- Referenced in 213 articles
- with state-of-the-art preconditioned iterative solvers for the discrete linear equation systems that ... enables the study of both discretization and iterative solution algorithms as well as the interaction...
- Referenced in 154 articles
- ITSOL is a library of iterative solvers for general sparse linear systems of equations. ITSOL...
- Referenced in 82 articles
- alone package comprising a set of iterative solvers, preconditioners and matrix-vector multiplication routines. Users ... preconditioning. After the transformations, the iterative solvers can run efficiently. If the input matrix ... components of Aztec are implementations of iterative solvers (CG, CGS, BiCGSTAB, GMRES and TFQMR...
- Referenced in 255 articles
- shared-memory and distributed-memory multiprocessors. The solver has has been licensed to thousands ... SMPs. Automatic combination of iterative and direct solver algorithms to accelerate the solution process...
- Referenced in 111 articles
- focus on object-oriented design of iterative solvers for linear systems of equations. Special attention...
- Referenced in 51 articles
- CVODE is a solver for stiff and nonstiff ordinary differential equation (ODE) systems (initial value ... direct linear solver (dense or banded), the Newton iteration is a Modified Newton iteration ... Krylov method as the linear solver, the iteration is an Inexact Newton iteration, using ... band) solvers and three preconditioned Krylov (iterative) solvers (GMRES, Bi-CGStab, and TFQMR...
- Referenced in 39 articles
- stopping criteria of the iterative solver employed for the solution of the system ... gradient method is used as the iterative solver. The details of the implementation are described...
- Referenced in 83 articles
- Pegasos: primal estimated sub-gradient solver for SVM. We describe and analyze a simple ... prove that the number of iterations required to obtain a solution of accuracy ... previously devised SVM solvers, the number of iterations also scales linearly with 1/λ, where...
- Referenced in 30 articles
- differential equations. Useful for testing the solvers. Iterative Solvers. Preconditioned conjugate-gradients and preconditioned minres ... solve for the Schur complement elements iteratively. Multilevel-Support-Graph Preconditioners. Similar to domain-decomposition...
- Referenced in 55 articles
- Interconnecting (IETI) method, which combines the advanced solver design of FETI with the exact geometry ... suitable preconditioner for the iterative linear solver used for the interface problem. We report several...
- Referenced in 33 articles
- Finally examples of the use of iterative solvers on different types of machines are presented...
- Referenced in 160 articles
- sparse matrix solvers for the linear systems that arise. Two others use iterative (preconditioned Krylov...
- Referenced in 21 articles
- modified barrier method using iterative solvers The limiting factors of second-order methods for large ... barrier method, we propose to use iterative solvers instead of the routinely used direct factorization...
- Referenced in 20 articles
- provide implementations of a range of iterative solvers, including several recently proposed methods that ... linear inverse problems. The solvers include iterative regularization methods where the regularization...
- Referenced in 15 articles
- iterative solver template library. The numerical solution of partial differential equations frequently requires the solution ... programming techniques in C++ one can create solver libraries that allow efficient realization of “fine ... work more efficiently. We present the “Iterative Solver Template Library” (ISTL) which is part ... domain of iterative solvers of linear systems stemming from finite element discretizations. Those discretizations exhibit...
- Referenced in 19 articles
- LSRN: A parallel iterative solver for strongly over- or underdetermined systems. We describe a parallel ... iterative least squares solver named LSRN that is based on random normal projection. LSRN computes ... values, and hence that the number of iterations is fully predictable when we apply LSQR ... Chebyshev semi-iterative method. As we demonstrate, the Chebyshev method is particularly efficient for solving...
- Referenced in 23 articles
- matrix-vector products for codes using iterative solvers in unstructured grid problems. This method...
- Referenced in 16 articles
- processes. The algorithm uses a gmres iterative solver with a restricted additive Schwarz method (rasm ... function allows rapid convergence of the iterative solver even when the subdomains in the rasm ... data points, timing at 106 s (19 iterations for an error tolerance...
- Referenced in 18 articles
- preconditioners for the solution of preconditioned iterative solvers. IFPACK constructors expect an Epetra_RowMatrix object...
- Referenced in 16 articles
- formulation of Laplace-Beltrami-Operator; Efficient iterative solvers based on multigrid methods...