Using the Intel® oneAPI Math Kernel Library for Matrix Multiplication - C

ID 758506
Date 9/27/2021
Public

A newer version of this document is available. Customers should click here to go to the newest version.

Notices and Disclaimers

Intel technologies may require enabled hardware, software or service activation.

No product or component can be absolutely secure.

Your costs and results may vary.

© Intel Corporation. Intel, the Intel logo, and other Intel marks are trademarks of Intel Corporation or its subsidiaries. Other names and brands may be claimed as the property of others.

Software and workloads used in performance tests may have been optimized for performance only on Intel microprocessors. Performance tests, such as SYSmark and MobileMark, are measured using specific computer systems, components, software, operations and functions. Any change to any of those factors may cause the results to vary. You should consult other information and performance tests to assist you in fully evaluating your contemplated purchases, including the performance of that product when combined with other products.

Intel, the Intel logo, Intel Atom, Intel Core, Intel Xeon Phi, VTune and Xeon are trademarks of Intel Corporation in the U.S. and/or other countries.

*Other names and brands may be claimed as the property of others.

Microsoft, Windows, and the Windows logo are trademarks, or registered trademarks of Microsoft Corporation in the United States and/or other countries.

Java is a registered trademark of Oracle and/or its affiliates.

Copyright 2015-2019, Intel Corporation.

This software and the related documents are Intel copyrighted materials, and your use of them is governed by the express license under which they were provided to you (License). Unless the License provides otherwise, you may not use, modify, copy, publish, distribute, disclose or transmit this software or the related documents without Intel's prior written permission.

This software and the related documents are provided as is, with no express or implied warranties, other than those that are expressly stated in the License.

Third Party Content

Intel® oneAPI Math Kernel Library includes content from several 3rd party sources that was originally governed by the licenses referenced below:

  • Portions© Copyright 2001 Hewlett-Packard Development Company, L.P.

  • Sections on the Linear Algebra PACKage (LAPACK) routines include derivative work portions that have been copyrighted:

    © 1991, 1992, and 1998 by The Numerical Algorithms Group, Ltd.

  • Intel® oneAPI Math Kernel Library supports LAPACK 3.5 set of computational, driver, auxiliary and utility routines under the following license:

    Copyright © 1992-2011 The University of Tennessee and The University of Tennessee Research Foundation. All rights reserved.

    Copyright © 2000-2011 The University of California Berkeley. All rights reserved.

    Copyright © 2006-2012 The University of Colorado Denver. All rights reserved.

    Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

    • Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

    • Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer listed in this license in the documentation and/or other materials provided with the distribution.

    • Neither the name of the copyright holders nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

    The copyright holders provide no reassurances that the source code provided does not infringe any patent, copyright, or any other intellectual property rights of third parties. The copyright holders disclaim any liability to any recipient for claims brought against recipient by any third party for infringement of that parties intellectual property rights.

    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

    The original versions of LAPACK from which that part of Intel® oneAPI Math Kernel Library was derived can be obtained from http://www.netlib.org/lapack/index.html. The authors of LAPACK are E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen.

  • The original versions of the Basic Linear Algebra Subprograms (BLAS) from which the respective part of Intel® oneAPI Math Kernel Library was derived can be obtained from http://www.netlib.org/blas/index.html.

  • XBLAS is distributed under the following copyright:

    Copyright © 2008-2009 The University of California Berkeley. All rights reserved.

    Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

    - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

    - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer listed in this license in the documentation and/or other materials provided with the distribution.

    - Neither the name of the copyright holders nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

  • The original versions of the Basic Linear Algebra Communication Subprograms (BLACS) from which the respective part of Intel® oneAPI Math Kernel Library was derived can be obtained from http://www.netlib.org/blacs/index.html. The authors of BLACS are Jack Dongarra and R. Clint Whaley.

  • The original versions of Scalable LAPACK (ScaLAPACK) from which the respective part of Intel® oneAPI Math Kernel Library was derived can be obtained from http://www.netlib.org/scalapack/index.html. The authors of ScaLAPACK are L. S. Blackford, J. Choi, A. Cleary, E. D'Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R. C. Whaley.

  • The original versions of the Parallel Basic Linear Algebra Subprograms (PBLAS) routines from which the respective part of Intel® oneAPI Math Kernel Library was derived can be obtained from http://www.netlib.org/scalapack/html/pblas_qref.html.

  • PARDISO (PARallel DIrect SOlver)* in Intel® oneAPI Math Kernel Library was originally developed by the Department of Computer Science at the University of Basel (http://www.unibas.ch). It can be obtained at http://www.pardiso-project.org.

