zunmbr.f.html
来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 313 行 · 第 1/2 页
HTML
313 行
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
<title>zunmbr.f</title>
<meta name="generator" content="emacs 21.3.1; htmlfontify 0.20">
<style type="text/css"><!--
body { background: rgb(255, 255, 255); color: rgb(0, 0, 0); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: none; }
span.default { background: rgb(255, 255, 255); color: rgb(0, 0, 0); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: none; }
span.default a { background: rgb(255, 255, 255); color: rgb(0, 0, 0); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: underline; }
span.string { color: rgb(188, 143, 143); background: rgb(255, 255, 255); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: none; }
span.string a { color: rgb(188, 143, 143); background: rgb(255, 255, 255); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: underline; }
span.comment { color: rgb(178, 34, 34); background: rgb(255, 255, 255); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: none; }
span.comment a { color: rgb(178, 34, 34); background: rgb(255, 255, 255); font-style: normal; font-weight: 500; font-stretch: normal; font-family: adobe-courier; font-size: 11pt; text-decoration: underline; }
--></style>
</head>
<body>
<pre>
SUBROUTINE <a name="ZUNMBR.1"></a><a href="zunmbr.f.html#ZUNMBR.1">ZUNMBR</a>( VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C,
$ LDC, WORK, LWORK, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment"> Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment"> November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Scalar Arguments ..
</span> CHARACTER SIDE, TRANS, VECT
INTEGER INFO, K, LDA, LDC, LWORK, M, N
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Array Arguments ..
</span> COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Purpose
</span><span class="comment">*</span><span class="comment"> =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If VECT = 'Q', <a name="ZUNMBR.19"></a><a href="zunmbr.f.html#ZUNMBR.1">ZUNMBR</a> overwrites the general complex M-by-N matrix C
</span><span class="comment">*</span><span class="comment"> with
</span><span class="comment">*</span><span class="comment"> SIDE = 'L' SIDE = 'R'
</span><span class="comment">*</span><span class="comment"> TRANS = 'N': Q * C C * Q
</span><span class="comment">*</span><span class="comment"> TRANS = 'C': Q**H * C C * Q**H
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If VECT = 'P', <a name="ZUNMBR.25"></a><a href="zunmbr.f.html#ZUNMBR.1">ZUNMBR</a> overwrites the general complex M-by-N matrix C
</span><span class="comment">*</span><span class="comment"> with
</span><span class="comment">*</span><span class="comment"> SIDE = 'L' SIDE = 'R'
</span><span class="comment">*</span><span class="comment"> TRANS = 'N': P * C C * P
</span><span class="comment">*</span><span class="comment"> TRANS = 'C': P**H * C C * P**H
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Here Q and P**H are the unitary matrices determined by <a name="ZGEBRD.31"></a><a href="zgebrd.f.html#ZGEBRD.1">ZGEBRD</a> when
</span><span class="comment">*</span><span class="comment"> reducing a complex matrix A to bidiagonal form: A = Q * B * P**H. Q
</span><span class="comment">*</span><span class="comment"> and P**H are defined as products of elementary reflectors H(i) and
</span><span class="comment">*</span><span class="comment"> G(i) respectively.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Thus nq is the
</span><span class="comment">*</span><span class="comment"> order of the unitary matrix Q or P**H that is applied.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If VECT = 'Q', A is assumed to have been an NQ-by-K matrix:
</span><span class="comment">*</span><span class="comment"> if nq >= k, Q = H(1) H(2) . . . H(k);
</span><span class="comment">*</span><span class="comment"> if nq < k, Q = H(1) H(2) . . . H(nq-1).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If VECT = 'P', A is assumed to have been a K-by-NQ matrix:
</span><span class="comment">*</span><span class="comment"> if k < nq, P = G(1) G(2) . . . G(k);
</span><span class="comment">*</span><span class="comment"> if k >= nq, P = G(1) G(2) . . . G(nq-1).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Arguments
</span><span class="comment">*</span><span class="comment"> =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> VECT (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment"> = 'Q': apply Q or Q**H;
</span><span class="comment">*</span><span class="comment"> = 'P': apply P or P**H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> SIDE (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment"> = 'L': apply Q, Q**H, P or P**H from the Left;
</span><span class="comment">*</span><span class="comment"> = 'R': apply Q, Q**H, P or P**H from the Right.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TRANS (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment"> = 'N': No transpose, apply Q or P;
</span><span class="comment">*</span><span class="comment"> = 'C': Conjugate transpose, apply Q**H or P**H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> M (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The number of rows of the matrix C. M >= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> N (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The number of columns of the matrix C. N >= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> K (input) INTEGER
</span><span class="comment">*</span><span class="comment"> If VECT = 'Q', the number of columns in the original
</span><span class="comment">*</span><span class="comment"> matrix reduced by <a name="ZGEBRD.70"></a><a href="zgebrd.f.html#ZGEBRD.1">ZGEBRD</a>.
