unbdb5(3)

Library Functions Manual

unbdb5(3)

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, integer incx2, complex, dimension(ldq1,) q1, integer ldq1, complex, dimension(ldq2,) q2, integer ldq2, complex, dimension(*) work, integer lwork, 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 is INTEGER
           The dimension of X1 and the number of rows in Q1. 0 <= M1.

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

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

          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 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 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 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.

Definition at line 154 of file cunbdb5.f.

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

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

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

          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 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 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 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.

Definition at line 154 of file dorbdb5.f.

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 '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 is INTEGER
           The dimension of X1 and the number of rows in Q1. 0 <= M1.

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

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

          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 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 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 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.

subroutine zunbdb5 (integer m1, integer m2, integer n, complex16, dimension() x1, integer incx1, complex16, dimension() x2, integer incx2, complex16, dimension(ldq1,) q1, integer ldq1, complex16, dimension(ldq2,) q2, integer ldq2, complex16, 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 is INTEGER
           The dimension of X1 and the number of rows in Q1. 0 <= M1.

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

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

          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 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 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 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.

Definition at line 154 of file zunbdb5.f.

Author

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