LAPACK

Purpose:

Example of using LAPACK libraries on the cluster. The specific example creates 100X100 random matrix and diagonalizes it.

Contents:

(1) lapack_test.f90: Fortran source code

(2) Makefile: Makefile to compile the source code

(3) run.sbatch: Btach-job submission script to send the job to the queue

Example Usage:

source new-modules.sh
make
sbatch run.sbatch

Example Output:

 Eigen values of h:
           1  -5.9173627920778840     
           2  -5.4622305719522233     
           3  -5.0140224795854946     
           4  -4.9236578808830620     
           5  -4.7171953274704235     
           6  -4.6924386683880961     
           7  -4.4560755988031815     
           8  -4.2936463754595353     
           9  -4.1201234410093219     
          10  -3.9966083908434960     
          11  -3.9005222682317910     
          12  -3.7136638389289125     
          13  -3.6498520118544886     
          14  -3.5048994812921745     
          15  -3.3092165433379415     
          16  -3.2716978632141096     
          17  -3.1450754782466150     
          18  -3.0370667614850619     
          19  -2.8457986616859690     
          20  -2.7975676531806148     
          21  -2.6811391642645734     
          22  -2.5875579936919331     
          23  -2.5319247936082911     
          24  -2.4335806561282260     
          25  -2.3400697987469159     
          26  -2.2714529891051960     
          27  -2.0892798055969712     
          28  -1.9914157115835640     
          29  -1.9517727200211672     
          30  -1.9236722424994122     
          31  -1.8384726823206421     
          32  -1.7234757833805263     
          33  -1.5467311719604293     
          34  -1.4760857988988414     
          35  -1.3113250567105064     
          36  -1.2724633036757262     
          37  -1.2147485665961884     
          38  -1.1306002460276596     
          39 -0.95054108597359588     
          40 -0.83630668650776119     
          41 -0.79589460373040466     
          42 -0.71315964522094499     
          43 -0.62396160922859512     
          44 -0.55881585809763201     
          45 -0.50852056067436724     
          46 -0.26022533893951622     
          47 -0.18232597906490050     
          48 -0.13788862090284812     
          49 -2.62026525444315449E-002
          50  2.38762543087900937E-002
          51  8.19705371042348668E-002
          52  0.23266835007239461     
          53  0.26622094234093796     
          54  0.34684829613368628     
          55  0.51281628968510806     
          56  0.55740203551648493     
          57  0.70506466552552294     
          58  0.71371318406882134     
          59  0.77461899513946797     
          60  0.98556583064397718     
          61   1.0126689945150862     
          62   1.2005103323106667     
          63   1.3271098971809165     
          64   1.3624845999178268     
          65   1.5449643627890752     
          66   1.5575402641066851     
          67   1.6554169263826461     
          68   1.7367238506467384     
          69   1.9104971097964294     
          70   1.9780639057299150     
          71   2.1498787780026394     
          72   2.1976214522097934     
          73   2.2719355028432897     
          74   2.3287225898484110     
          75   2.4886155580647826     
          76   2.5783404208449188     
          77   2.6565838706693752     
          78   2.7435930769540229     
          79   2.8329422798964781     
          80   2.9020809782372901     
          81   3.0035373665527216     
          82   3.1176209518706393     
          83   3.2049636675818207     
          84   3.2245925221834946     
          85   3.3540153531315671     
          86   3.5163963398237281     
          87   3.5700131690947736     
          88   3.8029115447933406     
          89   3.8616477415418342     
          90   4.0213169717123423     
          91   4.1440296164961810     
          92   4.2346440878767426     
          93   4.4043595246921798     
          94   4.6151972557074030     
          95   4.6834950671914584     
          96   4.8032831650372145     
          97   5.0014143250821936     
          98   5.1856783411660086     
          99   5.1987505309260706     
         100   50.010946087355642     
STOP End of program.