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searching for LAPACK++ 93 found (96 total)

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Basic Linear Algebra Subprograms (3,908 words) [view diff] no match in snippet view article find links to article

links to BLAS/ATLAS and LAPACK. It is sponsored by NICTA (in Australia) and is licensed under a free license. LAPACK LAPACK is a higher level Linear
Armadillo (C++ library) (627 words) [view diff] no match in snippet view article
Linear Algebra PACKage (LAPACK), Automatically Tuned Linear Algebra Software (ATLAS), and ARPACK. High-performance BLAS/LAPACK replacement libraries such
IT++ (431 words) [view diff] no match in snippet view article find links to article
free and open source libraries, especially BLAS, LAPACK and FFTW libraries. Instead of BLAS and LAPACK, some optimized platform-specific libraries can
Matrix representation (465 words) [view diff] no match in snippet view article find links to article
which stores all the elements for a given row contiguously in memory. LAPACK defines various matrix representations in memory. There is also Sparse matrix
Automatically Tuned Linear Algebra Software (1,293 words) [view diff] no match in snippet view article find links to article
implementation of the BLAS APIs as well as some additional functions from LAPACK, a higher-level library built on top of BLAS. In BLAS, functionality is
Skyline matrix (435 words) [view diff] no match in snippet view article find links to article
for Cholesky for banded matrices (available for banded matrices, e.g. in LAPACK; for a prototype skyline code, see ). Before storing a matrix in skyline
Math Kernel Library (988 words) [view diff] no match in snippet view article find links to article
engineering, and financial applications. Core math functions include BLAS, LAPACK, ScaLAPACK, sparse solvers, fast Fourier transforms, and vector math. The library
ScaLAPACK (319 words) [view diff] no match in snippet view article find links to article
The ScaLAPACK (or Scalable LAPACK) library includes a subset of LAPACK routines redesigned for distributed memory MIMD parallel computers. It is currently
Comparison of linear algebra libraries (331 words) [view diff] no match in snippet view article find links to article
LAPACK Users' guide. SIAM. Anderson, E., Bai, Z., Dongarra, J., Greenbaum, A., McKenney, A., Du Croz, J., ... & Sorensen, D. (1990, November). LAPACK:
LINPACK (153 words) [view diff] no match in snippet view article find links to article
supercomputers in the 1970s and early 1980s. It has been largely superseded by LAPACK, which runs more efficiently on modern architectures. LINPACK makes use
PBLAS (162 words) [view diff] no match in snippet view article find links to article
architectures. It provides a computational backbone for ScaLAPACK, a parallel implementation of LAPACK. It depends on Level 1 sequential BLAS operations for
EISPACK (250 words) [view diff] no match in snippet view article find links to article
team as an undergraduate intern at Argonne, and later went on to create LAPACK, which has largely superseded EISPACK and LINPACK. Smith, Brian; Boyle,
Trilinos (550 words) [view diff] no match in snippet view article find links to article
algorithms and utilizes the functionality of software interfaces such as BLAS, LAPACK, and MPI. In 2004, Trilinos received an R&D100 Award. Several supercomputing
Couenne (410 words) [view diff] no match in snippet view article find links to article
COIN-OR Bonmin, COIN-OR Cgl, Interior Point OPTimizer (IPOPT)) and outside (LAPACK, Basic Linear Algebra Subprograms (BLAS), MUltifrontal Massively Parallel
Eigen (C++ library) (187 words) [view diff] no match in snippet view article
unrolling and vectorization. Eigen itself can provide BLAS and a subset of LAPACK interfaces. List of numerical libraries Numerical linear algebra Rasmus
Block reflector (229 words) [view diff] no match in snippet view article find links to article
belongs to R n {\displaystyle \mathbb {R} ^{n}} . Here are some of the LAPACK routines that apply to block reflectors "*larft" forms the triangular vector
Jblas: Linear Algebra for Java (368 words) [view diff] no match in snippet view article find links to article
created by Mikio Braun, for the Java programming language built upon BLAS and LAPACK. Unlike most other Java linear algebra libraries, jblas is designed to be
DnAnalytics (209 words) [view diff] no match in snippet view article find links to article
NET written in C# and F#. It featured functionality similar to BLAS and LAPACK. It was merged into Math.NET Numerics in 2009. The software library provides
Françoise Tisseur (423 words) [view diff] no match in snippet view article find links to article
PhD (Numerical Analysis) in 1997. She has contributed software to LAPACK, ScaLAPACK, and the MATLAB distribution. Tisseur is a member of the editorial
Packed storage matrix (565 words) [view diff] no match in snippet view article find links to article
matrix https://www.netlib.org/lapack/lug/ https://www.netlib.org/blas/ https://github.com/numericalalgorithmsgroup/LAPACK_Examples Golub, Gene H.; Van
Math.NET Numerics (485 words) [view diff] no match in snippet view article find links to article
Mono, written in C# and F#. It features functionality similar to BLAS and LAPACK. Math.NET Numerics started 2009 by merging code and teams of dnAnalytics
F2c (237 words) [view diff] no match in snippet view article find links to article
were unavailable or expensive. Several large Fortran libraries, such as LAPACK, were made available as C libraries via conversion with f2c. The f2c program
OpenBLAS (414 words) [view diff] no match in snippet view article find links to article
open-source implementation of the BLAS (Basic Linear Algebra Subprograms) and LAPACK APIs with many hand-crafted optimizations for specific processor types.
