ScaLAPACK

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ScaLAPACK: ApplicationsInduced current(white arrows) andcharge density(colored plane andgray surface) incrystallizedglycine due to anexternal field;courtesy of Louie,Yoon, Pfrommerand Canning (UCBand LBNL).Two ScaLAPACK routines,PZGETRF and PZGETRS,are used for solution oflinear systems in thespectral algorithms basedAORSA code (Batchelor etal.), which is intended forthe study ofelectromagnetic waveplasmainteractions. Thecode reaches 68% of peakperformance on 1936processors of an IBM SP.Model for theinternalstructure of theEarth,resolutionmatrix (Vascoand Marques)Advanced Computational Research inFusion (SciDAC Project, PI MitchPindzola). Point of contact: Dario Mitnik(Dept. of Physics, Rollins College).Mitnik attended the workshop on theACTS Collection in September 2000and afterwards actively used ACTStools, in particular ScaLAPACK. Dariohas worked on the development, testingand support of new scientific simulationcodes related to the study of atomicdynamics using time-dependent closecoupling lattice and time-independentmethods. He has reported that thiswork could not be carried out insequential machines and thatScaLAPACK was fundamental for theparallelization of these codes.ACTS Collection Workshop - ScaLAPACK 08/23/20054
ScaLAPACK: software structurehttp://acts.nersc.gov/scalapackScaLAPACKVersion 1.7 released in in August 2001;new developments under way.PBLASGlobalLocalLAPACKBLACSParallel BLAS.Linear systems, leastsquares, singularvalue decomposition,eigenvalues.BLASplatform specificMPI/PVM/...Communicationroutines targetinglinear algebraoperations.Clarity,modularity, performanceand portability. Atlas can beused here for automatic tuning.Communication layer(message passing).ACTS Collection Workshop - ScaLAPACK 08/23/20055
Page 1 and 2: Sixth DOE ACTS Collection WorkshopB
Page 3: Application: Cosmic Microwave Backg
Page 7 and 8: BLAS: 3 levels• Level 1 BLAS: vec
Page 10 and 11: BLACS(Basic Linear Algebra Communic
Page 12 and 13: BLACS: communication routinesSend/R
Page 14 and 15: BLACS: example* Get system informat
Page 16 and 17: PBLAS: levels and view of the opera
Page 18 and 19: ScaLAPACK: goals• Efficiency• O
Page 20 and 21: ScaLAPACK: 2D Block-Cyclic Distribu
Page 22 and 23: 2D Block-Cyclic Distribution• Ens
Page 24 and 25: Array Descriptor for Dense Matrices
Page 26 and 27: Array Descriptor for Right Hand Sid
Page 28 and 29: ScaLAPACK: error handling• Driver
Page 30 and 31: ScaLAPACK: Performance• The algor
Page 32 and 33: LU+solve on 2.2 GHz AMD Opteron (4.
Page 34 and 35: ScaLAPACK: Development Team• Susa
Page 36 and 37: Hands-on: http://acts.nersc.gov/sca
Page 38 and 39: PROGRAM PSSCAEX* This program solve
Page 40 and 41: Data distribution for pdpttr_2.c (p
Page 42: ⎡ a⎢⎢a⎢ a⎢⎢ a⎢ a⎢

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