TESTING/LIN/cunhr_col01.f(3)

NAME
TESTING/LIN/cunhr_col01.f

SYNOPSIS

  Functions/Subroutines
subroutine cunhr_col01 (m, n, mb1, nb1, nb2, result)
CUNHR_COL01

Function/Subroutine Documentation

  subroutine cunhr_col01 (integer m, integer n, integer mb1, integer nb1, integer nb2, real, dimension(6) result)

CUNHR_COL01

Purpose:

     CUNHR_COL01 tests CUNGTSQR and CUNHR_COL using CLATSQR, CGEMQRT.
     Therefore, CLATSQR (part of CGEQR), CGEMQRT (part of CGEMQR)
     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 REAL 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 CGEQRT 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 CGEMQRT,
                Q * C, (Q**H) * C, D * Q, D * (Q**H)  are
                computed using CGEMM.

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 118 of file cunhr_col01.f.

Author

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