Quasi-Newton Methods (Mathematica Tutorial)

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

Connection Pools (DatabaseLink Tutorial)

Database connection pools are a common way to improve the performance of database operations. They can be useful because creating a new connection can easily take several ...

Examples (DatabaseLink Tutorial)

This example shows how to use a private database to store Mathematica commands and query the data from Java and Mathematica. If you find that the examples in this section do ...

Introduction (NETLink Tutorial)

Welcome to .NET/Link, a product that integrates Mathematica and Microsoft's .NET platform. .NET/Link lets you call .NET from Mathematica in a completely transparent way, and ...

Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

ListStreamDensityPlot (Built-in Mathematica Symbol)

ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListStreamDensityPlot[{{{x_1, y_1}, ...

ListVectorDensityPlot (Built-in Mathematica Symbol)

ListVectorDensityPlot[array] generates a vector plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListVectorDensityPlot[{{{x_1, y_1}, {{vx_1, ...

Grids, Rows, and Columns in Mathematica (Mathematica Tutorial)

Mathematica provides a broad range of powerful constructs for laying out content on a screen or page. They are designed to be immediately useful for the beginner, yet also ...

Shapes, Icons, and Related Characters (Mathematica Guide)

Mathematica not only allows you to mix arbitrary graphics into text, but also provides convenient font characters for some common shapes and icons.

Calling .NET from Mathematica (NETLink Tutorial)

.NET/Link provides Mathematica users with the ability to interact with arbitrary .NET types directly from Mathematica. You can create objects and call methods and properties ...