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ExampleSystems :: wright

wright -- system of A.H. Wright

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 32 solutions found in 0.0944 seconds (with a Bezout bound of 32).

Reference: "Computation of all solutions to a system of polynomial equations" by M. Kojima and S. Mizuno (pages 131-157), "Finding all solutions to a system of polynomial equations" by A.H. Wright (pages 125-133), and "A simple homotopy method for determining all isolated solutions to polynomial systems" by W. Zulehner (pages 167-177).

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

i1 : wright(QQ)

       2                                 2                                 2
o1 = {x  - x  + x  + x  + x  + x  - 10, x  + x  - x  + x  + x  + x  - 10, x 
       1    1    2    3    4    5        2    1    2    3    4    5        3
     ------------------------------------------------------------------------
                                     2                                 2
     + x  + x  - x  + x  + x  - 10, x  + x  + x  + x  - x  + x  - 10, x  + x 
        1    2    3    4    5        4    1    2    3    4    5        5    1
     ------------------------------------------------------------------------
     + x  + x  + x  - x  - 10}
        2    3    4    5

o1 : List

Ways to use wright :

For the programmer

The object wright is a method function.