ZUNHR_COL01 tests ZUNGTSQR and ZUNHR_COL using ZLATSQR, ZGEMQRT.


 Therefore, ZLATSQR (part of ZGEQR), ZGEMQRT (part of ZGEMQR)


 have to be tested before this test.

M

          M is INTEGER


          Number of rows in test matrix.

N

          N is INTEGER


          Number of columns in test matrix.

MB1

          MB1 is INTEGER


          Number of row in row block in an input test matrix.

NB1

          NB1 is INTEGER


          Number of columns in column block an input test matrix.

NB2

          NB2 is INTEGER


          Number of columns in column block in an output test matrix.

RESULT

          RESULT is DOUBLE PRECISION array, dimension (6)


          Results of each of the six tests below.


            A is a m-by-n test input matrix to be factored.


            so that A = Q_gr * ( R )


                               ( 0 ),


            Q_qr is an implicit m-by-m unitary Q matrix, the result


            of factorization in blocked WY-representation,


            stored in ZGEQRT output format.


            R is a n-by-n upper-triangular matrix,


            0 is a (m-n)-by-n zero matrix,


            Q is an explicit m-by-m unitary matrix Q = Q_gr * I


            C is an m-by-n random matrix,


            D is an n-by-m random matrix.


          The six tests are:


          RESULT(1) = |R - (Q**H) * A| / ( eps * m * |A| )


            is equivalent to test for | A - Q * R | / (eps * m * |A|),


          RESULT(2) = |I - (Q**H) * Q| / ( eps * m ),


          RESULT(3) = | Q_qr * C - Q * C | / (eps * m * |C|),


          RESULT(4) = | (Q_gr**H) * C - (Q**H) * C | / (eps * m * |C|)


          RESULT(5) = | D * Q_qr - D * Q | / (eps * m * |D|)


          RESULT(6) = | D * (Q_qr**H) - D * (Q**H) | / (eps * m * |D|),


          where:


            Q_qr * C, (Q_gr**H) * C, D * Q_qr, D * (Q_qr**H) are


            computed using ZGEMQRT,


            Q * C, (Q**H) * C, D * Q, D * (Q**H)  are


            computed using ZGEMM.

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