  • The Extended Eigensolver functionality is based on the Feast solver package and is distributed under the following license:

    Copyright © 2009, The Regents of the University of Massachusetts, Amherst.
    Developed by E. Polizzi
    All rights reserved.

    Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

    1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

    2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

    3. Neither the name of the University nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

    THIS SOFTWARE IS PROVIDED BY THE AUTHOR ''AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

  • Some Fast Fourier Transform (FFT) functions in this release of Intel® oneAPI Math Kernel Library have been generated by the SPIRAL software generation system (http://www.spiral.net/) under license from Carnegie Mellon University. The authors of SPIRAL are Markus Puschel, Jose Moura, Jeremy Johnson, David Padua, Manuela Veloso, Bryan Singer, Jianxin Xiong, Franz Franchetti, Aca Gacic, Yevgen Voronenko, Kang Chen, Robert W. Johnson, and Nick Rizzolo.

  • Open MPI is distributed under the New BSD license, listed below.

    Most files in this release are marked with the copyrights of the organizations who have edited them. The copyrights below are in no particular order and generally reflect members of the Open MPI core team who have contributed code to this release. The copyrights for code used under license from other parties are included in the corresponding files.

    Copyright © 2004-2010 The Trustees of Indiana University and Indiana University Research and Technology Corporation. All rights reserved.

    Copyright © 2004-2010 The University of Tennessee and The University of Tennessee Research Foundation. All rights reserved.

    Copyright © 2004-2010 High Performance Computing Center Stuttgart, University of Stuttgart. All rights reserved.

    Copyright © 2004-2008 The Regents of the University of California. All rights reserved.

    Copyright © 2006-2010 Los Alamos National Security, LLC. All rights reserved.

    Copyright © 2006-2010 Cisco Systems, Inc. All rights reserved.

    Copyright © 2006-2010 Voltaire, Inc. All rights reserved.

    Copyright © 2006-2011 Sandia National Laboratories. All rights reserved.

    Copyright © 2006-2010 Sun Microsystems, Inc. All rights reserved. Use is subject to license terms.

    Copyright © 2006-2010 The University of Houston. All rights reserved.

    Copyright © 2006-2009 Myricom, Inc. All rights reserved.

    Copyright © 2007-2008 UT-Battelle, LLC. All rights reserved.

    Copyright © 2007-2010 IBM Corporation. All rights reserved.

    Copyright © 1998-2005 Forschungszentrum Juelich, Juelich Supercomputing Centre, Federal Republic of Germany

    Copyright © 2005-2008 ZIH, TU Dresden, Federal Republic of Germany

    Copyright © 2007 Evergrid, Inc. All rights reserved.

    Copyright © 2008 Chelsio, Inc. All rights reserved.

    Copyright © 2008-2009 Institut National de Recherche en Informatique. All rights reserved.

    Copyright © 2007 Lawrence Livermore National Security, LLC. All rights reserved.

    Copyright © 2007-2009 Mellanox Technologies. All rights reserved.

    Copyright © 2006-2010 QLogic Corporation. All rights reserved.

    Copyright © 2008-2010 Oak Ridge National Labs. All rights reserved.

    Copyright © 2006-2010 Oracle and/or its affiliates. All rights reserved.

    Copyright © 2009 Bull SAS. All rights reserved.

    Copyright © 2010 ARM ltd. All rights reserved.

    Copyright © 2010-2011 Alex Brick . All rights reserved.

    Copyright © 2012 The University of Wisconsin-La Crosse. All rights reserved.

    Copyright © 2013-2014 Intel, Inc. All rights reserved.

    Copyright © 2011-2014 NVIDIA Corporation. All rights reserved.

    Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

    - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

    - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer listed in this license in the documentation and/or other materials provided with the distribution.

    - Neither the name of the copyright holders nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

    The copyright holders provide no reassurances that the source code provided does not infringe any patent, copyright, or any other intellectual property rights of third parties. The copyright holders disclaim any liability to any recipient for claims brought against recipient by any third party for infringement of that parties intellectual property rights.

    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

  • The Safe C Library is distributed under the following copyright:

    Copyright (c)

    Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

    The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

  • HPL Copyright Notice and Licensing Terms

    Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

    1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

    2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation and/or other materials provided with the distribution.

    3. All advertising materials mentioning features or use of this software must display the following acknowledgement: This product includes software developed at the University of Tennessee, Knoxville, Innovative Computing Laboratories.

    4. The name of the University, the name of the Laboratory, or the names of its contributors may not be used to endorse or promote products derived from this software without specific written permission.