Identity Class Reference

Defines the function \( f: \lambda \mapsto \lambda \). More...

#include <identity.h>

Inheritance diagram for Identity:

Collaboration diagram for Identity:

Public Member Functions
virtual float	function (const float lambda_) const
virtual double	function (const double lambda_) const
virtual long double	function (const long double lambda_) const
Public Member Functions inherited from Function
virtual	~Function ()
	Default virtual destructor. More...

Detailed Description

Defines the function \( f: \lambda \mapsto \lambda \).

The matrix function \( f: \mathbb{R}^{n \times n} \to \mathbb{R}^{n \times n} \) is used in

\[ \mathrm{trace} \left( f(\mathbf{A}) \right). \]

However, instead of a matrix function, the equivalent scalar function \( f: \mathbb{R} \to \mathbb{R} \) is defiend which acts on the eigenvalues of the matrix.

Definition at line 40 of file identity.h.

Member Function Documentation

function() [1/3]

double Identity::function ( const double  lambda_ ) const

virtual

Parameters

[in]

lambda_

Eigenvalue (or singular value) of matrix.

Returns

The value of matrix function for the given eigenvalue.

Implements Function.

Definition at line 41 of file identity.cpp.

{
    return lambda_;
}

function() [2/3]

float Identity::function ( const float  lambda_ ) const

virtual

Parameters

[in]

lambda_

Eigenvalue (or singular value) of matrix.

Returns

The value of matrix function for the given eigenvalue.

Implements Function.

Definition at line 27 of file identity.cpp.

{
    return lambda_;
}

function() [3/3]

long double Identity::function ( const long double  lambda_ ) const

virtual

Parameters

[in]

lambda_

Eigenvalue (or singular value) of matrix.

Returns

The value of matrix function for the given eigenvalue.

Implements Function.

Definition at line 55 of file identity.cpp.

{
    return lambda_;
}

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The documentation for this class was generated from the following files:

• /home/runner/work/imate/imate/imate/functions/identity.h
• /home/runner/work/imate/imate/imate/functions/identity.cpp