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What's New
Introduction to the Intel® oneAPI Math Kernel Library (oneMKL) BLAS and LAPACK with DPC++
Overview of Intel® oneMKL BLAS Routines for Data Parallel C++
Overview of Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS for DPC++
Overview of Intel® oneMKL LAPACK Routines for Data Parallel C++
Data Types
Matrix Storage
Error Handling
BLAS Routines
Sparse BLAS Routines
LAPACK Routines
Vector Mathematical Functions
Random Number Generators
Summary Statistics
Fourier Transform Functions
Data Fitting
Bibliography
Appendix A: oneMKL Functionality
Notices and Disclaimers
Sparse BLAS Matrix Handle Contract between User and Library
Sparse BLAS Supported Data and Integer Types
Sparse Storage Formats
oneapi::mkl::sparse::init_matrix_handle
oneapi::mkl::sparse::release_matrix_handle
oneapi::mkl::sparse::set_csr_data
oneapi::mkl::sparse::set_matrix_property
oneapi::mkl::sparse::optimize_gemv
oneapi::mkl::sparse::optimize_trmv
oneapi::mkl::sparse::optimize_trsv
oneapi::mkl::sparse::gemv
oneapi::mkl::sparse::gemvdot
oneapi::mkl::sparse::symv
oneapi::mkl::sparse::trmv
oneapi::mkl::sparse::trsv
oneapi::mkl::sparse::gemm
oneapi::mkl::sparse::init_matmat_descr
oneapi::mkl::sparse::set_matmat_data
oneapi::mkl::sparse::get_matmat_data
oneapi::mkl::sparse::release_matmat_descr
oneapi::mkl::sparse::matmat
oneapi::mkl::sparse::omatcopy
oneapi::mkl::sparse::sort_matrix
gebrd
gebrd (USM Version)
gebrd_scratchpad_size
gels_batch (Buffer Strided Version)
gels_batch (USM Strided Version)
gels_batch_scratchpad_size (Strided Version)
geqrf
geqrf (USM Version)
geqrf_batch (Buffer Strided Version)
geqrf_batch (Group Version)
geqrf_batch (USM Strided Version)
geqrf_batch_scratchpad_size (Group Version)
geqrf_batch_scratchpad_size (Strided Version)
geqrf_scratchpad_size
gerqf
gerqf (USM Version)
gerqf_scratchpad_size
gesvd
gesvd (USM Version)
gesvd_scratchpad_size
getrf
getrf (USM Version)
getrf_batch (Buffer Strided Version)
getrf_batch (Group Version)
getrf_batch (USM Strided Version)
getrf_batch_scratchpad_size (Group Version)
getrf_batch_scratchpad_size (Strided Version)
getrf_scratchpad_size
getrfnp_batch (Buffer Strided Version)
getrfnp_batch (Group Version)
getrfnp_batch (USM Strided Version)
getrfnp_batch_scratchpad_size (Group Version)
getrfnp_batch_scratchpad_size (Strided Version)
getri
getri (USM Version)
getri_batch (Buffer Strided Version)
getri_batch (Group Version)
getri_batch (USM Strided Version)
getri_batch_scratchpad_size (Group Version)
getri_batch_scratchpad_size (Strided Version)
getri_batch (Out-of-place, Buffer Strided Version)
getri_batch (Out-of-place, USM Strided Version)
getri_batch_scratchpad_size (Strided Version)
getri_scratchpad_size
getrs
getrs (USM Version)
getrs_batch (Buffer Strided Version)
getrs_batch (Group Version)
getrs_batch (USM Strided Version)
getrs_batch_scratchpad_size (Group Version)
getrs_batch_scratchpad_size (Strided Version)
getrs_scratchpad_size
getrsnp_batch (Buffer Strided Version)
getrsnp_batch (USM Strided Version)
getrsnp_batch_scratchpad_size (Strided Version)
heevd
heevd (USM Version)
heevd_scratchpad_size
hegvd
hegvd (USM Version)
hegvd_scratchpad_size
hetrd
hetrd (USM Version)
hetrd_scratchpad_size
hetrf
hetrf (USM Version)
hetrf_scratchpad_size
orgbr
orgbr (USM Version)
orgbr_scratchpad_size
orgqr
orgqr (USM Version)
orgqr_batch (Buffer Strided Version)
orgqr_batch (Group Version)
orgqr_batch (USM Strided Version)
orgqr_batch_scratchpad_size (Group Version)
orgqr_batch_scratchpad_size (Strided Version)
orgqr_scratchpad_size
orgtr
orgtr (USM Version)
orgtr_scratchpad_size
ormqr
ormqr (USM Version)
ormqr_scratchpad_size
ormrq
ormrq (USM Version)
ormrq_scratchpad_size
ormtr
ormtr (USM Version)
ormtr_scratchpad_size
potrf
potrf (USM Version)
potrf_batch (Buffer Strided Version)
potrf_batch (Group Version)
potrf_batch (USM Strided Version)
potrf_batch_scratchpad_size (Group Version)