JAMA (numerical linear algebra library) (245 words) [view diff] no match in snippet view article
Institute of Standards and Technology in 1998 similar in functionality to LAPACK. The main capabilities provided by JAMA are: Eigensystem solving LU decomposition
NAG Numerical Library (487 words) [view diff] no match in snippet view article find links to article
In 1992, the Library incorporated LAPACK routines for the first time; NAG had been a collaborator in the LAPACK project since 1987. The first release
Template Numerical Toolkit (179 words) [view diff] no match in snippet view article find links to article
example, matrix multiplication). TNT is analogous to the BLAS library used by LAPACK. Higher level algorithms, such as LU decomposition and singular value decomposition
GPULib (450 words) [view diff] no match in snippet view article find links to article
Fourier Transforms (FFT), interpolation, BLAS matrix operations as well as LAPACK routines provided by MAGMA, and some image processing operations. All numeric
James Demmel (607 words) [view diff] no match in snippet view article find links to article
six years, he moved to Berkeley in 1990. Demmel is known for his work on LAPACK, a software library for numerical linear algebra and more generally for
Machine epsilon (2,983 words) [view diff] no match in snippet view article find links to article
floating-point formats. According to formal definition — used by Prof. Demmel, LAPACK and Scilab. It represents the largest relative rounding error in round-to-nearest
Netlib (339 words) [view diff] no match in snippet view article find links to article
AMPL Solver Library (ASL) Basic Linear Algebra Subprograms (BLAS) EISPACK LAPACK LINPACK MINPACK QUADPACK The SLATEC package is special in that it comprises
List of numerical-analysis software (2,482 words) [view diff] no match in snippet view article find links to article
m-file-script syntax providing some compatibility with MATLAB and its clones. LAPACK has Fortran 90 routines for solving systems of simultaneous linear equations
Absoft (3,378 words) [view diff] no match in snippet view article find links to article
levels 0 through 5. Absoft offers support for MPI (MPICH2 and Open MPI). ScaLAPACK and BLACS is shipped with all platforms. IMSL 7.0, integrated but available
Tridiagonal matrix (2,707 words) [view diff] no match in snippet view article find links to article
than a general matrix by using a special storage scheme. For instance, the LAPACK Fortran package stores an unsymmetric tridiagonal matrix of order n in three
RMG (program) (336 words) [view diff] no match in snippet view article
threads for intra-node parallelization. Other libraries used are Lapack, ScaLAPACK, FFTW, libxc and spglib. RMG runs on laptops, desktops, workstations
Bidiagonal matrix (327 words) [view diff] no match in snippet view article find links to article
floating-point arithmetic to compute singular values. List of matrices LAPACK Hessenberg form — The Hessenberg form is similar, but has more non-zero
Schur decomposition (1,518 words) [view diff] no match in snippet view article find links to article
{O}}(n^{3})} operations. See the Nonsymmetric Eigenproblems section in LAPACK Users' Guide. Lie theory applications include: Every invertible operator
ILNumerics (671 words) [view diff] no match in snippet view article find links to article
application development. ILNumerics added interfaces to popular codes (LAPACK, FFTW), complex numbers and generic mult-dimensional array classes. In 2010
Matrix Toolkit Java (505 words) [view diff] no match in snippet view article find links to article
standard linear algebra operations for dense matrices based on BLAS and LAPACK code. Partial set of sparse operations is provided through the Templates
Jack Dongarra (1,382 words) [view diff] no match in snippet view article find links to article
Basic Linear Algebra Subprograms (BLAS), Linear Algebra Package (LAPACK), ScaLAPACK, Parallel Virtual Machine (PVM), Message Passing Interface (MPI),
Process analytical chemistry (656 words) [view diff] no match in snippet view article find links to article
Wayne W.; Bredeweg, Robert A.; Chauvel, Jean Paul.; Harner, Richard S.; LaPack, Mark.; Leugers, Anne.; Martin, Daniel P.; Wright, Larry G.; Yalvac, E.
