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[project @ 2007-05-15 02:23:08 by jwe]
author jwe
date Tue, 15 May 2007 02:23:32 +0000
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64 If you are new to Octave, I recommend that you try these examples to 64 If you are new to Octave, I recommend that you try these examples to
65 begin learning Octave by using it. Lines marked with @samp{octave:13>} 65 begin learning Octave by using it. Lines marked with @samp{octave:13>}
66 are lines you type, ending each with a carriage return. Octave will 66 are lines you type, ending each with a carriage return. Octave will
67 respond with an answer, or by displaying a graph. 67 respond with an answer, or by displaying a graph.
68 68
69 @unnumberedsubsec Creating a Matrix 69 @subsection Creating a Matrix
70 70
71 To create a new matrix and store it in a variable so that it you can 71 To create a new matrix and store it in a variable so that it you can
72 refer to it later, type the command 72 refer to it later, type the command
73 73
74 @example 74 @example
94 94
95 @example 95 @example
96 octave:3> B 96 octave:3> B
97 @end example 97 @end example
98 98
99 @unnumberedsubsec Matrix Arithmetic 99 @subsection Matrix Arithmetic
100 100
101 Octave has a convenient operator notation for performing matrix 101 Octave has a convenient operator notation for performing matrix
102 arithmetic. For example, to multiply the matrix @code{a} by a scalar 102 arithmetic. For example, to multiply the matrix @code{a} by a scalar
103 value, type the command 103 value, type the command
104 104
127 127
128 @example 128 @example
129 octave:6> A' * A 129 octave:6> A' * A
130 @end example 130 @end example
131 131
132 @unnumberedsubsec Solving Linear Equations 132 @subsection Solving Linear Equations
133 133
134 To solve the set of linear equations @code{A@var{x} = b}, 134 To solve the set of linear equations @code{A@var{x} = b},
135 use the left division operator, @samp{\}: 135 use the left division operator, @samp{\}:
136 136
137 @example 137 @example
151 but avoids computing the inverse of a matrix directly. 151 but avoids computing the inverse of a matrix directly.
152 152
153 If the coefficient matrix is singular, Octave will print a warning 153 If the coefficient matrix is singular, Octave will print a warning
154 message and compute a minimum norm solution. 154 message and compute a minimum norm solution.
155 155
156 @unnumberedsubsec Integrating Differential Equations 156 @subsection Integrating Differential Equations
157 157
158 Octave has built-in functions for solving nonlinear differential 158 Octave has built-in functions for solving nonlinear differential
159 equations of the form 159 equations of the form
160 @iftex 160 @iftex
161 @tex 161 @tex
244 The function @code{lsode} uses the Livermore Solver for Ordinary 244 The function @code{lsode} uses the Livermore Solver for Ordinary
245 Differential Equations, described in A. C. Hindmarsh, @cite{ODEPACK, a 245 Differential Equations, described in A. C. Hindmarsh, @cite{ODEPACK, a
246 Systematized Collection of ODE Solvers}, in: Scientific Computing, R. S. 246 Systematized Collection of ODE Solvers}, in: Scientific Computing, R. S.
247 Stepleman et al. (Eds.), North-Holland, Amsterdam, 1983, pages 55--64. 247 Stepleman et al. (Eds.), North-Holland, Amsterdam, 1983, pages 55--64.
248 248
249 @unnumberedsubsec Producing Graphical Output 249 @subsection Producing Graphical Output
250 250
251 To display the solution of the previous example graphically, use the 251 To display the solution of the previous example graphically, use the
252 command 252 command
253 253
254 @example 254 @example
276 276
277 @noindent 277 @noindent
278 explains more options for the @code{print} command and provides a list 278 explains more options for the @code{print} command and provides a list
279 of additional output file formats. 279 of additional output file formats.
280 280
281 @unnumberedsubsec Editing What You Have Typed 281 @subsection Editing What You Have Typed
282 282
283 At the Octave prompt, you can recall, edit, and reissue previous 283 At the Octave prompt, you can recall, edit, and reissue previous
284 commands using Emacs- or vi-style editing commands. The default 284 commands using Emacs- or vi-style editing commands. The default
285 keybindings use Emacs-style commands. For example, to recall the 285 keybindings use Emacs-style commands. For example, to recall the
286 previous command, press @kbd{Control-p} (usually written @kbd{C-p} for 286 previous command, press @kbd{Control-p} (usually written @kbd{C-p} for
290 on the line, etc. 290 on the line, etc.
291 291
292 A complete description of the command line editing capability is given 292 A complete description of the command line editing capability is given
293 in this manual in @ref{Command Line Editing}. 293 in this manual in @ref{Command Line Editing}.
294 294
295 @unnumberedsubsec Help and Documentation 295 @subsection Help and Documentation
296 296
297 Octave has an extensive help facility. The same documentation that is 297 Octave has an extensive help facility. The same documentation that is
298 available in printed form is also available from the Octave prompt, 298 available in printed form is also available from the Octave prompt,
299 because both forms of the documentation are created from the same input 299 because both forms of the documentation are created from the same input
300 file. 300 file.