Solving quadratic matrix equation using Kronecker's product

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Kronecker's product is used to solve linear matrix equations such as
AX = B



AX + YB = C



Etc.



My question: is it possible to use Kronecker's product to solve some quadratic matrix equation (that is solvable) such as



XAX = B



XAX + YBY = C



also for
XAX + XB + CX + D = 0



XAX + XB + C = 0



XAX + BX + C = 0



thank you so much.




matrices matrix-equations




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    up vote
    0
    down vote

    favorite












    Kronecker's product is used to solve linear matrix equations such as
    AX = B



    AX + YB = C



    Etc.



    My question: is it possible to use Kronecker's product to solve some quadratic matrix equation (that is solvable) such as



    XAX = B



    XAX + YBY = C



    also for
    XAX + XB + CX + D = 0



    XAX + XB + C = 0



    XAX + BX + C = 0



    thank you so much.




    matrices matrix-equations




    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      Kronecker's product is used to solve linear matrix equations such as
      AX = B



      AX + YB = C



      Etc.



      My question: is it possible to use Kronecker's product to solve some quadratic matrix equation (that is solvable) such as



      XAX = B



      XAX + YBY = C



      also for
      XAX + XB + CX + D = 0



      XAX + XB + C = 0



      XAX + BX + C = 0



      thank you so much.




      matrices matrix-equations




      share|cite|improve this question













      Kronecker's product is used to solve linear matrix equations such as
      AX = B



      AX + YB = C



      Etc.



      My question: is it possible to use Kronecker's product to solve some quadratic matrix equation (that is solvable) such as



      XAX = B



      XAX + YBY = C



      also for
      XAX + XB + CX + D = 0



      XAX + XB + C = 0



      XAX + BX + C = 0



      thank you so much.





      matrices matrix-equations





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 28 at 9:38









      Bernard

      110k635102




      110k635102









      asked Jul 28 at 2:44









      Diggie Cruz

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