FFTPACK (119 words) [view diff] no match in snippet view article find links to article
type-kind-generic multi-precision implementation of FFTPACK in modern Fortran. FFTW LAPACK Official website Swarztrauber, P.N. (1982). "Vectorizing the FFTs". In Rodrigue
NumPy (2,460 words) [view diff] no match in snippet view article find links to article
scipy.sparse library. Internally, both MATLAB and NumPy rely on BLAS and LAPACK for efficient linear algebra computations. Python bindings of the widely
Man page (2,668 words) [view diff] no match in snippet view article find links to article
trailing-edge.com. Archived from the original on 2020-08-03. Retrieved 2020-05-06. "lapack (l) - Linux Man Pages". www.systutorials.com. Archived from the original
Cholesky decomposition (8,335 words) [view diff] no match in snippet view article find links to article
partial port of the LAPACK to C++, C#, Delphi, Visual Basic, etc. (spdmatrixcholesky, hpdmatrixcholesky) libflame is a C library with LAPACK functionality.
Deal.II (508 words) [view diff] no match in snippet view article find links to article
libraries including Gmsh, PETSc, Trilinos, METIS, SUNDIALS, VTK, p4est, BLAS, LAPACK, HDF5, NetCDF, and Open Cascade Technology. The software started from work
Numerical linear algebra (2,766 words) [view diff] no match in snippet view article find links to article
optimisation; C and Fortran have packages like Basic Linear Algebra Subprograms and LAPACK, Python has the library NumPy, and Perl has the Perl Data Language. Many
Band matrix (1,170 words) [view diff] no match in snippet view article find links to article
Cambridge University Press, ISBN 978-0-521-88068-8. Information pertaining to LAPACK and band matrices A tutorial on banded matrices and other sparse matrix
Hessenberg matrix (1,958 words) [view diff] no match in snippet view article find links to article
2016-10-21 Cornell University "Computational Routines (eigenvalues) in LAPACK". sites.science.oregonstate.edu. Retrieved 2020-05-24. Horn, Roger A.; Johnson
Givens rotation (3,246 words) [view diff] no match in snippet view article find links to article
end if return end Furthermore, as Edward Anderson discovered in improving LAPACK, a previously overlooked numerical consideration is continuity. To achieve
AMD Core Math Library (298 words) [view diff] no match in snippet view article find links to article
compiled for AMD64 processors. It includes the open source BLIS, libFLAME, ScaLAPACK, FFTW, and AOCL-Sparse, plus the original closed-source AMD LibM, memcpy
ARPACK (338 words) [view diff] no match in snippet view article find links to article
Matrix Algebra on GPU and Multicore Architectures (MAGMA) and NVIDIA CUDA. LAPACK, software library based on matrix transformations for dense matrices. Lehoucq
SageMath (877 words) [view diff] no match in snippet view article find links to article
FriCAS Combinatorics Symmetrica, Sage-Combinat Linear algebra ATLAS, BLAS, LAPACK, NumPy, LinBox, IML, GSL Graph theory NetworkX Group theory GAP Numerical
SLATEC (373 words) [view diff] no match in snippet view article find links to article
As http://www.netlib.org/linpack says, LINPACK is largely superseded by LAPACK. Walter H. Vandevender, Karen H. Haskell, The SLATEC mathematical subroutine
Nicholas Higham (1,044 words) [view diff] no match in snippet view article find links to article
estimation, and generalized eigenvalue problems. He has contributed software to LAPACK and the NAG library, and has contributed code included in the MATLAB distribution
QR decomposition (5,100 words) [view diff] no match in snippet view article find links to article
ISBN 978-0-521-88068-8 Online Matrix Calculator Performs QR decomposition of matrices. LAPACK users manual gives details of subroutines to calculate the QR decomposition
ROCm (2,098 words) [view diff] no match in snippet view article find links to article
uses the library Tensile privately. This pair of libraries constitutes the LAPACK implementation for ROCm and is strongly coupled to rocBLAS. ROCm developer
Scientific programming language (756 words) [view diff] no match in snippet view article find links to article
Used for performance-critical applications with libraries such as BLAS and LAPACK. Java Broad Sense Supports scientific computing via libraries like Apache
Array programming (2,610 words) [view diff] no match in snippet view article find links to article
benefits from quite efficient linear algebra libraries such as ATLAS or LAPACK. Returning to the previous quotation of Iverson, the rationale behind it
