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PETSc, a large C library, containing many different matrix solvers for a variety of matrix storage formats. Trilinos, a large C++ library, with sub-libraries dedicated to the storage of dense and sparse matrices and solution of corresponding linear systems. Eigen3 is a C++ library that
Matrix representation is a method used by a computer language to store column-vector matrices of more than one dimension in memory. Fortran and C use different schemes for their native arrays. Fortran uses "Column Major" ( AoS ), in which all the elements for a given column are stored contiguously in memory.
Sparse matrix-dense matrix multiplication. Sparse matrix-vector triangular solve. Sparse matrix-dense matrix triangular solve. Sparse matrix-sparse matrix multiplication. Elemental sparse matrix operations (scaling, add, etc.). Row-wise or column-wise scaling. Rows / columns extraction. An online empirical autotuning function. File input/output ...
Hermes Project: C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers. IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices. IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications ...
C++ 2012 3.8 / 08.2020 Free BSD: Blaze is an open-source, high-performance C++ math library for dense and sparse arithmetic. Blitz++: Todd Veldhuizen C++ ? 1.0.2 / 10.2019 Free GPL: Blitz++ is a C++ template class library that provides high-performance multidimensional array containers for scientific computing. Boost uBLAS J. Walter, M. Koch ...
A frontal solver is an approach to solving sparse linear systems which is used extensively in finite element analysis. [1] Algorithms of this kind are variants of Gauss elimination that automatically avoids a large number of operations involving zero terms due to the fact that the matrix is only sparse. [2]
This was really only relevant for presentation, because matrix multiplication was stack-based and could still be interpreted as post-multiplication, but, worse, reality leaked through the C-based API because individual elements would be accessed as M[vector][coordinate] or, effectively, M[column][row], which unfortunately muddled the convention ...
Pages in category "Sparse matrices" The following 19 pages are in this category, out of 19 total. ... Sparse matrix–vector multiplication; T. Tridiagonal matrix; Z.