sorbdb5.f(3)

NAME
sorbdb5.f -

SYNOPSIS

  Functions/Subroutines

subroutine sorbdb5 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
SORBDB5

Function/Subroutine Documentation

  subroutine sorbdb5 (integerM1, integerM2, integerN, real, dimension(*)X1, integerINCX1, real, dimension(*)X2, integerINCX2, real, dimension(ldq1,*)Q1, integerLDQ1, real, dimension(ldq2,*)Q2, integerLDQ2, real, dimension(*)WORK, integerLWORK, integerINFO)

SORBDB5

Purpose:

 SORBDB5 orthogonalizes the column vector
      X = [ X1 ]
          [ X2 ]
 with respect to the columns of
      Q = [ Q1 ] .
          [ Q2 ]
 The columns of Q must be orthonormal.

 If the projection is zero according to Kahan's "twice is enough"
 criterion, then some other vector from the orthogonal complement
 is returned. This vector is chosen in an arbitrary but deterministic
 way..fi

Parameters:
    M1

              M1 is INTEGER
               The dimension of X1 and the number of rows in Q1. 0 <= M1.

    M2

              M2 is INTEGER
               The dimension of X2 and the number of rows in Q2. 0 <= M2.

    N

              N is INTEGER
               The number of columns in Q1 and Q2. 0 <= N.

    X1

              X1 is REAL array, dimension (M1)
               On entry, the top part of the vector to be orthogonalized.
               On exit, the top part of the projected vector.

    INCX1

              INCX1 is INTEGER
               Increment for entries of X1.

    X2

              X2 is REAL array, dimension (M2)
               On entry, the bottom part of the vector to be
               orthogonalized. On exit, the bottom part of the projected
               vector.

    INCX2

              INCX2 is INTEGER
               Increment for entries of X2.

    Q1

              Q1 is REAL array, dimension (LDQ1, N)
               The top part of the orthonormal basis matrix.

    LDQ1

              LDQ1 is INTEGER
               The leading dimension of Q1. LDQ1 >= M1.

    Q2

              Q2 is REAL array, dimension (LDQ2, N)
               The bottom part of the orthonormal basis matrix.

    LDQ2

              LDQ2 is INTEGER
               The leading dimension of Q2. LDQ2 >= M2.

    WORK

              WORK is REAL array, dimension (LWORK)

    LWORK

              LWORK is INTEGER
               The dimension of the array WORK. LWORK >= N.

    INFO

              INFO is INTEGER
               = 0:  successful exit.
               < 0:  if INFO = -i, the i-th argument had an illegal value.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    July 2012

Definition at line 156 of file sorbdb5.f.

Author

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