Macsyma (2,534 words) [view diff] no match in snippet view article find links to article
numerical analysis and linear algebra routines. (In 1996 Macsyma added LAPACK which greatly increased the speed of most numerical linear algebra.) . The
Sparse matrix (3,240 words) [view diff] no match in snippet view article find links to article
their solution. Armadillo provides a user-friendly C++ wrapper for BLAS and LAPACK. SciPy provides support for several sparse matrix formats, linear algebra
Qbox (679 words) [view diff] no match in snippet view article find links to article
OpenMP application programming interface. It makes use of the BLAS, LAPACK, ScaLAPACK, FFTW and Apache Xerces libraries. Qbox was designed for operation
Namespace (3,357 words) [view diff] no match in snippet view article find links to article
collisions. Likewise, many packages originally written in Fortran (e.g., BLAS, LAPACK) reserve the first few letters of a function's name to indicate the group
Moore–Penrose inverse (7,644 words) [view diff] no match in snippet view article find links to article
multiplication, even if a state-of-the art implementation (such as that of LAPACK) is used. The above procedure shows why taking the pseudoinverse is not
List of .NET libraries and frameworks (2,703 words) [view diff] no match in snippet view article find links to article
Software. It includes signal processing (FFT) classes, a linear algebra (LAPACK & BLAS) framework, and a statistics package. This is a low-level C# binding
LU decomposition (8,625 words) [view diff] no match in snippet view article find links to article
Computer code LAPACK is a collection of FORTRAN subroutines for solving dense linear algebra problems ALGLIB includes a partial port of the LAPACK to C++, C#
GotoBLAS (457 words) [view diff] no match in snippet view article find links to article
Mathematical Software. 35 (1): 1–14. doi:10.1145/1377603.1377607. "BLAS-LAPACK at TACC". Texas Advanced Computing Center. {{cite journal}}: Cite journal
LINPACK benchmarks (1,963 words) [view diff] no match in snippet view article find links to article
in 2010, he said he expects running times of 2.5 days in "a few years". LAPACK "The Linpack Benchmark, TOP500 Supercomputing Sites". Retrieved 2015-02-10
Computational science (3,387 words) [view diff] no match in snippet view article find links to article
variation of C or Fortran and optimized algebra libraries such as BLAS or LAPACK. In addition, parallel computing is heavily used in scientific computing
Sandia National Laboratories (3,513 words) [view diff] no match in snippet view article find links to article
density-functional theory. It utilizes libraries such as MPI, BLAS, and LAPACK and is developed under the GNU General Public License. Titan Informatics
Generalized singular value decomposition (4,126 words) [view diff] no match in snippet view article find links to article
_{1}X^{*},\\A_{2}&=U_{2}\Sigma _{2}X^{*}.\end{aligned}}} LAPACK (LA_GGSVD): A 1 = U 1 Σ 1 [ 0 , R ] Q ^ ∗ , A 2 = U 2 Σ 2 [ 0 , R ] Q ^
Kernel (linear algebra) (3,724 words) [view diff] no match in snippet view article
homogeneous systems. A state of the art software for this purpose is the Lapack library.[citation needed] Kernel (algebra) Zero set System of linear equations
Numerical Recipes (1,725 words) [view diff] no match in snippet view article find links to article
for the "black box" side, yielding important libraries such as BLAS and LAPACK, and integrated environments like MATLAB and Mathematica. By the early 1990s
Non-linear mixed-effects modeling software (602 words) [view diff] no match in snippet view article find links to article
methods, various stiff solvers and switching solvers such as LSODA of the LAPACK suite. A specialized form of pharmacokinetics modeling, physiology-based
Sylvester equation (1,708 words) [view diff] no match in snippet view article find links to article
{O}}(n^{3})} arithmetical operations,[citation needed] is used, among others, by LAPACK and the lyap function in GNU Octave. See also the sylvester function in
NEC SX-Aurora TSUBASA (1,548 words) [view diff] no match in snippet view article find links to article
ftraceviewer and veperf. Optimized numerical libraries for the VE: BLAS, SBLAS, LAPACK, SCALAPACK, ASL, Heterosolver. NEC MPI is also a proprietary implementation
Floating-point arithmetic (14,230 words) [view diff] no match in snippet view article find links to article
