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Optimized math routines developed by Intel
Intel oneAPI Math Kernel Library (Intel oneMKL), formerly known as Intel Math Kernel Library, is a library of optimized math routines for science, engineering
Math_Kernel_Library
Routines for performing common linear algebra operations
library branches include: OpenBLAS, BLIS (BLAS-like Library Instantiation Software), Arm Performance Libraries, ATLAS, and Intel Math Kernel Library (iMKL)
Basic Linear Algebra Subprograms
Basic_Linear_Algebra_Subprograms
Open standard for parallel computing
com/oneapi-src/level-zero https://community.intel.com/t5/Intel-oneAPI‑Math‑Kernel‑Library/Using‑community‑license‑of‑Intel‑MKL‑for‑multiple‑users/m-p/1095247
OneAPI_(compute_acceleration)
is a vector mathematics library with performance comparable with Intel's Math Kernel Library Hermes Project: C++/Python library for rapid prototyping of
List_of_numerical_libraries
Algorithms to produce pseudo-random numbers
randomization system"). ARS is used in recent versions of Intel's Math Kernel Library and gets good performance by using instructions from the AES-NI instruction
Counter-based random number generator
Counter-based_random_number_generator
Windows and platforms that support Mono. Optional support for Intel Math Kernel Library (Microsoft Windows and Linux) Optional F# extensions for more idiomatic
Math.NET_Numerics
Floating-point number format used in computer processors
chips and later. Many libraries support bfloat16, such as CUDA, Intel oneAPI Math Kernel Library, AMD ROCm, AMD Optimizing CPU Libraries, PyTorch, and TensorFlow
Bfloat16 floating-point format
Bfloat16_floating-point_format
Tabular comparison of deep learning software
Acceleration Library (Intel® DAAL)". software.intel.com. November 20, 2018. "Intel® Math Kernel Library Release Notes and New Features". Intel. "Intel® Math Kernel
Comparison of deep learning software
Comparison_of_deep_learning_software
Gradient boosting machine learning library
XGBoost (eXtreme Gradient Boosting) is an open-source software library which provides a regularizing gradient boosting framework for C++, Java, Python
XGBoost
Programming language
library. LEMON (C++ library) LevelDB Libarc LibLAS Libsigc++ Libx (graphics library) LiteSQL LIVE555 Loki (C++) Math Kernel Library (MKL) — a library
Outline of the C++ programming language
Outline_of_the_C++_programming_language
Book by Brian Kernighan and Dennis Ritchie
coding style used by convention in the source code for the Unix and Linux kernels. The C++ Programming Language The Preparation of Programs for an Electronic
The_C_Programming_Language
Matrix decomposition method
their implementations on page topic Intel® oneAPI Math Kernel Library Intel-Optimized Math Library for Numerical Computing ?potrf, ?potrs Generating Correlated
Cholesky_decomposition
Algebraic operation on coordinate vectors
sum(conj(X) .* Y, dim), and similar code as Matlab Intel oneAPI Math Kernel Library real p?dot dot = sub(x)'*sub(y); complex p?dotc dotc = conjg(sub(x)')*sub(y)
Dot_product
List of notable software written in or for the C++ programming language
Windows APIs. C3D Toolkit — geometric modeling kernel Caffe — deep learning framework CAPD — library for rigorous numerics and dynamical systems Cassowary
List of C++ software and tools
List_of_C++_software_and_tools
Programming language
The C standard library provides fundamental routines for: Input/output (stdio.h) String handling (string.h) Mathematical computations (math.h) Memory management
Outline of the C programming language
Outline_of_the_C_programming_language
Computer vision library
OpenCV (Open Source Computer Vision Library) is a library of programming functions mainly for real-time computer vision. Originally developed by Intel
OpenCV
MKL (Intel Math Kernel Library) - includes all required BLAS, CBLAS, LAPACK and FFT routines (FFTW not required); ACML (AMD Core Math Library) - includes
IT++
Collection of C++ libraries
The Boost C++ Libraries (also known simply as Boost) are a set of libraries for the C++ programming language that provides support for tasks and structures
Boost_(C++_libraries)
Software used in mathematical applications
creating a program or library that can easily be applied to other problems of similar type. Maxima Mathematica Maple SageMath SymPy ADMB ALGLIB AIMMS
