sorbdb5.f man page

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 .SH "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

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

sorbdb5(3) is an alias of sorbdb5.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK