Projection onto intersection of affine subspaces











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I was wondering if there is a closed formular for the projection onto the intersection of the subspaces $Ax = b$ and $Zx = 0$. I know there is a closed formula for either one of those, but can you also project onto the interesection by use of the pseudoinverse?



I am aware of the alternating projection method, but this takes too long for my purposes.



Thanks!






linear-algebra







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    up vote
    0
    down vote

    favorite












    I was wondering if there is a closed formular for the projection onto the intersection of the subspaces $Ax = b$ and $Zx = 0$. I know there is a closed formula for either one of those, but can you also project onto the interesection by use of the pseudoinverse?



    I am aware of the alternating projection method, but this takes too long for my purposes.



    Thanks!






    linear-algebra







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I was wondering if there is a closed formular for the projection onto the intersection of the subspaces $Ax = b$ and $Zx = 0$. I know there is a closed formula for either one of those, but can you also project onto the interesection by use of the pseudoinverse?



      I am aware of the alternating projection method, but this takes too long for my purposes.



      Thanks!






      linear-algebra







      share|cite|improve this question













      I was wondering if there is a closed formular for the projection onto the intersection of the subspaces $Ax = b$ and $Zx = 0$. I know there is a closed formula for either one of those, but can you also project onto the interesection by use of the pseudoinverse?



      I am aware of the alternating projection method, but this takes too long for my purposes.



      Thanks!






      linear-algebra




      linear-algebra






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 15 at 19:59









      InspectorPing

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