comb3000s -- a combustion chemistry example for a temperature of 3000 degrees

Synopsis

Usage:

comb3000s(kk)
Inputs:
- kk, a ring, the coefficient ring
Outputs:
- a list, of the polynomials in the system

Description

This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-4258U CPU at 2.40GHz.

There were 16 solutions found in 0.707914 seconds (with a Bezout bound of 96).

Reference: A.P. Morgan. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems', Prentice-Hall, Englewood Cliffs, N.J., 1987. Chapter 9.

See also: http://homepages.math.uic.edu/~jan/Demo/comb3000s.html

i1 : comb3000s(RR_53)

                                                                        
o1 = {.101815x  + .98961x  + 1.34637x  + 3.4697x   - 2.12454, .57674x  +
              2          6           9          10                   3  
     ------------------------------------------------------------------------
                                                                        
     .78995x  - 2.19493, .087316x  + .895129x  + 1.37722x  + 2.45208x  +
            8                    1           3           5           8  
     ------------------------------------------------------------------------
                                                                          
     .719622x  + .927261x   - 5.67773, .0025003x  + 19.9988x  - 19.9988, -
             9           10                     4           7             
     ------------------------------------------------------------------------
             2                       2                       2               
     1.37722x  + .726099x , - .98961x  + 1.0105x , - 19.9988x  + .050003x , -
             1           5           2          6            4           7   
     ------------------------------------------------------------------------
                                                                     2
     1.93702x x  + .516256x , - .968878x x  + 1.03212x , - 3.21732x x  +
             1 3           8            1 2           9            1 2  
     ------------------------------------------------------------------------
     .310818x  }
             10

o1 : List

Ways to use comb3000s :

comb3000s(Ring)

For the programmer

The object comb3000s is a method function.