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CLAPACKµÄ°²×°Óë¼òµ¥Ê¹ÓÃ

CLAPACKÊÇLAPACKµÄCÓïÑÔ½Ó¿Ú¡£LAPACKµÄÈ«³ÆÊÇLinear Algebra PACKage£¬ÊǷdz£ÖøÃûµÄÏßÐÔ´úÊý¿â¡£LAPACKÊÇÓÃFortranдµÄ£¬ÎªÁË·½±ãC/C++³ÌÐòµÄʹÓ㬾ÍÓÐÁËLAPACKµÄC½Ó¿Ú¿âCLAPACK¡£LAPACKµÄÖ÷Ò³ÊÇhttp://www.netlib.org/lapack/£¬CLAPACKÔòÔÚhttp://www.netlib.org/clapack/¡£

°²×°CLAPACKÊ×ÏÈ×Ô´ÓÆäÖ÷Ò³ÉÏÏÂÔØCLAPACK°ühttp://www.netlib.org/clapack/clapack.tgz£¬½âѹ¡£ÔÚÆäĿ¼ÏµÄINSTALLĿ¼ÖÐÓÐmake.incµÄ·¶±¾Îļþ£¬±ÈÈçÔÚlinuxϾÍÊÇmake.inc.LINUX£¬½«Õâ¸öÎļþ¿½µ½CLAPACKĿ¼Ï²¢¸ÄÃûΪmake.inc£¬²¢Ð޸ĴËÎļþÖеÄÏàÓ¦²ÎÊý£¬Èç¹ûÐèÒªµÄ»°¡£CLAPACKÐèÒªF2CLIBSµÄlibI77.aºÍlibF77.a£¬Ò»¸ötmglibºÍblas£¬Õ⼸¸ö¿â¶¼°üº¬ÔÚÁËCLAPACKµÄ°²×°°üÖУ¬µ«ÊÇblas¿ÉÒÔÑ¡ÓÃÆäËûÓÅ»¯¹ýµÄ°æ±¾ÒԵõ½¸üºÃµÄÐÔÄÜ¡£ÔÚ´ËÎÒÃÇʹÓÃCLAPACKÖеÄblas¡£

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ÏÖÔÚ¾Íͨ¹ýʹÓÃCLAPACKÖеÄÒ»¸öº¯Êýsgesv_½âÏßÐÔ·½³Ì×éÀ´Ñ§Ï°Ò»ÏÂʹÓõķ½·¨¡£

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int sgesv_(integer *n, integer *nrhs, real *a, integer *lda, integer *ipiv, real *b, integer *ldb, integer *info)

sgesv_µÄ¹¦ÄÜÊÇʹÓÃLU·Ö½â·¨½âÏßÐÔ·½³Ì×éAX=B£¬ÆäÖÐAÊÇÒ»¸ön*nµÄ·½Õó¡£

integer *n, ·½³ÌµÄ¸öÊý£¬Ò²¾ÍÊÇAµÄÐÐÊýºÍÁÐÊý
integer *nrhs, BµÄÁÐÊý
real *a, ´æ´¢¾ØÕóAÊý¾ÝµÄһάÊý×飬ÔÚfortranÖУ¬Êý×éÊÇÁÐÖ÷Ðò´æ´¢£¬ÔÚ´ËaÖеĶþάÊý¾ÝÒ²±ØÐëÊÇÁÐÖ÷Ðò
integer *lda, µÈÓÚn
integer *ipiv, Ò»¸öÊä³öÊý¾ÝÊý×飬Êý×é´óСÊÇn£¬¾ßÌåʲô¹¦Äܲ»Ì«Ã÷°×£¬µ«ÊÇËÆºõ²»Ó°Ïì×îºó½á¹û£¬Ë­Ã÷°×Çë¸æËßÎÒ
real *b,´æ´¢¾ØÕóBÊý¾ÝµÄһάÊý×飬ÔÚfortranÖУ¬Êý×éÊÇÁÐÖ÷Ðò´æ´¢£¬ÔÚ´ËbÖеĶþάÊý¾ÝÒ²±ØÐëÊÇÁÐÖ÷Ðò
integer *ldb, µÈÓÚn
integer *info,Êä³ö²ÎÊý£¬Èç¹û·µ»Ø´Ë²ÎÊýΪ0£¬±íʾº¯ÊýÕý³£Í˳ö£¬·ñÔò±íʾ³ö´í

