BTRAN Function

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Language Reference

BTRAN Function

computes the block transpose

BTRAN( x, n, m)

The inputs to the BTRAN function are as follows:

x: is an (inx) ×(jmx) numeric matrix.
n: is a scalar with a value that specifies the row dimension of the submatrix blocks.
m: is a scalar with a value that specifies the column dimension of the submatrix blocks.

The BTRAN function computes the block transpose of a partitioned matrix. The argument x is a partitioned matrix formed from submatrices of dimension n ×n. If the ith, jth submatrix of the argument x is denoted A_ij, then the ith, jth submatrix of the result is A_ji.

The value returned by the BTRAN function is a (jn) ×(im) matrix, the block tranpose of x, where the blocks are n ×m.

For example, the statements

   proc iml;
      z=btran({1 2 3 4,
               5 6 7 8},2,2);
      print z;

produce the result

             Z             4 rows      2 cols    (numeric)


                                  1         2
                                  5         6
                                  3         4
                                  7         8

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