Man page - upgtr(3)

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Manual

upgtr

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cupgtr (character uplo, integer n, complex, dimension( * ) ap,complex, dimension( * ) tau, complex, dimension( ldq, * ) q, integerldq, complex, dimension( * ) work, integer info)
subroutine dopgtr (character uplo, integer n, double precision, dimension(* ) ap, double precision, dimension( * ) tau, double precision,dimension( ldq, * ) q, integer ldq, double precision, dimension( * )work, integer info)
subroutine sopgtr (character uplo, integer n, real, dimension( * ) ap,real, dimension( * ) tau, real, dimension( ldq, * ) q, integer ldq,real, dimension( * ) work, integer info)
subroutine zupgtr (character uplo, integer n, complex*16, dimension( * )ap, complex*16, dimension( * ) tau, complex*16, dimension( ldq, * ) q,integer ldq, complex*16, dimension( * ) work, integer info)
Author

NAME

upgtr - {up,op}gtr: generate Q from hetrd

SYNOPSIS

Functions

subroutine cupgtr (uplo, n, ap, tau, q, ldq, work, info)
CUPGTR
subroutine dopgtr (uplo, n, ap, tau, q, ldq, work, info)
DOPGTR
subroutine sopgtr (uplo, n, ap, tau, q, ldq, work, info)
SOPGTR
subroutine zupgtr (uplo, n, ap, tau, q, ldq, work, info)
ZUPGTR

Detailed Description

Function Documentation

subroutine cupgtr (character uplo, integer n, complex, dimension( * ) ap,complex, dimension( * ) tau, complex, dimension( ldq, * ) q, integerldq, complex, dimension( * ) work, integer info)

CUPGTR

Purpose:

CUPGTR generates a complex unitary matrix Q which is defined as the
product of n-1 elementary reflectors H(i) of order n, as returned by
CHPTRD using packed storage:

if UPLO = ā€™Uā€™, Q = H(n-1) . . . H(2) H(1),

if UPLO = ā€™Lā€™, Q = H(1) H(2) . . . H(n-1).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangular packed storage used in previous
call to CHPTRD;
= ā€™Lā€™: Lower triangular packed storage used in previous
call to CHPTRD.

N

N is INTEGER
The order of the matrix Q. N >= 0.

AP

AP is COMPLEX array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by CHPTRD.

TAU

TAU is COMPLEX array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by CHPTRD.

Q

Q is COMPLEX array, dimension (LDQ,N)
The N-by-N unitary matrix Q.

LDQ

LDQ is INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).

WORK

WORK is COMPLEX array, dimension (N-1)

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 dopgtr (character uplo, integer n, double precision, dimension(* ) ap, double precision, dimension( * ) tau, double precision,dimension( ldq, * ) q, integer ldq, double precision, dimension( * )work, integer info)

DOPGTR

Purpose:

DOPGTR generates a real orthogonal matrix Q which is defined as the
product of n-1 elementary reflectors H(i) of order n, as returned by
DSPTRD using packed storage:

if UPLO = ā€™Uā€™, Q = H(n-1) . . . H(2) H(1),

if UPLO = ā€™Lā€™, Q = H(1) H(2) . . . H(n-1).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangular packed storage used in previous
call to DSPTRD;
= ā€™Lā€™: Lower triangular packed storage used in previous
call to DSPTRD.

N

N is INTEGER
The order of the matrix Q. N >= 0.

AP

AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by DSPTRD.

TAU

TAU is DOUBLE PRECISION array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by DSPTRD.

Q

Q is DOUBLE PRECISION array, dimension (LDQ,N)
The N-by-N orthogonal matrix Q.

LDQ

LDQ is INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).

WORK

WORK is DOUBLE PRECISION array, dimension (N-1)

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 sopgtr (character uplo, integer n, real, dimension( * ) ap,real, dimension( * ) tau, real, dimension( ldq, * ) q, integer ldq,real, dimension( * ) work, integer info)

SOPGTR

Purpose:

SOPGTR generates a real orthogonal matrix Q which is defined as the
product of n-1 elementary reflectors H(i) of order n, as returned by
SSPTRD using packed storage:

if UPLO = ā€™Uā€™, Q = H(n-1) . . . H(2) H(1),

if UPLO = ā€™Lā€™, Q = H(1) H(2) . . . H(n-1).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangular packed storage used in previous
call to SSPTRD;
= ā€™Lā€™: Lower triangular packed storage used in previous
call to SSPTRD.

N

N is INTEGER
The order of the matrix Q. N >= 0.

AP

AP is REAL array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by SSPTRD.

TAU

TAU is REAL array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by SSPTRD.

Q

Q is REAL array, dimension (LDQ,N)
The N-by-N orthogonal matrix Q.

LDQ

LDQ is INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).

WORK

WORK is REAL array, dimension (N-1)

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 zupgtr (character uplo, integer n, complex*16, dimension( * )ap, complex*16, dimension( * ) tau, complex*16, dimension( ldq, * ) q,integer ldq, complex*16, dimension( * ) work, integer info)

ZUPGTR

Purpose:

ZUPGTR generates a complex unitary matrix Q which is defined as the
product of n-1 elementary reflectors H(i) of order n, as returned by
ZHPTRD using packed storage:

if UPLO = ā€™Uā€™, Q = H(n-1) . . . H(2) H(1),

if UPLO = ā€™Lā€™, Q = H(1) H(2) . . . H(n-1).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangular packed storage used in previous
call to ZHPTRD;
= ā€™Lā€™: Lower triangular packed storage used in previous
call to ZHPTRD.

N

N is INTEGER
The order of the matrix Q. N >= 0.

AP

AP is COMPLEX*16 array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by ZHPTRD.

TAU

TAU is COMPLEX*16 array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZHPTRD.

Q

Q is COMPLEX*16 array, dimension (LDQ,N)
The N-by-N unitary matrix Q.

LDQ

LDQ is INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).

WORK

WORK is COMPLEX*16 array, dimension (N-1)

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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