Mathematical_software
Open-source software
(ATLAS) BLIS (BLAS-like Library Instantiation Software) List of open-source mathematical libraries Intel Math Kernel Library (MKL) "OpenBLAS 0.3.33 version"
OpenBLAS
Discrete Fourier transform algorithm
Architecture-specific: Arm Performance Libraries Intel Integrated Performance Primitives Intel Math Kernel Library Many more implementations are available
Fast_Fourier_transform
Optimizing C/C++ and Fortran compiler suite
Optimizing CPU Libraries (AOCL), a set of numerical libraries that is roughly similar to Intel's Math Kernel Library and includes AMD Math Library (LibM), AMD
AMD_Optimizing_C/C++_Compiler
Performance Library Open64 – AMD has an Open64 compiler distribution that can be used with ACML Math Kernel Library (MKL) AMD Core Math Library Product Features[dead
AMD_Core_Math_Library
International online program by Intel
Intel VTune Amplifier, and libraries like Intel Integrated Performance Primitives (Intel IPP) and Intel Math Kernel Library (Intel MKL). The primary web
Intel_Developer_Zone
General-purpose programming language
construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system. During the 1980s, C gradually gained popularity
C_(programming_language)
Collection of classes and functions used in the C++ programming language
In the C++ programming language, the C++ Standard Library is a collection of classes and functions, which are written in the core language and part of
C++_Standard_Library
American computer scientist
Lis Math Kernel Library MINPACK NAG Fortran Library Netlib PETSc QUADPACK SLATEC SOFA Fortran scientific libraries ABINIT Cantera CERN Program Library CP2K
John_Backus
General-purpose programming language
8651-1:1988 Information processing systems – Computer graphics – Graphical Kernel System (GKS) language bindings – Part 1: FORTRAN. Geneva, Switzerland: ISO
Fortran
General-purpose programming language
started working in AT&T Bell Labs, he had the problem of analyzing the UNIX kernel with respect to distributed computing. Remembering his PhD experience, Stroustrup
C++
Topics referred to by the same term
Kuala Lumpur, MKL), Kuala Lumpur, Malaysia Math Kernel Library, an Intel software library Multiple kernel learning in machine learning McCall Aviation
MKL
Concept in statistics
and F#, Math.NET Numerics is an open source library for numerical computation which includes kernel density estimation In CrimeStat, kernel density estimation
Kernel_density_estimation
Software library for the C++ programming language
The Standard Template Library (STL) was a software library originally designed by Alexander Stepanov for the C++ programming language that influenced many
Standard_Template_Library
C++ programming library
Intel oneAPI Data Analytics Library (oneDAL) Intel oneAPI Math Kernel Library (oneMKL) Intel Cryptography Primitives Library Intel Advisor Intel Inspector
Threading_Building_Blocks
Object-oriented framework for software development
the KDE project submits many patches and features from its developer library KDE Frameworks back to Qt. List of widget toolkits Android software development
Qt_(software)
Function equal to cos x + i sin x
various high-performance math libraries (such as Intel's Math Kernel Library (MKL) or MathCW), available for many compilers and programming languages (including
Cis_(mathematics)
Fortran software and development tools
EISPACK Harwell Subroutine Library IMSL Numerical Libraries LAPACK Librsb LINPACK Lis Math Kernel Library MINPACK NAG Fortran Library Netlib ODEPACK PETSc pFUnit
List of Fortran software and tools
List_of_Fortran_software_and_tools
Technique in statistics
In statistics, kernel regression is a non-parametric technique to estimate the conditional expectation of a random variable. The objective is to find a
Kernel_regression
Compiler
Cilk Plus Data Analytics Library Intel Developer Zone Intel Fortran Compiler Integrated Performance Primitives Math Kernel Library Intel Parallel Studio
Intel_C++_Compiler
Core of a computer operating system
kernel is a computer program at the core of a computer's operating system that always has complete control over everything in the system. The kernel is
Kernel_(operating_system)
Computer security technique
and the positions of the stack, heap and libraries. When applied to the kernel, this technique is called kernel address space layout randomization (KASLR)
