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zgbbrd.f(3) LAPACK zgbbrd.f(3)

NAME

zgbbrd.f -

SYNOPSIS

Functions/Subroutines


subroutine zgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC, WORK, RWORK, INFO)
ZGBBRD

Function/Subroutine Documentation

subroutine zgbbrd (characterVECT, integerM, integerN, integerNCC, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )D, double precision, dimension( * )E, complex*16, dimension( ldq, * )Q, integerLDQ, complex*16, dimension( ldpt, * )PT, integerLDPT, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK, double precision, dimension( * )RWORK, integerINFO)

ZGBBRD

Purpose:


ZGBBRD reduces a complex general m-by-n band matrix A to real upper
bidiagonal form B by a unitary transformation: Q**H * A * P = B.
The routine computes B, and optionally forms Q or P**H, or computes
Q**H*C for a given matrix C.

Parameters:

VECT


VECT is CHARACTER*1
Specifies whether or not the matrices Q and P**H are to be
formed.
= 'N': do not form Q or P**H;
= 'Q': form Q only;
= 'P': form P**H only;
= 'B': form both.

M


M is INTEGER
The number of rows of the matrix A. M >= 0.

N


N is INTEGER
The number of columns of the matrix A. N >= 0.

NCC


NCC is INTEGER
The number of columns of the matrix C. NCC >= 0.

KL


KL is INTEGER
The number of subdiagonals of the matrix A. KL >= 0.

KU


KU is INTEGER
The number of superdiagonals of the matrix A. KU >= 0.

AB


AB is COMPLEX*16 array, dimension (LDAB,N)
On entry, the m-by-n band matrix A, stored in rows 1 to
KL+KU+1. The j-th column of A is stored in the j-th column of
the array AB as follows:
AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl).
On exit, A is overwritten by values generated during the
reduction.

LDAB


LDAB is INTEGER
The leading dimension of the array A. LDAB >= KL+KU+1.

D


D is DOUBLE PRECISION array, dimension (min(M,N))
The diagonal elements of the bidiagonal matrix B.

E


E is DOUBLE PRECISION array, dimension (min(M,N)-1)
The superdiagonal elements of the bidiagonal matrix B.

Q


Q is COMPLEX*16 array, dimension (LDQ,M)
If VECT = 'Q' or 'B', the m-by-m unitary matrix Q.
If VECT = 'N' or 'P', the array Q is not referenced.

LDQ


LDQ is INTEGER
The leading dimension of the array Q.
LDQ >= max(1,M) if VECT = 'Q' or 'B'; LDQ >= 1 otherwise.

PT


PT is COMPLEX*16 array, dimension (LDPT,N)
If VECT = 'P' or 'B', the n-by-n unitary matrix P'.
If VECT = 'N' or 'Q', the array PT is not referenced.

LDPT


LDPT is INTEGER
The leading dimension of the array PT.
LDPT >= max(1,N) if VECT = 'P' or 'B'; LDPT >= 1 otherwise.

C


C is COMPLEX*16 array, dimension (LDC,NCC)
On entry, an m-by-ncc matrix C.
On exit, C is overwritten by Q**H*C.
C is not referenced if NCC = 0.

LDC


LDC is INTEGER
The leading dimension of the array C.
LDC >= max(1,M) if NCC > 0; LDC >= 1 if NCC = 0.

WORK


WORK is COMPLEX*16 array, dimension (max(M,N))

RWORK


RWORK is DOUBLE PRECISION array, dimension (max(M,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:

November 2011

Definition at line 193 of file zgbbrd.f.

Author

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Tue Sep 25 2012 Version 3.4.2