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ExampleSystems :: rose

rose -- the system Rose, a general economic equilibrium model

Synopsis

Description

This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-5250U CPU at 1.60GHz.

There were 136 solutions found in 4.954 seconds (with a Bezout bound of 216).

Reference: PoSSo test suite.

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

i1 : rose(QQ)

       4   20 2   2 4    7   4    7 4   50 2   35     49  3 6 2     5 3   3 5 2    7 4 3    7 4   2    3 4 3    609 3 3  
o1 = {y  - --x , x z  + --x*z  + --z  - --x  - --x - ---, -x y z + x y  + -x y z + -x y  - --x y*z  - --x z  + ----x y  +
            7           10       48     27     27    216  5               7        5       20         20       1000      
     ----------------------------------------------------------------------------------------------------------------------------
      63 3 2     77 3   2   21 3 3    49  2 3    147 2 2    23863 2   2    91 2 3    27391   3    4137    2    1078     2  
     ---x y z - ---x y*z  - --x z  + ----x y  + ----x y z - -----x y*z  - ---x z  - ------x*y  + ------x*y z - ----x*y*z  -
     200        125         50       1250       2000        60000         400       800000       800000        9375        
     ----------------------------------------------------------------------------------------------------------------------------
      5887    3    1029  3    24353    2     343  3
     ------x*z  - ------y  - -------y*z  - ------z }
     200000       160000     1920000       128000

o1 : List

Ways to use rose :

For the programmer

The object rose is a method function.