Address space layout randomization
Address_space_layout_randomization
Numerical software library
Algebra Software (ATLAS) List of open-source mathematical libraries OpenBLAS Intel Math Kernel Library (MKL) Releases · flame/blis – GitHub Van Zee, Field;
BLIS_(software)
Group of Fortran compilers
Performance Primitives (IPP) oneAPI Data Analytics Library (oneDAL) Intel oneAPI Math Kernel Library (oneMKL) oneAPI Threading Building Blocks (oneTBB)
Intel_Fortran_Compiler
Software library for numerical linear algebra
numerical libraries List of open-source mathematical libraries Math Kernel Library (MKL) NAG Numerical Library SLATEC, a FORTRAN 77 library of mathematical
LAPACK
Intel oneAPI HPC Toolkit Intel oneAPI Data Analytics Library (oneDAL) Intel oneAPI Math Kernel Library (oneMKL) Intel oneAPI Threading Building Blocks (oneTBB)
Integrated Performance Primitives
Integrated_Performance_Primitives
Software development product by Intel
Performance Primitives (IPP) Math Kernel Library (MKL) Threading Building Blocks (TBB) Data Analytics Acceleration Library (DAAL) Intel Advisor - specialized
Intel_Parallel_Studio
software library to solve discretized linear equations and eigenvalue problems Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) Math Kernel Library
List_of_C_software_and_tools
Fortran compiler
Lis Math Kernel Library MINPACK NAG Fortran Library Netlib PETSc QUADPACK SLATEC SOFA Fortran scientific libraries ABINIT Cantera CERN Program Library CP2K
GNU_Fortran
cryptography libraries Graphics library Harbour libraries and tools List of .NET libraries and frameworks List of 3D graphics libraries List of C++ multiple
List of open-source code libraries
List_of_open-source_code_libraries
Type of kernel induced by artificial neural networks
study of artificial neural networks (ANNs), the neural tangent kernel (NTK) is a kernel that describes the evolution of deep artificial neural networks
Neural_tangent_kernel
Free software
Mathematica Kernel: Issues in the Design and Implementation". October 2006. Retrieved 2013-03-17. "The GNU Multiple Precision (GMP) Library". Maplesoft
GNU Multiple Precision Arithmetic Library
GNU_Multiple_Precision_Arithmetic_Library
General purpose C++ library
The Portable Components (POCO) C++ Libraries are computer software, a set of class libraries for developing computer network-centric, portable applications
POCO_C++_Libraries
Blitz++ is a high-performance vector mathematics library written in C++. This library is intended for use in scientific applications that might otherwise
Blitz++
GNU implementation of the standard C library
The GNU C Library project provides the core libraries for the GNU system, as well as many systems that use Linux as the kernel. These libraries provide
Glibc
Open-source web programming environment
The Lively Kernel is an open-source web programming environment, developed by Dan Ingalls when he was at SAP Research. It supports desktop-style applications
Lively_Kernel
Vectors mapped to 0 by a linear map
In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of
Kernel_(linear_algebra)
Set of rules defining correctly structured C++ program
conditional directive) The following macros are defined in the C/C++ standard library: NULL (expands to (void*)0, used prior to the introduction of nullptr to
C++_syntax
a comparison of notable optimization software libraries, either specialized or general purpose libraries with significant optimization coverage. List of
Comparison of optimization software
Comparison_of_optimization_software
(library) by Google qooxdoo React.js by Meta/Facebook Vue.js Webix WinJS Svelte Glow Lively Kernel Script.aculo.us YUI Library Google Closure Library JsPHP
List_of_JavaScript_libraries
Technique to dynamically modify runtime code
the standard Python math library to make it compliant with the Indiana pi bill. >>> import math >>> math.pi 3.141592653589793 >>> math.pi = 3.2 # monkey-patch
Monkey_patch
2024 revision introduced SIMD vectorisation (Intel compiler and Math Kernel Library), achieving an approximately eightfold single-core speedup for coherent
Sassena
Intel Math Kernel Library (Microsoft Windows and Linux) Archived official site CodePlex archive Math.NET Numerics List of numerical libraries list of
DnAnalytics
Supercomputer of Taiwan
