Man page - unbdb5(3)

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Manual

unbdb5

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cunbdb5 (integer m1, integer m2, integer n, complex,dimension(*) x1, integer incx1, complex, dimension(*) x2, integerincx2, complex, dimension(ldq1,*) q1, integer ldq1, complex,dimension(ldq2,*) q2, integer ldq2, complex, dimension(*) work, integerlwork, integer info)
subroutine dorbdb5 (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)
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, integerldq2, real, dimension(*) work, integer lwork, integer info)
subroutine zunbdb5 (integer m1, integer m2, integer n, complex*16,dimension(*) x1, integer incx1, complex*16, dimension(*) x2, integerincx2, complex*16, dimension(ldq1,*) q1, integer ldq1, complex*16,dimension(ldq2,*) q2, integer ldq2, complex*16, dimension(*) work,integer lwork, integer info)
Author

NAME

unbdb5 - {un,or}bdb5: step in uncsd2by1

SYNOPSIS

Functions

subroutine cunbdb5 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)
CUNBDB5
subroutine dorbdb5 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)
DORBDB5
subroutine sorbdb5 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)
SORBDB5
subroutine zunbdb5 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)
ZUNBDB5

Detailed Description

Function Documentation

subroutine cunbdb5 (integer m1, integer m2, integer n, complex,dimension(*) x1, integer incx1, complex, dimension(*) x2, integerincx2, complex, dimension(ldq1,*) q1, integer ldq1, complex,dimension(ldq2,*) q2, integer ldq2, complex, dimension(*) work, integerlwork, integer info)

CUNBDB5

Purpose:

CUNBDB5 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.

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 COMPLEX 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 COMPLEX 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 COMPLEX 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 COMPLEX 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 COMPLEX 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.

subroutine dorbdb5 (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)

DORBDB5

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’
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 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

Univ. of Colorado Denver

NAG Ltd.

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, integerldq2, 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 ’twice is enough’
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.

subroutine zunbdb5 (integer m1, integer m2, integer n, complex*16,dimension(*) x1, integer incx1, complex*16, dimension(*) x2, integerincx2, complex*16, dimension(ldq1,*) q1, integer ldq1, complex*16,dimension(ldq2,*) q2, integer ldq2, complex*16, dimension(*) work,integer lwork, integer info)

ZUNBDB5

Purpose:

ZUNBDB5 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.

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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 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.

Author

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