# S4 method for LambdaMax is_atom_convex(object)

# S4 method for LambdaMax is_atom_concave(object)

# S4 method for LambdaMax is_incr(object, idx)

# S4 method for LambdaMax is_decr(object, idx)

# S4 method for LambdaMax graph_implementation(object, arg_objs, size, data = NA_real_)

Arguments

A

An '>Expression or numeric matrix.

object

A '>LambdaMax object.

values

A list of arguments to the atom.

idx

An index into the atom.

arg_objs

A list of linear expressions for each argument.

size

A vector with two elements representing the size of the resulting expression.

data

A list of additional data required by the atom.

Methods (by generic)

  • validate_args: Check that A is square.

  • to_numeric: The largest eigenvalue of A. Requires that A be symmetric.

  • size_from_args: The atom is a scalar.

  • sign_from_args: The sign of the atom is unknown.

  • 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.

  • graph_implementation: The graph implementation of the atom.

Slots

A

An '>Expression or numeric matrix.