Fortran and C++ Linux 2020 Update 4 Math library : Intel Math Kernel Library for Linux 2020 Update 4 MPI : Intel MPI Library for Linux 2019 Update 9 Hardware
Taiwania_3
publicly available parallel libraries: the Message Passing Interface, Threading Building Blocks, and Math Kernel Library. Intel only specifies the requirements
Intel_Cluster_Ready
Standard library for the C programming language
function if the C library is erased. This is true for applications which are dynamically as opposed to statically linked. Further, the kernel itself (at least
C_standard_library
or MKL. Automatically Tuned Linear Algebra Software (ATLAS) Intel Math Kernel Library (MKL) Markoff, John Gregory (2005-11-28). "Writing the Fastest Code
GotoBLAS
Computational software program
command butlast. Mathematica is split into two parts: the kernel and the front end. The kernel interprets expressions (Wolfram Language code) and returns
Wolfram_Mathematica
Structure of the operating system
resources of the computer. The Windows NT kernel is a hybrid kernel; the architecture comprises a simple kernel, hardware abstraction layer (HAL), drivers
Architecture_of_Windows_NT
Open standard for programming heterogenous computing systems, such as CPUs or GPUs
recursion is forbidden. The C standard library is replaced by a custom set of standard functions, geared toward math programming. OpenCL C is extended to
OpenCL
Programming language
the math library to get access to the sqrt function. // Imported with `math` as name, so accesses need to use `math.` as prefix. import 'dart:math' as
Dart_(programming_language)
Parallel computing platform: GPGPU libraries and application programming interface
heterogeneous computing. It offers several programming models: HIP (GPU-kernel-based programming), OpenMP (directive-based programming), and OpenCL. ROCm
ROCm
Mathematical problem in classical harmonic analysis
D_{n}(t)={\frac {\sin((n+{\frac {1}{2}})t)}{\sin(t/2)}}.} The Dirichlet kernel is not a positive kernel, and in fact, its norm diverges, namely ∫ | D n ( t ) | d t
Convergence_of_Fourier_series
Implementation of C standard library for embedded systems based on Linux
uClibc (sometimes written μClibc) is a small C standard library intended for Linux kernel-based operating systems for embedded systems and mobile devices
UClibc
Chinese artificial intelligence company
run on the CPU to avoid blocking kernels on the GPU. It uses two-tree broadcast like NCCL. hfai.nn: Software library of commonly used operators for neural
DeepSeek
Parallel computing platform and programming model
as necessary, and a library of APIs that enable parallel computation for various needs. In addition to drivers and runtime kernels, the CUDA platform includes
CUDA
American mathematician (1895–1977)
Behnke, H. (1952). "Review: Stefan Bergman, The kernel function and conformal mapping". Bull. Amer. Math. Soc. 58 (1): 76–78. doi:10.1090/s0002-9904-1952-09553-7
Stefan_Bergman
Software library for linear algebra
and multiple implementation Every ATLAS level 1 BLAS function has its own kernel. Since it would be difficult to maintain thousands of cases in ATLAS there
Automatically Tuned Linear Algebra Software
Automatically_Tuned_Linear_Algebra_Software
64-bit extension of x86 architecture
64-bit kernel. For Solaris 11, only the 64-bit kernel is provided. However, the 64-bit kernel supports both 32- and 64-bit executables, libraries, and system
X86-64
Distributed operating system
and a real-time coloring collector that gathers cyclic data. The Inferno kernel contains the virtual machine, on-the-fly compiler, scheduler, devices, protocol
Inferno_(operating_system)
Statistical model
{\displaystyle {\mathcal {H}}(R)} be a reproducing kernel Hilbert space with positive definite kernel R {\displaystyle R} . Driscoll's zero-one law is a
Gaussian_process
and to be effective may require a large library of algorithms, efficient data structures, and a fast kernel. These computer algebra systems are sometimes
List of computer algebra systems
List_of_computer_algebra_systems
Distribution over functions corresponding to an infinitely wide Bayesian neural network
is a free and open-source Python library used for computing and doing inference with the NNGP and neural tangent kernel corresponding to various common
Neural network Gaussian process
