clarfx.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 665 行 · 第 1/3 页

HTML
665 行
字号
123
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
 <head>
  <title>clarfx.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="CLARFX.1"></a><a href="clarfx.f.html#CLARFX.1">CLARFX</a>( SIDE, M, N, V, TAU, C, LDC, WORK )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK auxiliary 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
      INTEGER            LDC, M, N
      COMPLEX            TAU
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      COMPLEX            C( LDC, * ), V( * ), 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">  <a name="CLARFX.19"></a><a href="clarfx.f.html#CLARFX.1">CLARFX</a> applies a complex elementary reflector H to a complex m by n
</span><span class="comment">*</span><span class="comment">  matrix C, from either the left or the right. H is represented in the
</span><span class="comment">*</span><span class="comment">  form
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        H = I - tau * v * v'
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  where tau is a complex scalar and v is a complex vector.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  If tau = 0, then H is taken to be the unit matrix
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  This version uses inline code if H has order &lt; 11.
</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">  SIDE    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'L': form  H * C
</span><span class="comment">*</span><span class="comment">          = 'R': form  C * 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.
</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.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  V       (input) COMPLEX array, dimension (M) if SIDE = 'L'
</span><span class="comment">*</span><span class="comment">                                        or (N) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">          The vector v in the representation of H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TAU     (input) COMPLEX
</span><span class="comment">*</span><span class="comment">          The value tau in the representation of H.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input/output) COMPLEX 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 the matrix H * C if SIDE = 'L',
</span><span class="comment">*</span><span class="comment">          or C * H if SIDE = 'R'.
</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. LDA &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  WORK    (workspace) COMPLEX array, dimension (N) if SIDE = 'L'
</span><span class="comment">*</span><span class="comment">                                            or (M) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">          WORK is not referenced if H has order &lt; 11.
</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">     .. Parameters ..
</span>      COMPLEX            ZERO, ONE
      PARAMETER          ( ZERO = ( 0.0E+0, 0.0E+0 ),
     $                   ONE = ( 1.0E+0, 0.0E+0 ) )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      INTEGER            J
      COMPLEX            SUM, T1, T10, T2, T3, T4, T5, T6, T7, T8, T9,
     $                   V1, V10, V2, V3, V4, V5, V6, V7, V8, V9
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Functions ..
</span>      LOGICAL            <a name="LSAME.76"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
      EXTERNAL           <a name="LSAME.77"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Subroutines ..
</span>      EXTERNAL           CGEMV, CGERC
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          CONJG
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</span>      IF( TAU.EQ.ZERO )
     $   RETURN
      IF( <a name="LSAME.89"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( SIDE, <span class="string">'L'</span> ) ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Form  H * C, where H has order m.
</span><span class="comment">*</span><span class="comment">
</span>         GO TO ( 10, 30, 50, 70, 90, 110, 130, 150,
     $           170, 190 )M
