Solve non-linear equation with MS Solver Foundation C#

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I would like to solve the following equation using C# algorithms, and do not want to reinvent the wheel. I examined Math.NET, and quickly turned out it only supports solving liner matrix equations with numeric methods. Searching toward I concluded that using MS Solve Foundation I can write C# code to solve my equation with some numerical method.



Question



Given the



a^x + b^x + c^x = 1



equation, where a, b, c are given constants, for
example 0.4, 0.35, 0.5. Unfortunately all MS Solver Foundation examples are optimization and problem solving, and not simple non-linear equation solving, so I do not even know what method to use, what method is suitable at all, and what are the options.



Could anyone point what are my options?










share|improve this question



























    0















    Context



    I would like to solve the following equation using C# algorithms, and do not want to reinvent the wheel. I examined Math.NET, and quickly turned out it only supports solving liner matrix equations with numeric methods. Searching toward I concluded that using MS Solve Foundation I can write C# code to solve my equation with some numerical method.



    Question



    Given the



    a^x + b^x + c^x = 1



    equation, where a, b, c are given constants, for
    example 0.4, 0.35, 0.5. Unfortunately all MS Solver Foundation examples are optimization and problem solving, and not simple non-linear equation solving, so I do not even know what method to use, what method is suitable at all, and what are the options.



    Could anyone point what are my options?










    share|improve this question

























      0












      0








      0








      Context



      I would like to solve the following equation using C# algorithms, and do not want to reinvent the wheel. I examined Math.NET, and quickly turned out it only supports solving liner matrix equations with numeric methods. Searching toward I concluded that using MS Solve Foundation I can write C# code to solve my equation with some numerical method.



      Question



      Given the



      a^x + b^x + c^x = 1



      equation, where a, b, c are given constants, for
      example 0.4, 0.35, 0.5. Unfortunately all MS Solver Foundation examples are optimization and problem solving, and not simple non-linear equation solving, so I do not even know what method to use, what method is suitable at all, and what are the options.



      Could anyone point what are my options?










      share|improve this question














      Context



      I would like to solve the following equation using C# algorithms, and do not want to reinvent the wheel. I examined Math.NET, and quickly turned out it only supports solving liner matrix equations with numeric methods. Searching toward I concluded that using MS Solve Foundation I can write C# code to solve my equation with some numerical method.



      Question



      Given the



      a^x + b^x + c^x = 1



      equation, where a, b, c are given constants, for
      example 0.4, 0.35, 0.5. Unfortunately all MS Solver Foundation examples are optimization and problem solving, and not simple non-linear equation solving, so I do not even know what method to use, what method is suitable at all, and what are the options.



      Could anyone point what are my options?







      c# ms-solver-foundation






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      asked Nov 16 '18 at 8:48









      g.pickardoug.pickardou

      8,8131762123




      8,8131762123
























          1 Answer
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          My bad.



          I figured out that my problem is not "solving" or "solve" instead it is "root-finding".



          Looking for those words it turned out that Math.NET has 8 different method to do that.
          Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.






          share|improve this answer

























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            1 Answer
            1






            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            0














            My bad.



            I figured out that my problem is not "solving" or "solve" instead it is "root-finding".



            Looking for those words it turned out that Math.NET has 8 different method to do that.
            Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.






            share|improve this answer






























              0














              My bad.



              I figured out that my problem is not "solving" or "solve" instead it is "root-finding".



              Looking for those words it turned out that Math.NET has 8 different method to do that.
              Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.






              share|improve this answer




























                0












                0








                0







                My bad.



                I figured out that my problem is not "solving" or "solve" instead it is "root-finding".



                Looking for those words it turned out that Math.NET has 8 different method to do that.
                Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.






                share|improve this answer















                My bad.



                I figured out that my problem is not "solving" or "solve" instead it is "root-finding".



                Looking for those words it turned out that Math.NET has 8 different method to do that.
                Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.







                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Nov 16 '18 at 12:03

























                answered Nov 16 '18 at 9:18









                g.pickardoug.pickardou

                8,8131762123




                8,8131762123






























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