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. The package is designed to compute a few eigenvalues and corresponding eigenvectors of large sparse or structured matrices, using the Implicitly Restarted Arnoldi Method (IRAM) or, in the case of symmetric matrices, the corresponding variant of the Lanczos algorithm. It is used by many popular numerical computing environments such as SciPy, Mathematica, Julia_(programming_language), GNU Octave and MATLAB to provide this functionality.

ARPACK, the ARnoldi PACKage, is a numerical software library written in FORTRAN 77 for solving large scale eigenvalue problems in the matrix-free fashion. The package is designed to compute a few eigenvalues and corresponding eigenvectors of large sparse or structured matrices, using the Implicitly Restarted Arnoldi Method (IRAM) or, in the case of symmetric matrices, the corresponding variant of the Lanczos algorithm. It is used by many popular numerical computing environments such as SciPy, Mathematica, Julia_(programming_language), GNU Octave and MATLAB to provide this functionality. ==See also== LOBPCG, a different matrix-free method for symmetric or Hermitian matrices only, implemented in C in BLOPEX, ported to hypre and SLEPc, in C++ in Anasazi (Trilinos), in Python in scipy, in Julia language, MATLAB, GNU Octave, as well as in Matrix Algebra on GPU and Multicore Architectures (MAGMA) and NVIDIA CUDA. LAPACK, software library based on matrix transformations for dense matrices. List of open-source mathematical libraries ==References== ==External links== at Rice University arpack-ng fork, joint effort between Scilab, GNU Octave, Debian, and others.

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