dorbdb5 (3p)

Name

dorbdb5 - mal columns of another column vector

Synopsis

SUBROUTINE DORBDB5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2,
WORK, LWORK, INFO)


INTEGER INCX1, INCX2, INFO, LDQ1, LDQ2, LWORK, M1, M2, N

DOUBLE PRECISION Q1(LDQ1,*), Q2(LDQ2,*), WORK(*), X1(*), X2(*)


SUBROUTINE  DORBDB5_64(M1,  M2,  N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,
LDQ2, WORK, LWORK, INFO)


INTEGER*8 INCX1, INCX2, INFO, LDQ1, LDQ2, LWORK, M1, M2, N

DOUBLE PRECISION Q1(LDQ1,*), Q2(LDQ2,*), WORK(*), X1(*), X2(*)


F95 INTERFACE
SUBROUTINE ORBDB5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,  LDQ2,
WORK, LWORK, INFO)


INTEGER :: M1, M2, N, INCX1, INCX2, LDQ1, LDQ2, LWORK, INFO

REAL(8), DIMENSION(:,:) :: Q1, Q2

REAL(8), DIMENSION(:) :: X1, X2, WORK


SUBROUTINE  ORBDB5_64(M1,  M2,  N,  X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,
LDQ2, WORK, LWORK, INFO)


INTEGER(8) :: M1, M2, N, INCX1, INCX2, LDQ1, LDQ2, LWORK, INFO

REAL(8), DIMENSION(:,:) :: Q1, Q2

REAL(8), DIMENSION(:) :: X1, X2, WORK


C INTERFACE
#include <sunperf.h>

void dorbdb5 (int m1, int m2, int n, double *x1, int incx1, double *x2,
int  incx2,  double  *q1, int ldq1, double *q2, int ldq2, int
*info);


void dorbdb5_64 (long m1, long m2, long n, double *x1, long incx1, dou-
ble  *x2, long incx2, double *q1, long ldq1, double *q2, long
ldq2, long *info);

Description

Oracle Solaris Studio Performance Library                          dorbdb5(3P)



NAME
       dorbdb5 - orthogonalize one column vector with respect to the orthonor-
       mal columns of another column vector


SYNOPSIS
       SUBROUTINE DORBDB5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2,
                 WORK, LWORK, INFO)


       INTEGER INCX1, INCX2, INFO, LDQ1, LDQ2, LWORK, M1, M2, N

       DOUBLE PRECISION Q1(LDQ1,*), Q2(LDQ2,*), WORK(*), X1(*), X2(*)


       SUBROUTINE  DORBDB5_64(M1,  M2,  N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,
                 LDQ2, WORK, LWORK, INFO)


       INTEGER*8 INCX1, INCX2, INFO, LDQ1, LDQ2, LWORK, M1, M2, N

       DOUBLE PRECISION Q1(LDQ1,*), Q2(LDQ2,*), WORK(*), X1(*), X2(*)


   F95 INTERFACE
       SUBROUTINE ORBDB5(M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,  LDQ2,
                 WORK, LWORK, INFO)


       INTEGER :: M1, M2, N, INCX1, INCX2, LDQ1, LDQ2, LWORK, INFO

       REAL(8), DIMENSION(:,:) :: Q1, Q2

       REAL(8), DIMENSION(:) :: X1, X2, WORK


       SUBROUTINE  ORBDB5_64(M1,  M2,  N,  X1, INCX1, X2, INCX2, Q1, LDQ1, Q2,
                 LDQ2, WORK, LWORK, INFO)


       INTEGER(8) :: M1, M2, N, INCX1, INCX2, LDQ1, LDQ2, LWORK, INFO

       REAL(8), DIMENSION(:,:) :: Q1, Q2

       REAL(8), DIMENSION(:) :: X1, X2, WORK


   C INTERFACE
       #include <sunperf.h>

       void dorbdb5 (int m1, int m2, int n, double *x1, int incx1, double *x2,
                 int  incx2,  double  *q1, int ldq1, double *q2, int ldq2, int
                 *info);


       void dorbdb5_64 (long m1, long m2, long n, double *x1, long incx1, dou-
                 ble  *x2, long incx2, double *q1, long ldq1, double *q2, long
                 ldq2, long *info);


PURPOSE
       dorbdb5 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" crite-
       rion,  then  some  other  vector  from  the  orthogonal  complement  is
       returned. This vector is chosen in an arbitrary but deterministic  way.



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


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


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


       X1 (input/output)
                 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 (input)
                 INCX1 is INTEGER
                 Increment for entries of X1.


       X2 (input/output)
                 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 (input)
                 INCX2 is INTEGER
                 Increment for entries of X2.


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


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


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


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


       WORK (output)
                 WORK is DOUBLE PRECISION array, dimension (LWORK)


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


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



                                  7 Nov 2015                       dorbdb5(3P)