--- rpl/lapack/lapack/zhbtrd.f 2010/12/21 13:53:45 1.7
+++ rpl/lapack/lapack/zhbtrd.f 2011/11/21 20:43:11 1.8
@@ -1,10 +1,172 @@
+*> \brief \b ZHBTRD
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZHBTRD + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZHBTRD( VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ,
+* WORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO, VECT
+* INTEGER INFO, KD, LDAB, LDQ, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION D( * ), E( * )
+* COMPLEX*16 AB( LDAB, * ), Q( LDQ, * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZHBTRD reduces a complex Hermitian band matrix A to real symmetric
+*> tridiagonal form T by a unitary similarity transformation:
+*> Q**H * A * Q = T.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] VECT
+*> \verbatim
+*> VECT is CHARACTER*1
+*> = 'N': do not form Q;
+*> = 'V': form Q;
+*> = 'U': update a matrix X, by forming X*Q.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KD
+*> \verbatim
+*> KD is INTEGER
+*> The number of superdiagonals of the matrix A if UPLO = 'U',
+*> or the number of subdiagonals if UPLO = 'L'. KD >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*> AB is COMPLEX*16 array, dimension (LDAB,N)
+*> On entry, the upper or lower triangle of the Hermitian band
+*> matrix A, stored in the first KD+1 rows of the array. The
+*> j-th column of A is stored in the j-th column of the array AB
+*> as follows:
+*> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
+*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
+*> On exit, the diagonal elements of AB are overwritten by the
+*> diagonal elements of the tridiagonal matrix T; if KD > 0, the
+*> elements on the first superdiagonal (if UPLO = 'U') or the
+*> first subdiagonal (if UPLO = 'L') are overwritten by the
+*> off-diagonal elements of T; the rest of AB is overwritten by
+*> values generated during the reduction.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= KD+1.
+*> \endverbatim
+*>
+*> \param[out] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (N)
+*> The diagonal elements of the tridiagonal matrix T.
+*> \endverbatim
+*>
+*> \param[out] E
+*> \verbatim
+*> E is DOUBLE PRECISION array, dimension (N-1)
+*> The off-diagonal elements of the tridiagonal matrix T:
+*> E(i) = T(i,i+1) if UPLO = 'U'; E(i) = T(i+1,i) if UPLO = 'L'.
+*> \endverbatim
+*>
+*> \param[in,out] Q
+*> \verbatim
+*> Q is COMPLEX*16 array, dimension (LDQ,N)
+*> On entry, if VECT = 'U', then Q must contain an N-by-N
+*> matrix X; if VECT = 'N' or 'V', then Q need not be set.
+*>
+*> On exit:
+*> if VECT = 'V', Q contains the N-by-N unitary matrix Q;
+*> if VECT = 'U', Q contains the product X*Q;
+*> if VECT = 'N', the array Q is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDQ
+*> \verbatim
+*> LDQ is INTEGER
+*> The leading dimension of the array Q.
+*> LDQ >= 1, and LDQ >= N if VECT = 'V' or 'U'.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is COMPLEX*16 array, dimension (N)
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> Modified by Linda Kaufman, Bell Labs.
+*> \endverbatim
+*>
+* =====================================================================
SUBROUTINE ZHBTRD( VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ,
$ WORK, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER UPLO, VECT
@@ -15,80 +177,6 @@
COMPLEX*16 AB( LDAB, * ), Q( LDQ, * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* ZHBTRD reduces a complex Hermitian band matrix A to real symmetric
-* tridiagonal form T by a unitary similarity transformation:
-* Q**H * A * Q = T.
-*
-* Arguments
-* =========
-*
-* VECT (input) CHARACTER*1
-* = 'N': do not form Q;
-* = 'V': form Q;
-* = 'U': update a matrix X, by forming X*Q.
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* KD (input) INTEGER
-* The number of superdiagonals of the matrix A if UPLO = 'U',
-* or the number of subdiagonals if UPLO = 'L'. KD >= 0.
-*
-* AB (input/output) COMPLEX*16 array, dimension (LDAB,N)
-* On entry, the upper or lower triangle of the Hermitian band
-* matrix A, stored in the first KD+1 rows of the array. The
-* j-th column of A is stored in the j-th column of the array AB
-* as follows:
-* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
-* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
-* On exit, the diagonal elements of AB are overwritten by the
-* diagonal elements of the tridiagonal matrix T; if KD > 0, the
-* elements on the first superdiagonal (if UPLO = 'U') or the
-* first subdiagonal (if UPLO = 'L') are overwritten by the
-* off-diagonal elements of T; the rest of AB is overwritten by
-* values generated during the reduction.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= KD+1.
-*
-* D (output) DOUBLE PRECISION array, dimension (N)
-* The diagonal elements of the tridiagonal matrix T.
-*
-* E (output) DOUBLE PRECISION array, dimension (N-1)
-* The off-diagonal elements of the tridiagonal matrix T:
-* E(i) = T(i,i+1) if UPLO = 'U'; E(i) = T(i+1,i) if UPLO = 'L'.
-*
-* Q (input/output) COMPLEX*16 array, dimension (LDQ,N)
-* On entry, if VECT = 'U', then Q must contain an N-by-N
-* matrix X; if VECT = 'N' or 'V', then Q need not be set.
-*
-* On exit:
-* if VECT = 'V', Q contains the N-by-N unitary matrix Q;
-* if VECT = 'U', Q contains the product X*Q;
-* if VECT = 'N', the array Q is not referenced.
-*
-* LDQ (input) INTEGER
-* The leading dimension of the array Q.
-* LDQ >= 1, and LDQ >= N if VECT = 'V' or 'U'.
-*
-* WORK (workspace) COMPLEX*16 array, dimension (N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* Further Details
-* ===============
-*
-* Modified by Linda Kaufman, Bell Labs.
-*
* =====================================================================
*
* .. Parameters ..