dorbdb6.f - Man Page

SRC/dorbdb6.f

Synopsis

Functions/Subroutines

subroutine dorbdb6 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)
DORBDB6

Function/Subroutine Documentation

subroutine dorbdb6 (integer m1, integer m2, integer n, double precision, dimension(*) x1, integer incx1, double precision, dimension(*) x2, integer incx2, double precision, dimension(ldq1,*) q1, integer ldq1, double precision, dimension(ldq2,*) q2, integer ldq2, double precision, dimension(*) work, integer lwork, integer info)

DORBDB6

Purpose:

``` DORBDB6 orthogonalizes the column vector
X = [ X1 ]
[ X2 ]
with respect to the columns of
Q = [ Q1 ] .
[ Q2 ]
The columns of Q must be orthonormal. The orthogonalized vector will
be zero if and only if it lies entirely in the range of Q.

The projection is computed with at most two iterations of the
classical Gram-Schmidt algorithm, see
* L. Giraud, J. Langou, M. Rozložník. 'On the round-off error
analysis of the Gram-Schmidt algorithm with reorthogonalization.'
2002. CERFACS Technical Report No. TR/PA/02/33. URL:
https://www.cerfacs.fr/algor/reports/2002/TR_PA_02_33.pdf```
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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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

NAG Ltd.

Definition at line 157 of file dorbdb6.f.

Author

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Referenced By

The man page dorbdb6(3) is an alias of dorbdb6.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK