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ARPACK

ARPACK

ARPACK, the ARnoldi PACKage, is a numerical software library written in FORTRAN 77 for solving large scale eigenvalue problems in the matrix-free fashion

ARPACK

Arnoldi iteration

Iterative method for approximating eigenvectors

Sorensen, which was popularized in the free and open source software package ARPACK. Another approach is the Krylov-Schur Algorithm by G. W. Stewart, which

Arnoldi iteration

Arnoldi_iteration

Sparse matrix

Matrix in which most of the elements are zero

solvers. ALGLIB is a C++ and C# library with sparse linear algebra support ARPACK Fortran 77 library for sparse matrix diagonalization and manipulation, using

Sparse matrix

Sparse_matrix

Armadillo (C++ library)

PACKage (LAPACK), Automatically Tuned Linear Algebra Software (ATLAS), and ARPACK. High-performance BLAS/LAPACK replacement libraries such as OpenBLAS and

Armadillo (C++ library)

Armadillo_(C++_library)

John Backus

American computer scientist

series on the Fortran programming language Fortran mathematical libraries ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK Harwell Subroutine

John Backus

John_Backus

Lanczos algorithm

Numerical eigenvalue calculation

variations is the implicitly restarted Lanczos method, which is implemented in ARPACK. This has led into a number of other restarted variations such as restarted

Lanczos algorithm

Lanczos_algorithm

Fortran

General-purpose programming language

series on the Fortran programming language Fortran mathematical libraries ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK Harwell Subroutine

Fortran

List of open-source software for mathematics

MFEM Number Theory Library SU2 code Template Numerical Toolkit Trilinos ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK LAPACK Librsb

List of open-source software for mathematics

List_of_open-source_software_for_mathematics

List of free and open-source software packages

Rationals Number Theory Library SU2 code Template Numerical Toolkit Trilinos ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK LAPACK Librsb

List of free and open-source software packages

List_of_free_and_open-source_software_packages

SLEPc

integral solver (CISS). Interface to some external eigensolvers, such as ARPACK and BLOPEX. Customization options include: number of wanted eigenvalues

SLEPc

GNU Fortran

Fortran compiler

series on the Fortran programming language Fortran mathematical libraries ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK Harwell Subroutine

GNU Fortran

GNU_Fortran

Latent semantic analysis

Technique in natural language processing

the computational complexity of SVD; for instance, by using a parallel ARPACK algorithm to perform parallel eigenvalue decomposition it is possible to

Latent semantic analysis

Latent_semantic_analysis

Graph partition

Subdivision of vertices into disjoint sets

eigenvectors of the graph Laplacian matrix for the original graph computed by ARPACK, or by LOBPCG solver with multigrid preconditioning. METIS is a graph partitioning

Graph partition

Graph_partition

Mathematical software

Software used in mathematical applications

ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK LAPACK Librsb LINPACK Lis MINPACK PETSc QUADPACK SLATEC SOFA IMSL Numerical Libraries

Mathematical software

Mathematical_software

List of numerical libraries

for astronomical computations. Both Fortran and C versions are available. ARPACK is a collection of Fortran77 subroutines designed to solve large scale eigenvalue

List of numerical libraries

List_of_numerical_libraries

List of finite element software packages

non-matching meshes Linear algebra Used libs: MUMPS, PARDISO, SPOOLES; ARPACK, BLAS, BLIS, Intel MKL, LAPACK Built-in and integrated with hypre. Optional

List of finite element software packages

List_of_finite_element_software_packages

Spectral clustering

Clustering methods

projects like scikit-learn using LOBPCG with multigrid preconditioning or ARPACK, MLlib for pseudo-eigenvector clustering using the power iteration method

Spectral clustering

Spectral_clustering

List of Fortran software and tools

Fortran software and development tools

Fortran integration Visual Studio Code — supports Fortran via extensions ARPACK Automatically Tuned Linear Algebra Software BLAS BLIS EISPACK Harwell Subroutine

List of Fortran software and tools

List_of_Fortran_software_and_tools

ArtRage

Bitmap graphics editor by Ambient Design Ltd.

other users. Users can save their resource collections as a Package File (.arpack), which allows folders of resources to be shared and automatically installed

ArtRage