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Numerical Functions 128!:

128!:0 y QR. Produces the QR decomposition of a complex matrix y (in the domain of matrix inverse %.), an Hermitian matrix and a square upper triangular matrix, individually boxed.
   x=: +/ . *                  Matrix product
   A=: j./?. 2 7 4$10          A random complex matrix
   $A
7 4
   'Q R'=: 128!:0 A
   $Q
7 4
   $R
4 4
   >./|,(=i.4) - (+|:Q) x Q    Q is Hermitian
6.33846e_16
   0~:R                        R is upper triangular
1 1 1 1
0 1 1 1
0 0 1 1
0 0 0 1
   A -: Q x R
1
128!:1 y R Inv. Invert square upper triangular matrix.




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