readme8.m

Matlab numerical methods,examples of mathematical procedures

               NUMERICAL METHODS:
               MATLAB Programs
           (c) 1995 by John H. Mathews

                 To Accompany

               NUMERICAL  METHODS
            for Mathematics, Science,
                and Engineering
                Second Edition
               PRENTICE HALL, INC.
			   ISBN 0-13-624990-6
               ISBN 0-13-625047-5
          Englewood Cliffs, NJ 07632
               (c) 1992, 1987 by
                John H. Mathews
     California State University, Fullerton
         E-mail  in%"[e-mail]"



   This free software is complements of the author.
It is permissible to copy this software for educational purposes, provided
that it is used with the textbook. The software may not be sold for profit and
may only be sold in such a way that the cost of reproduction are recovered.



                       PREFACE

  This disk contains numerical methods software coded in 
MATLAB.  The algorithms are described in the text NUMERICAL 
METHODS for Mathematics, Science, and Engineering.  
  A printed version of this material is titled 
"MATLAB Programming Guidebook for NUMERICAL METHODS."
  The author appreciates correspondence regarding both the
textbook and the supplements. You are welcome to correspond
by mail or electronic mail.

Prof.  John  H.  Mathews
Department of Mathematics
California State University Fullerton
Fullerton, CA  92634
[phone]
[phone]
FAX: [phone]
E-mail:  in%"[e-mail]"

                    INSTRUCTIONS

1. For the PC version:  
    Move to the appropriate directory:  chap_1, chap_2, ... etc.

    For the Macintosh version:  
    Move to the appropriate folder:  chap_1, chap_2, ... etc.

2. All of the algorithms for the text have been coded in
    Matlab's programming language and stored as subroutines.  
    The example files for  chap_1  are named  a1_1.m, a1_2.m, ... etc.
    For Chapter 1 the examples are illustrations of the theorems.

3. The textbook discusses the following algorithm:

    Algorithm 8.1 (Golden Search for a Minimum).
    Section	8.1, Minimization of a Function, Page 413
    This finds a local minimum of a function f(x).
    The method is the golden ratio search.
    It is assumed that f(x) is unimodal over [a,b].

    To run the example for Algorithm 8.1 the user needs to use the script file 
    named a8_1.m.  This is accomplished by executing the Matlab command:

    a8_1 

4. The Matlab script in  a8_1.m  will call the subroutine named  golden.m 
    which is included in the sub directory or folder named  chap_8.
    Also, for the above example, the following function must exist as a 
    M-file named  f.m.

    function z = f(x)
    z = x.^2 - sin(x);');

    For demonstration purposes, I have used a special Matlab feature which 
    opens and writes to a file to ensure that the above M-file f.m  will exist
    in the proper sub directory or folder along with the script file a8_1.m  and
    function (subroutine) file  golden.m.  These commands are:

    delete f.m
    diary  f.m; disp('function z = f(x)');...
                disp('z = x.^2 - sin(x);');...
    diary off;

5. Once the process of writing a function M-files has been mastered,
    it is not necessary to use the diary commands mentioned above 
    to create this function M-file named f.m.  The user can then
    delete these lines from the script file  a8_1.m.