Neural_network_Gaussian_process
Theoretical framework in harmonic analysis
{\displaystyle u(x,y)=\int _{\mathbb {R} ^{n}}P_{y}(t)f(x-t)\,dt} where the Poisson kernel P on the upper half space { ( y ; x ) ∈ R n + 1 ∣ y > 0 } {\displaystyle
Littlewood–Paley_theory
Most widely known generalized inverse of a matrix
annihilates the kernel of A {\displaystyle A} and acts as a traditional inverse of A {\displaystyle A} on the subspace orthogonal to the kernel. In the
Moore–Penrose_inverse
Computer algebra system
Multiple Precision Arithmetic Library) providing faster computations than PARI/GP's native arbitrary-precision kernel. PARI/GP's progenitor was a program
PARI/GP
Computer programming paradigm
some limitations on the kernel or stream size. For example, consumer hardware often lacks the ability to perform high-precision math, lacks complex indirection
Stream_processing
Software projects developed at universities
(Toronto) Accent kernel – operating system kernel and predecessor to Mach (Carnegie Mellon) Aleph kernel – early operating-system kernel for the Rochester's
List of software developed at universities
List_of_software_developed_at_universities
C function to format and output text
formatting and outputting text; like printf() library function printk – Printf-like function for the Linux kernel scanf – Control parameter used in programming
Printf
Computational operation
gnu.org. Archived from the original on 2025-12-10. Retrieved 2026-05-23. "Kernel — Elixir v1.11.3". hexdocs.pm. Retrieved 2021-01-28. "Integer — Elixir v1
Modulo
Problem in graph theory
solved in time 8 k O ( n 4 ) {\displaystyle 8^{k}O(n^{4})} and admits a kernel of size O ( k 5 ) {\displaystyle O(k^{5})} . They also extended the fixed-parameter
Maximum_cut
language SageMath – mathematics and data analysis environment SciPy – scientific computing library scikit-learn – Python machine learning library TensorFlow
List of free and open-source software packages
List_of_free_and_open-source_software_packages
Computer algebra system
multiplicities (volumes) and Hilbert series. The kernel of Normaliz is a templated C++ class library. For multivariate polynomial arithmetic it uses CoCoALib
Normaliz
Instructions for the x86 microprocessors
2012, which was included in the 9.1 stable release. Linux: supported since kernel version 2.6.30, released on June 9, 2009. macOS: support added in 10.6.8
Advanced_Vector_Extensions
Operating system
contains the MTOE bundles plus extensive graphics applications, MPI and Math Libraries. This OE is bundled as HP-UX 11i-TCOE. HP-UX 11i v1 (11.11) According
HP-UX
Open source data science software
environments (called "kernels") in several dozen languages, including Julia, R, Haskell, Ruby, and Python (via the IPython kernel). In 2015, about 200
Project_Jupyter
Identity for a sequence of orthogonal polynomials
n=0,1,\dots } which are called the Christoffel–Darboux kernels. By the orthogonality, the kernel satisfies ∫ f ( y ) K n ( x , y ) d μ ( y ) = { f ( x
Christoffel–Darboux_formula
μC/OS-II, μC/OS-III μKOS Unison uT-kernel u-velOSity RTOS Zephyr The following are free C/C++ libraries: ARM Cortex libraries: Cortex Microcontroller Software
List of ARM Cortex-M development tools
List_of_ARM_Cortex-M_development_tools
Keyword in programming languages
actual data type of a variable. For example, Greg Kroah-Hartman, a Linux kernel hacker and documenter, discourages their use for anything except function
Typedef
Type of computer processor
add-in card they christened the KillerNIC which ran its own special Linux kernel on a FreeScale PowerQUICC running at 400 MHz, calling the FreeScale chip
Coprocessor
Integral transform and linear operator
convolution of u(t) with the function h(t) = 1/πt, known as the Cauchy kernel. Because 1/t is not integrable across t = 0, the integral defining the convolution
Hilbert_transform
Software documentation on Unix systems
suffix; for example, in some systems, section 3C is for C library calls, 3M is for the math library, and so on. A consequence of this is that section 8 (system
Man_page
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
Female
English
Variant form of English Keren, KERENA means "horn (of an animal)."Â
Male
English
Middle English form of Anglo-Saxon Cenhelm, KENELM means "keen protection."Â
Boy/Male
Biblical
God hath raised up; or established him.
