Developer Reference

  • 2021.1
  • 12/04/2020
  • Public Content

Developer Reference for
Intel® oneAPI
Math Kernel Library
- C

Intel® oneAPI Math Kernel Library (oneMKL)
improves performance with math routines for software applications that solve large computational problems.
provides BLAS and LAPACK linear algebra routines, fast Fourier transforms, vectorized math functions, random number generation functions, and other functionality.
Intel® Math Kernel Library is now
Intel® oneAPI Math Kernel Library (oneMKL)
. Documentation for older versions of Intel® Math Kernel Library is available for download only. For a list of available documentation downloads by product version, see these pages:
Fortran interface:
Developer Reference for
Intel® oneAPI
Math Kernel Library
- Fortran
This publication describes the
Basic Linear Algebra Subprograms (BLAS)
The BLAS routines provide vector, matrix-vector, and matrix-matrix operations.
Sparse BLAS
The Sparse BLAS routines provide basic operations on sparse vectors and matrices.
Sparse QR
The Sparse QR Routines provide a multifrontal sparse QR factorization method for solving a sparse system of linear equations.
The LAPACK routines solve systems of linear equations, least square problems, eigenvalue and singular value problems, and Sylvester's equations.
Statistical Functions
The Statistical Functions provides a set of routines implementing commonly used pseudorandom random number generators (RNG) with continuous distribution.
Direct and Iterative Sparse Solvers
Among several options for solving sparse linear systems of equations,
offers a direct sparse solver based on PARDISO*, which is referred to here as Intel MKL PARDISO.
Vector Mathematics Functions
The Vector Mathematics (VM) functions compute core mathematical functions on vector arguments.
Vector Statistics Functions
The Vector Statistics (VS) functions generate vectors of pseudorandom numbers with different types of statistical distributions and perform convolution and correlation computations.
Fourier Transform Functions
The Fourier Transform Functions offer several options for computing Fast Fourier Transforms (FFTs).
Optimization Notice
Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.
Notice revision #20110804
This notice covers the following instruction sets: SSE2, SSE4.2, AVX2, AVX-512.

Product and Performance Information


Performance varies by use, configuration and other factors. Learn more at