potrf_batch_scratchpad_size (Strided Version)
potrf_scratchpad_size
potri
potri (USM Version)
potri_scratchpad_size
potrs
potrs (USM Version)
potrs_batch (Buffer Strided Version)
potrs_batch (Group Version)
potrs_batch (USM Strided Version)
potrs_batch_scratchpad_size (Group Version)
potrs_batch_scratchpad_size (Strided Version)
potrs_scratchpad_size
syevd
syevd (USM Version)
syevd_scratchpad_size
sygvd
sygvd (USM Version)
sygvd_scratchpad_size
sytrd
sytrd (USM Version)
sytrd_scratchpad_size
sytrf
sytrf (USM Version)
sytrf_scratchpad_size
trtrs
trtrs (USM Version)
trtrs_scratchpad_size
ungbr
ungbr (USM Version)
ungbr_scratchpad_size
ungqr
ungqr (USM Version)
ungqr_batch (Buffer Strided Version)
ungqr_batch (Group Version)
ungqr_batch (USM Strided Version)
ungqr_batch_scratchpad_size (Group Version)
ungqr_batch_scratchpad_size (Strided Version)
ungqr_scratchpad_size
ungtr
ungtr (USM Version)
ungtr_scratchpad_size
unmqr
unmqr (USM Version)
unmqr_scratchpad_size
unmrq
unmrq (USM Version)
unmrq_scratchpad_size
unmtr
unmtr (USM Version)
unmtr_scratchpad_size
oneapi::mkl::rng::mrg32k3a
oneapi::mkl::rng::philox4x32x10
oneapi::mkl::rng::mcg31m1
oneapi::mkl::rng::mcg59
oneapi::mkl::rng::r250
oneapi::mkl::rng::wichmann_hill
oneapi::mkl::rng::mt19937
oneapi::mkl::rng::sfmt19937
oneapi::mkl::rng::mt2203
oneapi::mkl::rng::ars5
oneapi::mkl::rng::sobol
oneapi::mkl::rng::niederreiter
oneapi::mkl::rng::nondeterministic
Distributions Template Parameter Method
oneapi::mkl::rng::uniform (Continuous)
oneapi::mkl::rng::gaussian
oneapi::mkl::rng::exponential
oneapi::mkl::rng::laplace
oneapi::mkl::rng::weibull
oneapi::mkl::rng::cauchy
oneapi::mkl::rng::rayleigh
oneapi::mkl::rng::lognormal
oneapi::mkl::rng::gumbel
oneapi::mkl::rng::gamma
oneapi::mkl::rng::beta
oneapi::mkl::rng::chi_square
oneapi::mkl::rng::gaussian_mv
oneapi::mkl::rng::uniform (Discrete)
oneapi::mkl::rng::uniform_bits
oneapi::mkl::rng::bits
oneapi::mkl::rng::bernoulli
oneapi::mkl::rng::geometric
oneapi::mkl::rng::binomial
oneapi::mkl::rng::hypergeometric
oneapi::mkl::rng::poisson
oneapi::mkl::rng::poisson_v
oneapi::mkl::rng::negative_binomial
oneapi::mkl::rng::multinomial
oneapi::mkl::rng::device::uniform (Continuous)
oneapi::mkl::rng::device::gaussian
oneapi::mkl::rng::device::lognormal
oneapi::mkl::rng::device::exponential
oneapi::mkl::rng::device::uniform (Discrete)
oneapi::mkl::rng::device::bits
oneapi::mkl::rng::device::uniform_bits
oneapi::mkl::rng::device::poisson
oneapi::mkl::rng::device::bernoulli
oneapi::mkl::stats::raw_sum
oneapi::mkl::stats::central_sum
oneapi::mkl::stats::central_sum with User-provided Mean
oneapi::mkl::stats::raw_moment
oneapi::mkl::stats::central_moment
oneapi::mkl::stats::central_moment with User-provided Mean
oneapi::mkl::stats::mean
oneapi::mkl::stats::variation
oneapi::mkl::stats::variation with User-provided Mean
oneapi::mkl::stats::skewness
oneapi::mkl::stats::skewness with User-provided Mean
oneapi::mkl::stats::kurtosis
oneapi::mkl::stats::kurtosis with User-provided Mean
oneapi::mkl::stats::min
oneapi::mkl::stats::max
oneapi::mkl::stats::min_max
descriptor<precision, domain>
descriptor<precision, domain>::set_value
descriptor<precision, domain>::get_value
descriptor<precision, domain>::commit
compute_forward<typename descriptor_type, typename data_type>
compute_backward<typename descriptor_type, typename data_type>
User-Allocated Workspaces
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Notices and Disclaimers
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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
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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 in the documentation and/or other materials provided with the distribution.
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.
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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.
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