ÔÚ´Ë£¬ÎÒÓÃÁ˸߽Ìͬ¼Ã´óѧ°æÏßÐÔ´úÊýµÚ¶þ°æ106Ò³£¬2Ìâ(1)µÄÊý¾Ý¡£

A:
4,2,£­1
3,£­1,2
11,0,3

B:
2
10
8

´úÂ룺
#include
usingnamespace std;
#include
//ÒòΪ³ÌÐòÊÇC++£¬¶øCLAPACKÊÇCÓïÑÔдµÄ£¬ËùÒÔÔÚ´Ë´¦ÓÃextern¹Ø¼ü×Ö
extern"C"
{

    #include
}
int main(void) {
   
    integer M=3 ;
    integer N=1;
   
    real a[9]={4,3,11,2,-1,0,-1,2,3};
    real b[3]={2,10,8};

    integer lda;
    integer ldb;

    integer INFO;

    lda=M;
    ldb=M;
   
    integer ipiv[M];
   
    sgesv_(&M, &N, a, &lda,ipiv, b, &ldb, &INFO);
   
    if(INFO==0)
    {
       for(int i=0;i        {      
           cout<<        }      
    }
    else
    {
       cout<<"Failed."<     }   
   
    return EXIT_SUCCESS;
}

³ÌÐò±àÒëÁ´½ÓµÄʱºò£¬lapack_LINUX.a£¬tmglib_LINUX.a£¬blas_LINUX.a£¬libF77.a£¬libI77.a Õ⼸¸ö¿âÎļþ¶¼ÐèÒªÁ´½Ó½øÈ¥¡£

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54


ת×Ô£ºhttp://blog.csdn.net/daiyuchao/archive/2008/01/04/2026162.aspx
31Â¥2010-01-29 14:55:24
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zyz1981

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Ubuntu£¨Unix£©ÏÂLapackµÄ°²×°½éÉÜ£¨ifort£©

* Lapack ( http://www.netlib.org/lapack/lapack.tgz )
download and unzip the file

1. Modify the make.inc file

make.inc file which is used by the makefiles in all directories.
This make.inc must be adapt to your computer system necessity.
Following is an example,

FORTRAN = ifort
OPTS = -O2
DRVOPTS = $(OPTS)
NOOPT = -O0
LOADER = ifort
LOADOPTS =


change the lines:

BLASLIB = ../../blas$(PLAT).a
LAPACKLIB = lapack$(PLAT).a
TMGLIB = tmglib$(PLAT).a
EIGSRCLIB = eigsrc$(PLAT).a
LINSRCLIB = linsrc$(PLAT).a

to --->
BLASLIB = ../../libblas$(PLAT).a
LAPACKLIB = liblapack$(PLAT).a
TMGLIB = libtmglib$(PLAT).a
EIGSRCLIB = libeigsrc$(PLAT).a
LINSRCLIB = liblinsrc$(PLAT).a

2. For the Makefile file
# The library can be set up to include routines for any combination
# of the four precisions. To create or add to the library, enter make
# followed by one or more of the precisions desired. Some examples:
# make single
# make single complex
# make single double complex complex16
# Alternatively, the command
# make
# without any arguments creates a library of all four precisions.
# The library is called
# lapack.a
# and is created at the next higher directory level.
#
# To remove the object files after the library is created, enter
# make clean

3. run in the terminal:
make blaslib
make all
cp *.a ~/lib


4. extract the file lapack95.tgz, and enter to the folder LAPACK95
The installation procedure:

1) Verify the make.inc file ("OPTS0", "MODLIB", "LAPACK77",
"BLAS" and "SUF".
2) cd SRC
3) Read the README file.
4) Run the make file with one of the selected library name.
5) cd ../TESTING
6) Read the README file.
7) Run the tests as described in README file.
8) run for a few tests from the directories EXAMPLES1 and
EXAMPLES2.

Change the settings in make.inc as following:
FC = ifort
FC1 = ifort



LAPACK_PATH = $(HOME)/lib
LAPACK95 = ../liblapack95.a
LAPACK77 = $(LAPACK_PATH)/liblapack.a
TMG77 = $(LAPACK_PATH)/libtmglib.a
BLAS = $(LAPACK_PATH)/libblas.a

then run in the terminal:
cd SRC
make double_dcomplex
cd ..
cp lapack95.a ~/lib/liblapack95.a
cp ./lapack95_modules/* ~/include

ת×Ô£ºhttp://www.39g.com/html/kaifa/281/2009/12/359229517805.htm
32Â¥2010-01-29 14:58:00
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zyz1981

