MathFun

abs,dual-method

sqrt,dual-method

The function <code>abs(x)</code> computes the absolute value of <code>x</code>, 
while <code>sqrt(x)</code> computes the square root of <code>x</code>.

Automatic differentiation is achieved by using dual numbers without
providing hand-coded gradient functions. The output value of a mathematical
function is returned with the values of its exact first derivative
(or gradient). For more details see Baydin, Pearlmutter, Radul, and Siskind
(2018) <https://jmlr.org/papers/volume18/17-468/17-468.pdf>.

Luca Sartore

dual

Automatic Differentiation with Dual Numbers

MathFun function

<dl><dt>x</dt>
<dd>a dual object or numeric value.</dd></dl>

Arguments

Miscellaneous Mathematical Functions — MathFun

<dl>

<dt>x</dt>
<dd>a dual object or numeric value.</dd>

</dl>

MathFun: Miscellaneous Mathematical Functions

Description

Usage

Value

Arguments

Examples