Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

This package contains functions for measuring the performance of Mathematica on your computer and for producing a comparison report that includes benchmark results for other ...

QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

Widgets created within a user interface definition can be named and registered in an object registry for easy lookup reference by script code and other widgets. Complete ...

SmoothHistogram3D[{{x_1, y_1}, {x_2, y_2}, ...}] plots a 3D smooth kernel histogram of the values {x_i, y_i}.SmoothHistogram3D[{{x_1, y_1}, {x_2, y_2}, ...}, espec] plots a ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Wolfram LibraryLink allows dynamic libraries to be directly loaded into the Mathematica kernel so that functions in the libraries can be immediately called from Mathematica. ...

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

MIME type: application/pdf Adobe Acrobat format. Standard format for exchanging and archiving multi-page documents. PDF is an acronym for Portable Document Format. Binary ...

SmoothHistogram[{x_1, x_2, ...}] plots a smooth kernel histogram of the values x_i.SmoothHistogram[{x_1, x_2, ...}, espec] plots a smooth kernel histogram with estimator ...