ÖÁ×ðľ³æ (ÎÄ̳¾«Ó¢)

ҽѧÎïÀí

¹ØÓÚLAPACK

¹Ù·½ÍøÕ¾£º
http://netlib.amss.ac.cn/lapack/index.html

Óû§Êֲ᣺
http://netlib.amss.ac.cn/lapack/lug/index.html
http://www.netlib.org/lapack/lawn41/index.html


LAPACK (Linear Algebra PACKage) ÊÇOak Ridge ¹ú¼ÒʵÑéÊÒ¡¢¼ÓÖÝ´óѧDavis ·ÖУºÍIllinois ´óѧµÈÁªºÏ¿ª·¢µÄÏßÐÔ´úÊýº¯Êý¿â£¬ÓÃÓÚÔÚ²»Í¬¸ßÐÔÄܼÆËã»·¾³ÉϸßЧÇó½âÊýÖµÏßÐÔ´úÊýÎÊÌâ[7] ¡£

LAPACK ²ÉÓñê×¼Fortran 77 ±àд¡£LAPACK Ö§³ÖʵÐͺ͸´ÐÍÊý¾ÝÀàÐÍ£¬Íêȫ֧³Öµ¥¾«¶ÈºÍË«¾«¶È¼ÆËã¡£LAPACK ¿ÉÒÔÔÚÏòÁ¿»ú£¬ ¸ßÐÔÄܳ¬±êÁ¿¹¤×÷Õ¾£¬ºÍ¹²Ïí´æ´¢¶à´¦Àí»úÉϸßЧÔËÐУ¬Ò²¿ÉÒÔÔÚ¸÷ÖÖÀàÐ͵ĵ¥»ú£¨PC, ¹¤×÷Õ¾, ´óÐÍ»ú£©ÉÏ»ñµÃÂúÒâµÄ½á¹û¡£LAPACK ×îа汾Ϊlapack-3.0¡£

  

²âÊÔÎļþ£ºSingle Precision Example (sgeev):
program test_sgeev
c Purpose: Compute the eigenvalues and, optionally, the left and/or
c right eigenvectors for an n-by-n real nonsymmetric matrix.
c Usage: call sgeev(jobvl, jobvr, n, a, lda, wr, wi, vl, ldvl, vr, ldvr,
c work, lwork, info)

integer nout, n, lda, lwork, ldvr, ldvl
parameter (nout=6, n=3, lda=n, lwork=5*n, ldvl=n, ldvr=n)
integer i, j, info
real a(lda,n), vr(ldvr,n), vl(ldvl,n)
real work(lwork), wi(n), wr(n)
external sgeev
c
data a / 3, 7, -4, 2, 8, -4, -1, -1, 3 /
c
call sgeev('N', 'V', n, a, lda, wr, wi, vl, ldvl, vr, ldvr,
& work, lwork, info)
c
write (*,*)
print*,' *** the real part of the computed eigenvalues ***'
write(nout, 98) (wr(i), i=1,n)
c
write (*,*)
print*,' *** the imaginary part of the computed eigenvalues ***'
write(nout, 98) (wi(i), i=1,n)
c
write (*,*)
print*,' *** the right eigenvectors ***'
do 10 i = 1,ldvr
write(nout, 99) vr(i,1), vr(i,2), vr(i,3)
10 continue
98 format (1x,f10.4)
99 format (1x,3f10.4)
c
end


***** OUTPUT: *****

*** the real part of the computed eigenvalues ***
11.0000
1.0000
2.0000

*** the imaginary part of the computed eigenvalues ***
0.0000
0.0000
0.0000

*** the right eigenvectors ***
-0.2673 -0.7071 -0.3714
-0.8018 0.7071 0.5571
0.5345 0.0000 0.7428


*********************


DGGEV ¹ãÒåÌØÕ÷ÖµÇó½â£¬²âÊÔ³ÌÐò
     implicit none
      integer     i,info
      real(8)       ::  aa(2,2),bb(2,2),x(2),vl(2,2),vr(2,2)
      real(8)       ::  WORK(16,2),A1(2), A2(2), B1(2)
      data bb/10., 0., 0., 10./
      data aa/20000, -10000, -10000, 10000/
      call DGGEV('N','V',2,AA,2,BB,2,A1,A2,B1,VL,2,VR,2,WORK,16,info)
      do i=1,2
            x(i)=A1(i)/B1(i)
      end do
      write(*,*)x
      end

½â£º2628   382


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http://jsy.dyn.dhs.org/maths/for ... dows/#installLAPACK

