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Supernodal sparse direct solver. https://portal.nersc.gov/project/sparse/superlu/
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SuperLU (Version 7.0.0) ======================= SuperLU contains a set of subroutines to solve a sparse linear system A*X=B. It uses Gaussian elimination with partial pivoting (GEPP). The columns of A may be preordered before factorization; the preordering for sparsity is completely separate from the factorization. SuperLU is implemented in ANSI C, and must be compiled with standard ANSI C compilers. It provides functionality for both real and complex matrices, in both single and double precision. The file names for the single-precision real version start with letter "s" (such as sgstrf.c); the file names for the double-precision real version start with letter "d" (such as dgstrf.c); the file names for the single-precision complex version start with letter "c" (such as cgstrf.c); the file names for the double-precision complex version start with letter "z" (such as zgstrf.c). SuperLU contains the following directory structure: SuperLU/README instructions on installation SuperLU/CBLAS/ needed BLAS routines in C, not necessarily fast SuperLU/DOC/ Users' Guide and documentation of source code SuperLU/EXAMPLE/ example programs SuperLU/FORTRAN/ Fortran interface SuperLU/INSTALL/ test machine dependent parameters; the Users' Guide. SuperLU/MAKE_INC/ sample machine-specific make.inc files SuperLU/MATLAB/ Matlab mex-file interface SuperLU/SRC/ C source code, to be compiled into the superlu.a library SuperLU/TESTING/ driver routines to test correctness SuperLU/Makefile top level Makefile that does installation and testing SuperLU/make.inc compiler, compile flags, library definitions and C preprocessor definitions, included in all Makefiles. (You may need to edit it to be suitable for your system before compiling the whole package.) There are two ways to install the package. One uses CMake build system, the other requires users to edit makefile manually. The procedures are described below. 1. Using CMake build system. You will need to create a build tree from which to invoke CMake. From the top level directory, do: mkdir build ; cd build cmake .. or with more options, e.g., cmake \ -DCMAKE_INSTALL_PREFIX=../build \ -DCMAKE_INSTALL_INCLUDEDIR=/my/custom/path \ .. You should link with a fast BLAS library by specifying the following: -DTPL_BLAS_LIBRARIES=<blas_library_name> If you do not have a BLAS library, you may use the internal CBLAS/ distribution, which can be very slow: -Denable_internal_blaslib=YES For very large problems, you need to use 64-bit indexing, by the following cmake option: -DXSDK_INDEX_SIZE=64 Also, METIS ordering is often better for large problems. you need to install METIS package and define the two environment variables: METIS_ROOT and METIS_BUILD_DIR export METIS_ROOT=<Prefix directory of the METIS installation> export METIS_BUILD_DIR=${METIS_ROOT}/build/Linux-x86_64 Then, in cmake command, add the following definitions: -DTPL_ENABLE_METISLIB=ON \ -DTPL_METIS_INCLUDE_DIRS="${METIS_ROOT}/metis/include" \ -DTPL_METIS_LIBRARIES="${METIS_BUILD_DIR}/libmetis/libmetis.a" \ To actually build, type: make To install the library, type: make install To run the regression tests, type: make test (or: ctest) 2. Manual installation with makefile. Before installing the package, please examine the three things dependent on your system setup: 2.1 Edit the make.inc include file. This make include file is referenced inside each of the Makefiles in the various subdirectories. As a result, there is no need to edit the Makefiles in the subdirectories. All information that is machine specific has been defined in this include file. Example machine-specific make.inc include files are provided in the MAKE_INC/ directory for several systems, such as Linux, MacX, Cray, IBM, SunOS 5.x (Solaris), and HP-PA. When you have selected the machine to which you wish to install SuperLU, copy the appropriate sample include file (if one is present) into make.inc. For example, if you wish to run SuperLU on an linux, you can do cp MAKE_INC/make.linux make.inc For the systems other than listed above, slight modifications to the make.inc file will need to be made. 2.2. The BLAS library. If there is BLAS library available on your machine, you may define the following in the file SuperLU/make.inc: BLASDEF = -DUSE_VENDOR_BLAS BLASLIB = <BLAS library you wish to link with> The CBLAS/ subdirectory contains the part of the C BLAS needed by SuperLU package. However, these codes are intended for use only if there is no faster implementation of the BLAS already available on your machine. In this case, you should do the following: 1) In SuperLU/make.inc, undefine (comment out) BLASDEF, and define: BLASLIB = ../lib/blas$(PLAT).a 2) Go to the SuperLU/ directory, type: make blaslib to make the BLAS library from the routines in the CBLAS/ subdirectory. 2.3. C preprocessor definition CDEFS. In the header file SRC/slu_Cnames.h, we use macros to determine how C routines should be named so that they are callable by Fortran. (Some vendor-supplied BLAS libraries do not have C interface. So the re-naming is needed in order for the SuperLU BLAS calls (in C) to interface with the Fortran-style BLAS.) The possible options for CDEFS are: o -DAdd_: Fortran expects a C routine to have an underscore postfixed to the name; o -DNoChange: Fortran expects a C routine name to be identical to that compiled by C; o -DUpCase: Fortran expects a C routine name to be all uppercase. 2.4. The Matlab MEX-file interface. The MATLAB/ subdirectory includes Matlab C MEX-files, so that our factor and solve routines can be called as alternatives to those built into Matlab. In the file SuperLU/make.inc, define MATLAB to be the directory in which Matlab is installed on your system, for example: MATLAB = /usr/local/matlab At the SuperLU/ directory, type "make matlabmex" to build the MEX-file interface. After you have built the interface, you may go to the MATLAB/ directory to test the correctness by typing (in Matlab): trysuperlu trylusolve A Makefile is provided in each subdirectory. The installation can be done completely automatically by simply typing "make" at the top level. The test results are in the files below: INSTALL/install.out TESTING/stest.out # single precision, real TESTING/dtest.out # double precision, real TESTING/ctest.out # single precision, complex TESTING/ztest.out # double precision, complex -------------------- | RELEASE VERSIONS | -------------------- February 4, 1997 Version 1.0 November 15, 1997 Version 1.1 September 1, 1999 Version 2.0 October 15, 2003 Version 3.0 August 1, 2008 Version 3.1 June 30, 2009 Version 4.0 November 23, 2010 Version 4.1 August 25, 2011 Version 4.2 October 27, 2011 Version 4.3 July 26, 2015 Version 5.0 December 3, 2015 Version 5.1 April 8, 2016 Version 5.2.0 May 22, 2016 Version 5.2.1 October 17, 2020 Version 5.2.2 April 5, 2023 Version 6.0.0 August 5, 2023 Version 6.0.1 August 17, 2024 Version 7.0.0
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