TESTING/LIN/zunhr_col02.f(3)

NAME
TESTING/LIN/zunhr_col02.f

SYNOPSIS

  Functions/Subroutines
subroutine zunhr_col02 (m, n, mb1, nb1, nb2, result)
ZUNHR_COL02

Function/Subroutine Documentation

  subroutine zunhr_col02 (integer m, integer n, integer mb1, integer nb1, integer nb2, double precision, dimension(6) result)

ZUNHR_COL02

Purpose:

     ZUNHR_COL02 tests ZUNGTSQR_ROW and ZUNHR_COL inside ZGETSQRHRT
     (which calls ZLATSQR, ZUNGTSQR_ROW and ZUNHR_COL) using ZGEMQRT.
     Therefore, ZLATSQR (part of ZGEQR), ZGEMQRT (part of ZGEMQR)
     have to be tested before this test.

Parameters
    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.

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 119 of file zunhr_col02.f.

Author

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