Fortran Compiler)". gcc.gnu.org. "Bug in zheevd · Issue #43 · Reference-LAPACK/lapack". GitHub. Becker, Heiko; Darulova, Eva; Myreen, Magnus O.; Tatlock,
List of finite element software packages (259 words) [view diff] no match in snippet view article find links to article
algebra Used libs: MUMPS, PARDISO, SPOOLES; ARPACK, BLAS, BLIS, Intel MKL, LAPACK Built-in and integrated with hypre. Optional integrations with PETSc, Ginkgo
Mlpack (1,438 words) [view diff] no match in snippet view article find links to article
the only library we need to link against are either OpenBLAS, IntelMKL or LAPACK. Bandicoot is a C++ Linear Algebra library designed for scientific computing
Linear algebra (7,983 words) [view diff] no match in snippet view article find links to article
Consequently, linear algebra algorithms have been highly optimized. BLAS and LAPACK are the best known implementations. For improving efficiency, some of them
Biostatistics (6,527 words) [view diff] no match in snippet view article find links to article
machine-learning SQL databases NoSQL NumPy numerical python SciPy SageMath LAPACK linear algebra MATLAB Apache Hadoop Apache Spark Amazon Web Services Almost
System of linear equations (5,636 words) [view diff] no match in snippet view article find links to article
equations Coates graph – A mathematical graph for solution of linear equations LAPACK – Software library for numerical linear algebra Linear equation over a ring
Fortran (11,235 words) [view diff] no match in snippet view article find links to article
hydrological modeling, numerical linear algebra and numerical libraries (LAPACK, IMSL and NAG), optimization, satellite simulation, structural engineering
QR algorithm (4,226 words) [view diff] no match in snippet view article find links to article
computation of singular values was first described by Golub & Kahan (1965). The LAPACK subroutine DBDSQR implements this iterative method, with some modifications
Owl Scientific Computing (1,330 words) [view diff] no match in snippet view article find links to article
function interfaces to other low level numerical libraries, such as CBLAS and LAPACK. These libraries are fully interfaced to the Linear Algebra module. The
Divide-and-conquer eigenvalue algorithm (1,856 words) [view diff] no match in snippet view article find links to article
is readily parallelized, and linear algebra computing packages such as LAPACK contain high-quality parallel implementations.[citation needed] Demmel,
Ensemble Kalman filter (3,910 words) [view diff] no match in snippet view article find links to article
implementation using software packages such as LAPACK (on serial and shared memory computers) and ScaLAPACK (on distributed memory computers). Instead of
Singular value decomposition (14,491 words) [view diff] no match in snippet view article find links to article
of eigenvalues, which was first described by Golub & Kahan (1965). The LAPACK subroutine DBDSQR implements this iterative method, with some modifications
Name mangling (4,517 words) [view diff] no match in snippet view article find links to article
common issue that must be dealt with to call Fortran libraries, such as LAPACK, from other languages, such as C. Because of the case insensitivity, the
List of OpenCL applications (2,175 words) [view diff] no match in snippet view article find links to article
OpenCL port of the MAGMA project, a linear algebra library similar to LAPACK CP2K: molecular simulations GROMACS: chemical simulations, deprecated OpenCL
Kalman filter (20,727 words) [view diff] no match in snippet view article find links to article
with the LU decomposition as implemented in the Linear Algebra PACKage (LAPACK). These results are further factored into the L·D·LT structure with methods
List of University of Tennessee people (5,632 words) [view diff] no match in snippet view article find links to article
entomologist Jack Dongarra, computer science professor; creator of LINPACK and LAPACK; 2021 Turing Award Recipient Gertrude Ehrlich, professor of mathematics
Complete orthogonal decomposition (764 words) [view diff] no match in snippet view article find links to article
1109/icassp.1991.150681. hdl:1903/555. ISBN 0-7803-0003-3. S2CID 9201732. "LAPACK – Complete Orthogonal Factorization". netlib.org. "Eigen::CompleteOrthogonalDecomposition"
List of open source code libraries (125 words) [view diff] no match in snippet view article find links to article
MIT Basic Linear Algebra Subprograms (BLAS) Fortran, C, R BSD, GPL, LGPL LAPACK Fortran, C BSD Dart core libraries Dart BSD-3-Clause GORM Go MIT Haskell