Analysis of Functions, Interpolation, Curve Fitting, Integrals and Differential Equations 2

March 23rd, 2010 No Comments   Posted in Documents

Localize minima and maxima of functions

Let us try to find the local minima and maxima for the function func(x). The interval of interest is [-6 0]. The algorithms are iterative. There are 2 methods to use. The first one decides x in a given interval, and the second one looks for x around an initial guess. To decide the maxima we are looking for an x that minimizes the negative function: -func(x). Read More

Analysis of Functions, Interpolation, Curve Fitting, Integrals and Differential Equations

March 23rd, 2010 No Comments   Posted in Documents

In this tutorial we will deal with analysis of functions, interpolation, curve fitting, integrals and differential equations. Firstly, we will need to use polynomials and therefore we have to be familiar with the representation of these. A general polynomial looks like: p(x)=anxn + an-1xn-1 +……….+ a1x + a0 and is represented by a vector in Matlab:
p=[ an an-1 ....... a1 a0 ] Read More

accumarray

September 9th, 2009 No Comments   Posted in Functions

Construct array with accumulation Read More

type

August 13th, 2009 No Comments   Posted in Functions

type List M-file.
type foo.bar lists the ascii file called ‘foo.bar’.
type foo lists the ascii file called ‘foo.m’. Read More

Manipulating Matrices

March 13th, 2008 No Comments   Posted in Documents

Matrices and Magic Squares

Matlab MatrisIn MATLAB, a matrix is a rectangular array of numbers. Special meaning is sometimes attached to 1-by-1 matrices, which are scalars, and to matrices with only one row or column, which are vectors. MATLAB has other ways of storing both numeric and nonnumeric data, but in the beginning, it is usually best to think of everything as a matrix. The operations in MATLAB are designed to be as natural as possible. Where other programming languages work with numbers one at a time, MATLAB allows you to work with entire matrices quickly and easily. A good example matrix, used throughout this book, appears in the Renaissance engraving Melancholia I by the German artist and amateur mathematician Albrecht Dürer. Read More

Desktop Tools

March 12th, 2008 No Comments   Posted in Documents

This section provides an introduction to MATLAB’s desktop tools. You can also use MATLAB functions to perform most of the features found in the desktop tools. The tools are: Read More

pack

March 6th, 2008 No Comments   Posted in Functions

pack Consolidate workspace memory.
pack performs memory garbage collection. Extended MATLAB sessions may cause memory to become fragmented, preventing
large variables from being stored. pack is a command that saves all variables on disk, clears the memory, and then
reloads the variables. Read More