lapack

Writing a fast linear system solver in OpenCL C

浪尽此生 提交于 2020-08-27 22:28:23
问题 I'm writing an OpenCL kernel which will involve solving a linear system. Currently my kernel is simply too slow, and improving the performance of the linear system portion seemed like a good place to start. I should also note that I'm not trying make my linear solver parallel, the problem I'm working on is already embarassingly parallel at a macroscopic level. The following is C code I wrote for solving Ax=b using Gaussian elimination with partial pivoting, #import <stdio.h> #import <math.h>

Trouble installing scipy via pyCharm windows 8 - no lapack / blas resources found

萝らか妹 提交于 2020-08-22 09:46:30
问题 I'm currently having trouble installing scipy via PyCharm's package manager. I have installed numpy successfully and do have the Microsoft Visual Studio C/C++ compiler in the System Variables. However, when it's time to install scipy in PyCharm, the following error occurs: Executed Command: pip install scipy Error occured: numpy.distutils.system_info.NotFoundError: no lapack/blas resources found I have seen other resources on installing blas / lapack on windows, but I'm unsure if it will work

C++各大有名科学计算库

删除回忆录丶 提交于 2020-08-12 02:26:50
在 C++中,库的地位是非常高的。C++之父 Bjarne Stroustrup先生多次表示了设计库来扩充功能要好过设计更多的语法的言论。现实中,C++的库门类繁多,解决的问题也是极其广泛,库从轻量级到重量级的都有。不少都是让人眼界大开,亦或是望而生叹的思维杰作。由于库的数量非常庞大,而且限于笔者水平,其中很多并不了解。所以文中所提的一些库都是比较著名的大型库。 C++各大有名科学计算库的介绍 Blitz++ ( http://www.oonumerics.org/blitz ) Blitz++ 是一个高效率的数值计算函数库,它的设计目的是希望建立一套既具像C++ 一样方便,同时又比Fortran速度更快的数值计算环境。通常,用C++所写出的数值程序,比 Fortran慢20%左右,因此Blitz++正是要改掉这个缺点。方法是利用C++的template技术,程序执行甚至可以比Fortran更快。 Blitz++目前仍在发展中,对于常见的SVD,FFTs,QMRES等常见的线性代数方法并不提供,不过使用者可以很容易地利用Blitz++所提供的函数来构建。 POOMA ( http://www.codesourcery.com/pooma/pooma ) POOMA是一个免费的高性能的C++库,用于处理并行式科学计算。POOMA的面向对象设计方便了快速的程序开发

BLAS LDB using DGEMM

亡梦爱人 提交于 2020-06-29 05:54:19
问题 I want to multiply matrices by D*W', where W' is a transposed version of W. While I'll use DGEMM I'l figured out with the help of @IanBush that the LDB in this case should be number of rows of matrix W instead of number of columns. The code for this case is Call dgemm('n', 't', N1, M1, N1, 1.0_wp, D, N1, W, M1, 0.0_wp, c, n1) where n1 and m1 are dimensions of my matrices Dimensions of the matrices: W = M1*N1 D = N1*N1 As in official documentation it says LDB is INTEGER On entry, LDB specifies

Error in linking gfortran to LAPACK and BLAS

a 夏天 提交于 2020-05-26 06:29:25
问题 I have installed LAPACK and BLAS from Synaptic package manager in Ubuntu. whereis libblas libblas: /usr/lib/libblas.so /usr/lib/libblas.a /usr/lib/libblas whereis liblapack liblapack: /usr/lib/liblapack.a /usr/lib/liblapack.so When I try to compile the randomsys1 example with gfortran I get the following error messages. gfortran randomsys1.f90 -L/usr/lib/lapack -llapack -L/usr/lib/libblas -lblas /tmp/cclwtifh.o: In function `MAIN__': randomsys1.f90:(.text+0x12): undefined reference to `init

Inconsistent rows allocation in scalapack

半城伤御伤魂 提交于 2020-05-17 07:07:21
问题 Consider the following simple fortran program program test_vec_allocation use mpi implicit none integer(kind=8) :: N ! =========================BLACS and MPI======================= integer :: ierr, size, rank,dims(2) ! ------------------------------------------------------------- integer, parameter :: block_size = 100 integer :: context, nprow, npcol, local_nprow, local_npcol integer :: numroc, indxl2g, descmat(9),descvec(9) integer :: mloc_mat ,nloc_mat ,mloc_vec ,nloc_vec call blacs_pinfo

Efficient way to find norm of distributed vector in SCALAPACK

本秂侑毒 提交于 2020-05-17 06:12:05
问题 consider the following piece of code using scalapack: ! if (norm2(h-x0) < tol) then tmp_vec = h - x0 call pdnrm2(N,norm,tmp_vec,1,1,descvec,1) if (norm < tol) then x=h converged = .true. exit endif s = r0 - alpha*v call pdgemv('N', N, N, 1.0, A, 1, 1, descmat, s, 1, 1, descvec, 1, 0.0,t, 1, 1, descvec, 1) its part of an iterative solver that i was trying, problem is that if my processor grid is two dimensional, my vectors do not have any elements on those procs, hence dnrm2 yields zero or the

CMake is not able to find LAPACK sgemm on macOS

生来就可爱ヽ(ⅴ<●) 提交于 2020-05-16 22:36:27
问题 I'm trying to compile this code, but when running cmake .. in the build folder I get the messages: -- Looking for Fortran sgemm -- Looking for Fortran sgemm - not found -- Looking for pthread.h -- Looking for pthread.h - found -- Performing Test CMAKE_HAVE_LIBC_PTHREAD -- Performing Test CMAKE_HAVE_LIBC_PTHREAD - Success -- Found Threads: TRUE -- Looking for Fortran dgemm -- Looking for Fortran dgemm - found -- Found BLAS: /Library/Developer/CommandLineTools/SDKs/MacOSX10.15.sdk/System