BLOCK Function

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BLOCK Function

forms block-diagonal matrices

BLOCK( matrix1<, matrix2,..., matrix15>)

where matrix is a numeric matrix or literal.

The BLOCK function creates a new block-diagonal matrix from all the matrices specified in the argument matrices. Up to 15 matrices can be specified. The matrices are combined diagonally to form a new matrix. For example, the statement

   block(a,b,c);

produces a matrix of the form

$[ A & 0 & 0 \ 0 & B & 0 \ 0 & 0 & C ]$

The statements

   a={2 2,
      4 4} ;
   b={6 6,
      8 8} ;
   c=block(a,b);

result in the matrix

         C             4 rows      4 cols    (numeric)

                    2         2         0         0
                    4         4         0         0
                    0         0         6         6
                    0         0         8         8

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