HOM4PS-2.0 (Matlab)

 

 

Matlab interface for HOM4PS-2.0

 

•  Download:

HOM4PS2_m32.zip    for 32-bit system

 

HOM4PS2_m64.zip    for 64-bit system

 

 

•  Usage:

Step1:   Unzip HOM4PS2_m.zip.

Step2:   Copy the files in the MATLAB Work directory.

Step3:   Type “help HOM4PS2’’.

 

 

 

>> help HOM4PS2

 

       Homotopy method for solving polynomial systems.

 

   Syntax:   >> [rootCell,nroot] = HOM4PS2(n,P,mthd)

   Input :

            n -- the number of equations.

            P -- polynomial system (string form).

         mthd -- (optional)

                 = 1 : use the polyhedral homotopy method. (default)

                 = 2 : use the classical homotopy method.

 

   output :

     rootCell -- Matlab Cell containing information of solutions.

              rootCell{:,1} : solutions.

              rootCell{:,2} : the residue of solutions.

              rootCell{:,3} : the condition number of solutions.

 

         e.g. rootCell{1,1} is the first solution.

              rootCell{1,2} is the residue of the first solution.

              rootCell{1,3} is the condition number of the first solution.

 

        nroot -- the number of solutions.

 

   Example:

  >> P = '{3+x^3*y^2+x; 4*y*z^5+8*x^2*y^4*z^4-1; x+y+z-1;}'

  >> [rootCell,nroot] = HOM4PS2(3,P);

 

 

 

 

If you have any questions or comments, please contact

    * Tsung-Lin Lee     ( leetsung@math.nsysu.edu.tw )

Tien-Yien Li        ( li@math.msu.edu )

Chih-Hsiung Tsai ( tsaichih@msu.edu )

 

 

        * Corresponding author