ת×Ô£ºhttp://zhousicheng.googlepages.com/a_042
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LAPACK + ATLAS°²×°Ö¸ÄÏ

1. make.inc
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BLASLIB      = ../../blas.a  ££Õâ¸öÏÂÃæÓнâÊÍ
LAPACKLIB    = lapack.a
TMGLIB       = tmglib.a
EIGSRCLIB    = eigsrc.a
LINSRCLIB    = linsrc.a

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lib: lapacklib tmglib
#lib: blaslib lapacklib tmglib

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#lib: lapacklib tmglib
lib: blaslib lapacklib tmglib

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ת×Ô£ºhttp://www.ccthere.com/article/1524741
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ATLAS°²×°&×ÊÔ´

http://atlas.asp.net/docs/overview/install.aspx
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ÏÂÃæÊÇ˵ÈçºÎÔÚÏÖÓеÄÏîÄ¿ÖÐʹÓÃAtlas:
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2  C:\Program Files\Microsoft ASP.NET\Atlas\v2.0.50727\Atlas
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http://dflying.cnblogs.com
http://pwqzc.cnblogs.com


ת×Ô£ºhttp://www.cnblogs.com/lbk/archive/2006/06/01/415081.html
35Â¥2010-01-29 15:11:13
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source ifortvars.sh(.csh)

source iccvars.sh

µ½´Ë°²×°ÉèÖÃÍê±Ï¡£·Ö±ðÊäÈëwhich ifort£¬which iccÈç¹ûÄÜ¿´µ½/opt/intel/fce/10.0.008/bin/ifort £¬/opt/intel/cce/10.0.015/bin/icc£¬ÄÇô¾Í°²×°ÉèÖóɹ¦ÁË£¬¸Ï½ôÓøöfortran³ÌÐòÈ¥²âÊÔ°É¡£

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source /opt/intel/cce/10.1.015/bin/iccvars.sh

source /opt/intel/fce/10.0.008/bin/ifortvars.shÈ»ºó£¬±£´æÍ˳ö£¬source /etc/profile£¬µ½´ËΪֹ£¬intel±àÒëÆ÷°²×°Íê±Ï¡£

ת×Ô£ºhttp://www.linuxdiyf.com/bbs/thread-94066-1-1.html
36Â¥2010-01-29 15:16:02
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¹ØÓÚ intel MKL µÄ°²×°Ê¹Óõã

1: °²×°
¿ÉÒÔÔÚ intel ÍøÕ¾»ñµÃÃâ·ÑµÄ Linux ¸öÈ˰æ. ÔËÐÐ install.sh ½Å±¾¼´¿É.

2: ÅäÖÃ
ÓÉÓÚ Fortran95 ½Ó¿ÚµÄ blas,lapack ʹÓøü¼Ó¼òµ¥, ÔÚ°²×°ºóÊ×ÏÈÓ¦¸Ã±àÒëÕâ
Щ½Ó¿ÚµÄÔ´Îļþ, ¸ù¾Ý userguide ÊÖ²á: ½øÈë interface Ŀ¼ÏÂÏàÓ¦µÄλÖÃÈç
blas95, ²¢¸ù¾Ýƽ̨ÀàÐÍÑ¡Ôñ±àÒë²ÎÊý:
                        
make PLAT=lnx32 lib- for IA-32 architecture                        
make PLAT=lnx32e lib- for Intel® 64 architecture                     
make PLAT=lnx64 lib- for IA-64 architecture.

±àÒëÍêºó, ½« obj Ŀ¼ÏµÄÍ·Îļþ *.mod ×ªÒÆµ½ include Ŀ¼, ¿âÎļþ *.a
תÈë lib/32 Ŀ¼

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source /opt/intel/mkl/10.0.5.025/tools/environment/mklvars32.sh
export MKL_FLAG='-lmkl_lapack95 -lmkl_ia32 -lguide -lpthread'
ÉÏÃæµÄÉèÖøù¾Ý¾ßÌåÆ½Ì¨ÐèÇóÀ´¶¨.

3: ʹÓÃʱ¼ÓÉϱàÒëÁ´½Ó²ÎÊý $MKL_FLAG ¼´¿É, ¿ÉÒÔͨ¹ý man º¯ÊýÃû»ñµÃº¯Êý
µÄÏêϸʹÓÃÊÖ²á.
  

ת×Ô£ºhttp://blog.sina.com.cn/s/blog_4b8c0f290100fiym.html
37Â¥2010-01-29 15:17:18
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