cunhr_col01.f - Man Page

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

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.