Mathematica is a modular software system in which the kernel which actually performs computations is separate from the front end which handles interaction with the user. The ...

There are often many different ways to write the same algebraic expression. As one example, the expression (1+x)^2 can be written as 1+2x+x^2. Mathematica provides a large ...

Choose Insert > Table/Matrix > New. Use the dialog box that pops up to create a matrix. Suppose the entry in the top-left position is selected.

Type the expression that will have an underscript. Type x. Create an underscript by pressing the Control key and the 4 key at the same time.

Type a left parenthesis and a right parenthesis, then move the insertion point to be between them. Type (), and press ←. Type the first entry of the vector. Create the next ...

The essence of most methods is in the local quadratic model that is used to determine the next step. The FindMinimum function in Mathematica has five essentially different ...

There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...

[AN96] Adams, L. and J. L. Nazareth. (Eds.) Linear and Nonlinear Conjugate Gradient-Related Methods. SIAM, 1996. [Br02] Brent, R. P. Algorithms for Minimization without ...

There are many ways to use symbols in Mathematica. Here we use symbols as 'tags' for different types of objects. Working with physical units gives one simple example. When ...

Mathematica usually goes about its work silently, giving output only when it has finished doing the calculations you asked for. However, if it looks as if Mathematica is ...