Programming and Graphics

356 Introduction to C++ Programming and Graphics

Function Purpose

cat Concatenate arrays

cond Condition number of a matrix

det Matrix determinant

eig Matrix eigenvalues and eigenvectors

inv Matrix inverse

lu LU-decomposition of a matrix

ode23 Solution of ordinary differential equations

by the second/third-order Runge-Kutta method

ode45 Solution of ordinary differential equations

by the fourth/fifth-order Runge-Kutta-Fehlberg method

qr QR-decomposition of a matrix,

whereQis an orthogonal matrix andR

is an upper triangular (right) matrix

poly Characteristic polynomial of a matrix

quad Function integration by Simpson’s rule

root Polynomial root finder

svd Singular-value decomposition

trapz Function integration by the trapezoidal rule

x=A\b Solves the linear systemA·x=b,

whereAis anN×Nmatrix,

andb,xareN-dimensional column vectors

x=b/A Solves the linear systemx·A=b,

whereAis anN×Nmatrix,

andb,xareN-dimensional row vectors

Table F.7.1A partial list of general-purpose numerical methodsMatlabfunc-
tions.

• To generate a new graphics window, use the command:figure


• To produce a graphics file, use theexportorsaveoption under thefile
  pull-down menu in the figure window.


• To manipulate axis properties, use the commandaxisand its options.


• To superimpose graphs, use the commandhold.


• To close a graphics window, use the commandclose.

In the remainder of this section, we present several graphics sessions
followed by the graphics output.