Mathematical software

ParaSails
Referenced in 29 articles [sw11521]
ParaSails is a parallel sparse approximate inverse preconditioner for the iterative solution of large, sparse ... Frobenius norm) minimization to compute a sparse approximate inverse. The sparsity pattern used...

BFSAI-IC
Referenced in 27 articles [sw12938]
matrices. It combines a generalized factored sparse approximate inverse (FSAI) with an incomplete...

QUIC
Referenced in 32 articles [sw11795]
QUIC: quadratic approximation for sparse inverse covariance estimation. The ℓ 1 -regularized Gaussian maximum likelihood ... strong statistical guarantees in recovering a sparse inverse covariance matrix, or alternatively the underlying graph ... quadratic approximation, but with some modifications that leverage the structure of the sparse Gaussian...

FSAIPACK
Referenced in 14 articles [sw14000]
high performance FSAI preconditioning. The Factorized Sparse Approximate Inverse (FSAI) is an efficient technique ... preconditioning parallel solvers of symmetric positive definite sparse linear systems. The key factor controlling FSAI...

Exa-Dune
Referenced in 13 articles [sw32962]
numerical methods have included GPU-based sparse approximate inverses, matrix-free sum-factorisation for high...

FE-gMG
Referenced in 8 articles [sw10365]
solvers with strong smoothers based on sparse approximate inverses. We describe our FE-gMG solver ... oriented implementation technique based on cascades of sparse matrix-vector multiplication by applying ... strong smoothers. In particular, we employ Sparse Approximate Inverse (SPAI) and Stabilised Approximate Inverse (SAINV...

MSPAI
Referenced in 10 articles [sw11522]
efficient implementation of the Modified SParse Approximate Inverse (MSPAI) preconditioner. MSPAI generalizes the class ... numerical parts as the code switches to sparse QR decomposition methods wherever profitable. The optimized...

GenASPI
Referenced in 5 articles [sw19575]
Generic approximate sparse inverse matrix techniques. During the last decades explicit preconditioning methods have gained ... matrix. Herewith, we propose a Generic Approximate Sparse Inverse (GenASPI) matrix algorithm based ... Inverse (GenAbI), which is a banded approximate inverse used in conjunction with Conjugate Gradient type ... large sparse linear systems. The proposed GenASPI matrix algorithm, is based on Approximate Inverse Sparsity...

ADMiRA
Referenced in 35 articles [sw31664]
rank matrix posing the inverse problem as an approximation problem with a specified target rank ... minimum rank solution satisfying a prescribed data approximation bound. We propose an atomic decomposition providing ... analogy between parsimonious representations of a sparse vector and a low-rank matrix and extending...

ShearLab
Referenced in 54 articles [sw06721]
which have been proposed to deliver sparse approximations of such features is the utilization ... allowing exploitation of its adjoint for the inverse transform. This leads to a digital implementation...

ParaSails