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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sorbdb5.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sorbdb5.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/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 (integer m1, integer m2, integer n, real, dimension(*) x1, integer incx1, real, dimension(*) x2, integer incx2, real, dimension(ldq1,*) q1, integer ldq1, real, dimension(ldq2,*) q2, integer ldq2, real, dimension(*) work, integer lwork, integer info)

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 
!> criterion, then some other vector from the orthogonal complement
!> is returned. This vector is chosen in an arbitrary but deterministic
!> way.
!>
!>

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.

Definition at line 154 of file sorbdb5.f.

Author

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Version 3.12.0 LAPACK