Obtaining a matrix of complex values from associations giving the real and imaginary parts of each element?












4












$begingroup$


I have a list of associations keyed by real and imaginary numbers, like so:



matrix = {

   {<|"r" -> 0.368252, "i" -> 0.0199587|>, 

    <|"r" -> -0.461644, "i" -> 0.109868|>, 

    <|"r" -> -0.216081, "i" -> 0.562557|>, 

    <|"r" -> -0.479881, "i" -> -0.212978|>}, 



   {<|"r" -> 0.105028, "i" -> 0.632264|>, 

    <|"r" -> 0.116589, "i" -> -0.490063|>, 

    <|"r" -> 0.463378, "i" -> 0.231656|>,

    <|"r" -> -0.148665, "i" -> 0.212065|>},



   {<|"r" -> 0.463253, "i" -> 0.201161|>,

    <|"r" -> 0.460547, "i" -> 0.397829|>,

    <|"r" -> 0.222257, "i" -> 0.0129121|>,

    <|"r" -> 0.168641, "i" -> -0.544568|>},



   {<|"r" -> 0.255221, "i" -> -0.364687|>,

    <|"r" -> 0.191895, "i" -> -0.337437|>,

    <|"r" -> -0.12278, "i" -> 0.551195|>,

    <|"r" -> 0.560485, "i" -> 0.134702|>}

}


Given this, I can write 



testmatrix = Join[Values[matrix], 2]`


to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?






matrix expression-manipulation associations







share|improve this question











$endgroup$

















    4












    $begingroup$


    I have a list of associations keyed by real and imaginary numbers, like so:



    matrix = {
    
   {<|"r" -> 0.368252, "i" -> 0.0199587|>, 
    
    <|"r" -> -0.461644, "i" -> 0.109868|>, 
    
    <|"r" -> -0.216081, "i" -> 0.562557|>, 
    
    <|"r" -> -0.479881, "i" -> -0.212978|>}, 
    

    
   {<|"r" -> 0.105028, "i" -> 0.632264|>, 
    
    <|"r" -> 0.116589, "i" -> -0.490063|>, 
    
    <|"r" -> 0.463378, "i" -> 0.231656|>,
    
    <|"r" -> -0.148665, "i" -> 0.212065|>},
    

    
   {<|"r" -> 0.463253, "i" -> 0.201161|>,
    
    <|"r" -> 0.460547, "i" -> 0.397829|>,
    
    <|"r" -> 0.222257, "i" -> 0.0129121|>,
    
    <|"r" -> 0.168641, "i" -> -0.544568|>},
    

    
   {<|"r" -> 0.255221, "i" -> -0.364687|>,
    
    <|"r" -> 0.191895, "i" -> -0.337437|>,
    
    <|"r" -> -0.12278, "i" -> 0.551195|>,
    
    <|"r" -> 0.560485, "i" -> 0.134702|>}
    
}


    Given this, I can write 



    testmatrix = Join[Values[matrix], 2]`


    to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?






    matrix expression-manipulation associations







    share|improve this question











    $endgroup$















      4












      4








      4





      $begingroup$


      I have a list of associations keyed by real and imaginary numbers, like so:



      matrix = {
      
   {<|"r" -> 0.368252, "i" -> 0.0199587|>, 
      
    <|"r" -> -0.461644, "i" -> 0.109868|>, 
      
    <|"r" -> -0.216081, "i" -> 0.562557|>, 
      
    <|"r" -> -0.479881, "i" -> -0.212978|>}, 
      

      
   {<|"r" -> 0.105028, "i" -> 0.632264|>, 
      
    <|"r" -> 0.116589, "i" -> -0.490063|>, 
      
    <|"r" -> 0.463378, "i" -> 0.231656|>,
      
    <|"r" -> -0.148665, "i" -> 0.212065|>},
      

      
   {<|"r" -> 0.463253, "i" -> 0.201161|>,
      
    <|"r" -> 0.460547, "i" -> 0.397829|>,
      
    <|"r" -> 0.222257, "i" -> 0.0129121|>,
      
    <|"r" -> 0.168641, "i" -> -0.544568|>},
      

      
   {<|"r" -> 0.255221, "i" -> -0.364687|>,
      
    <|"r" -> 0.191895, "i" -> -0.337437|>,
      
    <|"r" -> -0.12278, "i" -> 0.551195|>,
      
    <|"r" -> 0.560485, "i" -> 0.134702|>}
      
}


      Given this, I can write 



      testmatrix = Join[Values[matrix], 2]`


      to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?






      matrix expression-manipulation associations







      share|improve this question











      $endgroup$




      I have a list of associations keyed by real and imaginary numbers, like so:



      matrix = {
      
   {<|"r" -> 0.368252, "i" -> 0.0199587|>, 
      
    <|"r" -> -0.461644, "i" -> 0.109868|>, 
      
    <|"r" -> -0.216081, "i" -> 0.562557|>, 
      
    <|"r" -> -0.479881, "i" -> -0.212978|>}, 
      

      
   {<|"r" -> 0.105028, "i" -> 0.632264|>, 
      
    <|"r" -> 0.116589, "i" -> -0.490063|>, 
      
    <|"r" -> 0.463378, "i" -> 0.231656|>,
      
    <|"r" -> -0.148665, "i" -> 0.212065|>},
      

      
   {<|"r" -> 0.463253, "i" -> 0.201161|>,
      
    <|"r" -> 0.460547, "i" -> 0.397829|>,
      
    <|"r" -> 0.222257, "i" -> 0.0129121|>,
      
    <|"r" -> 0.168641, "i" -> -0.544568|>},
      

      
   {<|"r" -> 0.255221, "i" -> -0.364687|>,
      
    <|"r" -> 0.191895, "i" -> -0.337437|>,
      
    <|"r" -> -0.12278, "i" -> 0.551195|>,
      
    <|"r" -> 0.560485, "i" -> 0.134702|>}
      
}


      Given this, I can write 



      testmatrix = Join[Values[matrix], 2]`


      to get a matrix, but it is a matrix of tuples. How can I get the complex number defined in each <|r -> Re[z], i -> Im[z]|> rather than the tuples?






      matrix expression-manipulation associations




      matrix expression-manipulation associations






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 19 mins ago









      MarcoB

      36.6k556112




      36.6k556112










      asked 7 hours ago









      MKFMKF

      1538




      1538






















          2 Answers
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          5












          $begingroup$

          Apply[Complex, matrix, {2}]



          {{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},

          {0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},

          {0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},

          {0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}







          share|improve this answer









          $endgroup$













          • $begingroup$
            Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
            $endgroup$
            – Henrik Schumacher
            37 mins ago



















          4












          $begingroup$

          matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]


          or



          Join[Values[matrix], 2].{1, I}





          share|improve this answer











          $endgroup$













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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            5












            $begingroup$

            Apply[Complex, matrix, {2}]



            {{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},

            {0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},

            {0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},

            {0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}







            share|improve this answer









            $endgroup$













            • $begingroup$
              Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
              $endgroup$
              – Henrik Schumacher
              37 mins ago
















            5












            $begingroup$

            Apply[Complex, matrix, {2}]



            {{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},

            {0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},

            {0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},

            {0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}







            share|improve this answer









            $endgroup$













            • $begingroup$
              Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
              $endgroup$
              – Henrik Schumacher
              37 mins ago














            5












            5








            5





            $begingroup$

            Apply[Complex, matrix, {2}]



            {{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},

            {0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},

            {0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},

            {0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}







            share|improve this answer









            $endgroup$



            Apply[Complex, matrix, {2}]



            {{0.368252 +0.0199587 I,-0.461644+0.109868 I,-0.216081+0.562557 I,-0.479881-0.212978 I},

            {0.105028 +0.632264 I,0.116589 -0.490063 I,0.463378 +0.231656 I,-0.148665+0.212065 I},

            {0.463253 +0.201161 I,0.460547 +0.397829 I,0.222257 +0.0129121 I,0.168641 -0.544568 I},

            {0.255221 -0.364687 I,0.191895 -0.337437 I,-0.12278+0.551195 I,0.560485 +0.134702 I}}








            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 3 hours ago









            kglrkglr

            186k10203422




            186k10203422












            • $begingroup$
              Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
              $endgroup$
              – Henrik Schumacher
              37 mins ago


















            • $begingroup$
              Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
              $endgroup$
              – Henrik Schumacher
              37 mins ago
















            $begingroup$
            Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
            $endgroup$
            – Henrik Schumacher
            37 mins ago




            $begingroup$
            Huh, that's a great one! A word of warning though: This method produces unpacked arrays.
            $endgroup$
            – Henrik Schumacher
            37 mins ago











            4












            $begingroup$

            matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]


            or



            Join[Values[matrix], 2].{1, I}





            share|improve this answer











            $endgroup$


















              4












              $begingroup$

              matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]


              or



              Join[Values[matrix], 2].{1, I}





              share|improve this answer











              $endgroup$
















                4












                4








                4





                $begingroup$

                matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]


                or



                Join[Values[matrix], 2].{1, I}





                share|improve this answer











                $endgroup$



                matrix[[All, All, "r"]] + I matrix[[All, All, "i"]]


                or



                Join[Values[matrix], 2].{1, I}






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 39 mins ago

























                answered 7 hours ago









                Henrik SchumacherHenrik Schumacher

                55.3k576154




                55.3k576154






























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