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Male
Romanian
Romanian form of Greek Kornelios, CORNEL means "of a horn."
Male
Scandinavian
Scandinavian form of English Kenneth, KENNET means both "comely; finely made" and "born of fire."Â
Male
Slovene
Slovene form of Greek Bartholomaios, JERNEJ means "son of Talmai."
Male
English
Variant spelling of English Matt, MAT means "gift of God."
Girl/Female
Australian, Celtic, Christian, Irish
Kernel; Nut
Female
English
Short form of English Katherine, KATH means "pure."
Female
English
Medieval English contracted form of Roman Latin Petronel, PERONEL means "little rock."
Surname or Lastname
Swedish
Swedish : ornamental name formed with the common surname suffix -ell. The first element is unexplained, possibly from a place-name.English, Scottish, and northern Irish : unexplained; possibly a respelling of Scottish Kerneil, a habitational name from Carneil in Carnock, Fife.
Girl/Female
Australian, Chinese, Christian, Danish, German, Irish
Kernel; Nut
Male
Polish
Polish form of Roman Latin Cornelius, KORNELI means "of a horn."
Male
English
Short form of English Matthew, MATT means "gift of God."
Female
English
English short form of French Catherine, CATH means "pure."
Female
English
Variant spelling of English Muriel, MERIEL means "sea-bright."
Biblical
God hath raised up, God has established him
Male
Scandinavian
Scandinavian form of German Werner, VERNER means "Warin warrior," i.e. "covered warrior."
Girl/Female
Australian, Celtic, Christian, Irish
Graceful; Kernel
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
Girl/Female
Arabic, Muslim
Happiness
Girl/Female
American, Australian, Chinese, French, German, Latin, Spanish
Light
Girl/Female
Bengali, Hindu, Indian, Tamil
Goddess Durga
Girl/Female
Arabic, Australian, Hebrew, Muslim
Knowledgeable
Boy/Male
Australian, Dutch, Finnish, German
God of Irrationality
Male
Spanish
Portuguese and Spanish form of Anglo-Saxon Eadmund, EDMUNDO means "protector of prosperity."
Surname or Lastname
English
English : variant of Hollings.
Boy/Male
Tamil
Kantarav | கநà¯à®¤à®¾à®°à®µÂ
Boy/Male
Anglo, British, Celtic, English, French
From the Green Hill
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Destroyer of Sin
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
MATH KERNEL-LIBRARY
v. i.
To be or become a mate or mates, especially in sexual companionship; as, some birds mate for life; this bird will not mate with that one.
v. i.
To harden or ripen into kernels; to produce kernels.
n.
The essential part of a seed; all that is within the seed walls; the edible substance contained in the shell of a nut; hence, anything included in a shell, husk, or integument; as, the kernel of a nut. See Illust. of Endocarp.
a.
Full of kernels; resembling kernels; of the nature of kernels.
n.
See Weanel.
v. i.
To be united in marriage; to mate.
n.
Any nocturnal lepidopterous insect, or any not included among the butterflies; as, the luna moth; Io moth; hawk moth.
v. t.
To put or keep in a kennel.
n.
Any lepidopterous insect that feeds upon garments, grain, etc.; as, the clothes moth; grain moth; bee moth. See these terms under Clothes, Grain, etc.
n.
The central, substantial or essential part of anything; the gist; the core; as, the kernel of an argument.
n.
A single seed or grain; as, a kernel of corn.
a.
See 2d Mat.
n.
An officer in a merchant vessel ranking next below the captain. If there are more than one bearing the title, they are called, respectively, first mate, second mate, third mate, etc. In the navy, a subordinate officer or assistant; as, master's mate; surgeon's mate.
v. t.
To be a mate or match for; to be able to complete with; to rival successfully; to equal.
imp. & p. p.
of Kern
n.
See Kimnel.
n.
A suitable companion; a match; an equal.
v. t.
To match; to marry.
imp. & p. p.
of Kernel