</span><span class="comment">*</span><span class="comment"> If VECT = 'P', the number of rows in the original
</span><span class="comment">*</span><span class="comment"> matrix reduced by <a name="ZGEBRD.72"></a><a href="zgebrd.f.html#ZGEBRD.1">ZGEBRD</a>.
</span><span class="comment">*</span><span class="comment"> K >= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> A (input) COMPLEX*16 array, dimension
</span><span class="comment">*</span><span class="comment"> (LDA,min(nq,K)) if VECT = 'Q'
</span><span class="comment">*</span><span class="comment"> (LDA,nq) if VECT = 'P'
</span><span class="comment">*</span><span class="comment"> The vectors which define the elementary reflectors H(i) and
</span><span class="comment">*</span><span class="comment"> G(i), whose products determine the matrices Q and P, as
</span><span class="comment">*</span><span class="comment"> returned by <a name="ZGEBRD.80"></a><a href="zgebrd.f.html#ZGEBRD.1">ZGEBRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDA (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The leading dimension of the array A.
</span><span class="comment">*</span><span class="comment"> If VECT = 'Q', LDA >= max(1,nq);
</span><span class="comment">*</span><span class="comment"> if VECT = 'P', LDA >= max(1,min(nq,K)).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> TAU (input) COMPLEX*16 array, dimension (min(nq,K))
</span><span class="comment">*</span><span class="comment"> TAU(i) must contain the scalar factor of the elementary
</span><span class="comment">*</span><span class="comment"> reflector H(i) or G(i) which determines Q or P, as returned
</span><span class="comment">*</span><span class="comment"> by <a name="ZGEBRD.90"></a><a href="zgebrd.f.html#ZGEBRD.1">ZGEBRD</a> in the array argument TAUQ or TAUP.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> C (input/output) COMPLEX*16 array, dimension (LDC,N)
</span><span class="comment">*</span><span class="comment"> On entry, the M-by-N matrix C.
</span><span class="comment">*</span><span class="comment"> On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q
</span><span class="comment">*</span><span class="comment"> or P*C or P**H*C or C*P or C*P**H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LDC (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The leading dimension of the array C. LDC >= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))
</span><span class="comment">*</span><span class="comment"> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> LWORK (input) INTEGER
</span><span class="comment">*</span><span class="comment"> The dimension of the array WORK.
</span><span class="comment">*</span><span class="comment"> If SIDE = 'L', LWORK >= max(1,N);
</span><span class="comment">*</span><span class="comment"> if SIDE = 'R', LWORK >= max(1,M);
</span><span class="comment">*</span><span class="comment"> if N = 0 or M = 0, LWORK >= 1.
</span><span class="comment">*</span><span class="comment"> For optimum performance LWORK >= max(1,N*NB) if SIDE = 'L',
</span><span class="comment">*</span><span class="comment"> and LWORK >= max(1,M*NB) if SIDE = 'R', where NB is the
</span><span class="comment">*</span><span class="comment"> optimal blocksize. (NB = 0 if M = 0 or N = 0.)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> If LWORK = -1, then a workspace query is assumed; the routine
</span><span class="comment">*</span><span class="comment"> only calculates the optimal size of the WORK array, returns
</span><span class="comment">*</span><span class="comment"> this value as the first entry of the WORK array, and no error
</span><span class="comment">*</span><span class="comment"> message related to LWORK is issued by <a name="XERBLA.115"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> INFO (output) INTEGER
</span><span class="comment">*</span><span class="comment"> = 0: successful exit
</span><span class="comment">*</span><span class="comment"> < 0: if INFO = -i, the i-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> .. Local Scalars ..
</span> LOGICAL APPLYQ, LEFT, LQUERY, NOTRAN
CHARACTER TRANST
INTEGER I1, I2, IINFO, LWKOPT, MI, NB, NI, NQ, NW
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Functions ..
</span> LOGICAL <a name="LSAME.129"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
INTEGER <a name="ILAENV.130"></a><a href="hfy-index.html#ILAENV">ILAENV</a>
EXTERNAL <a name="LSAME.131"></a><a href="lsame.f.html#LSAME.1">LSAME</a>, <a name="ILAENV.131"></a><a href="hfy-index.html#ILAENV">ILAENV</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. External Subroutines ..
</span> EXTERNAL <a name="XERBLA.134"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>, <a name="ZUNMLQ.134"></a><a href="zunmlq.f.html#ZUNMLQ.1">ZUNMLQ</a>, <a name="ZUNMQR.134"></a><a href="zunmqr.f.html#ZUNMQR.1">ZUNMQR</a>
<span class="comment">*</span><span class="comment"> ..
</span><span class="comment">*</span><span class="comment"> .. Intrinsic Functions ..
</span> INTRINSIC MAX, MIN
<span class="comment">*</span><span class="comment"> ..
⌨️ 快捷键说明
复制代码Ctrl + C
搜索代码Ctrl + F
全屏模式F11
增大字号Ctrl + =
减小字号Ctrl + -
显示快捷键?