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Code for general M
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        w := C'*v
</span><span class="comment">*</span><span class="comment">
</span>         CALL CGEMV( <span class="string">'Conjugate transpose'</span>, M, N, ONE, C, LDC, V, 1,
     $               ZERO, WORK, 1 )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        C := C - tau * v * w'
</span><span class="comment">*</span><span class="comment">
</span>         CALL CGERC( M, N, -TAU, V, 1, WORK, 1, C, LDC )
         GO TO 410
   10    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 1 x 1 Householder
</span><span class="comment">*</span><span class="comment">
</span>         T1 = ONE - TAU*V( 1 )*CONJG( V( 1 ) )
         DO 20 J = 1, N
            C( 1, J ) = T1*C( 1, J )
   20    CONTINUE
         GO TO 410
   30    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 2 x 2 Householder
</span><span class="comment">*</span><span class="comment">
</span>         V1 = CONJG( V( 1 ) )
         T1 = TAU*CONJG( V1 )
         V2 = CONJG( V( 2 ) )
         T2 = TAU*CONJG( V2 )
         DO 40 J = 1, N
            SUM = V1*C( 1, J ) + V2*C( 2, J )
            C( 1, J ) = C( 1, J ) - SUM*T1
            C( 2, J ) = C( 2, J ) - SUM*T2
   40    CONTINUE
         GO TO 410
   50    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 3 x 3 Householder
</span><span class="comment">*</span><span class="comment">
</span>         V1 = CONJG( V( 1 ) )
         T1 = TAU*CONJG( V1 )
         V2 = CONJG( V( 2 ) )
         T2 = TAU*CONJG( V2 )
         V3 = CONJG( V( 3 ) )
         T3 = TAU*CONJG( V3 )
         DO 60 J = 1, N
            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J )
            C( 1, J ) = C( 1, J ) - SUM*T1
            C( 2, J ) = C( 2, J ) - SUM*T2
            C( 3, J ) = C( 3, J ) - SUM*T3
   60    CONTINUE
         GO TO 410
   70    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 4 x 4 Householder
</span><span class="comment">*</span><span class="comment">
</span>         V1 = CONJG( V( 1 ) )
         T1 = TAU*CONJG( V1 )
         V2 = CONJG( V( 2 ) )
         T2 = TAU*CONJG( V2 )
         V3 = CONJG( V( 3 ) )
         T3 = TAU*CONJG( V3 )
         V4 = CONJG( V( 4 ) )
         T4 = TAU*CONJG( V4 )
         DO 80 J = 1, N
            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
     $            V4*C( 4, J )
            C( 1, J ) = C( 1, J ) - SUM*T1
            C( 2, J ) = C( 2, J ) - SUM*T2
            C( 3, J ) = C( 3, J ) - SUM*T3
            C( 4, J ) = C( 4, J ) - SUM*T4
   80    CONTINUE
         GO TO 410
   90    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 5 x 5 Householder
</span><span class="comment">*</span><span class="comment">
</span>         V1 = CONJG( V( 1 ) )
         T1 = TAU*CONJG( V1 )
         V2 = CONJG( V( 2 ) )
         T2 = TAU*CONJG( V2 )
         V3 = CONJG( V( 3 ) )
         T3 = TAU*CONJG( V3 )
         V4 = CONJG( V( 4 ) )
         T4 = TAU*CONJG( V4 )
         V5 = CONJG( V( 5 ) )
         T5 = TAU*CONJG( V5 )
         DO 100 J = 1, N
            SUM = V1*C( 1, J ) + V2*C( 2, J ) + V3*C( 3, J ) +
     $            V4*C( 4, J ) + V5*C( 5, J )
            C( 1, J ) = C( 1, J ) - SUM*T1
            C( 2, J ) = C( 2, J ) - SUM*T2
            C( 3, J ) = C( 3, J ) - SUM*T3
            C( 4, J ) = C( 4, J ) - SUM*T4
            C( 5, J ) = C( 5, J ) - SUM*T5
  100    CONTINUE
         GO TO 410
  110    CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Special code for 6 x 6 Householder
</span><span class="comment">*</span><span class="comment">
</span>         V1 = CONJG( V( 1 ) )
         T1 = TAU*CONJG( V1 )
         V2 = CONJG( V( 2 ) )
         T2 = TAU*CONJG( V2 )
         V3 = CONJG( V( 3 ) )
         T3 = TAU*CONJG( V3 )
         V4 = CONJG( V( 4 ) )
         T4 = TAU*CONJG( V4 )
123

clarfx.f.html - 源码说明

本页面展示了「famous linear algebra library (LAPACK) ports to windows」中的 clarfx.f.html 源码文件，采用 HTML 编程语言编写，共 665 行代码。您可以在线阅读完整代码内容，也可以返回资源详情页下载完整源码包进行本地学习和开发。

虫虫下载站收录了大量与algebra相关的技术资源，包括源代码、技术文档、电路图等，是电子工程师和嵌入式开发者的专业学习平台。

⌨️ 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?