
ScaLAPACK
 Referenced in 404 articles
[sw00830]
 linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency ... solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... Cholesky factorization, matrix inversion, fullrank linear least squares problems, orthogonal and generalized orthogonal factorizations...

TwIST
 Referenced in 85 articles
[sw20466]
 Step Iterative Shrinkage/Thresholding Algorithm for Linear Inverse Problems...

IR Tools
 Referenced in 28 articles
[sw26721]
 test problems for largescale linear inverse problems. The software package, called IR Tools, serves ... form of discretizations of 2D linear inverse problems. The solvers include iterative regularization methods where...

FLIPS
 Referenced in 7 articles
[sw00299]
 FLIPS (Fortran Linear Inverse Problem Solver) is a Fortran95 module for solving large scale statistical ... linear inverse problems of formm = Ax + ewhere m is called the measurement...

FISTA
 Referenced in 3 articles
[sw11448]
 fast iterative shrinkagethresholding algorithm for linear inverse problems. We consider the class of iterative ... shrinkagethresholding algorithms (ISTA) for solving linear inverse problems arising in signal/image processing. This class...

FaIMS
 Referenced in 6 articles
[sw06425]
 FaIMS: A fast algorithm for the inverse medium problem with multiple frequencies and multiple sources ... leastsquares operators related to linearized inverse medium problems with multiple events. Such factorizations ... algorithm in the context of an inverse scattering problem for the lowfrequency timeharmonic ... invoking the Born approximation, we obtain a linear leastsquares problem. The scheme we describe...

ParaSails
 Referenced in 27 articles
[sw11521]
 approximate inverse preconditioner for the iterative solution of large, sparse systems of linear equations ... been used to solve finite element elasticity problems inside an LLNL simulation code with more ... also been demonstrated on anisotropic diffusion problems with 216 million equations. ParaSails uses leastsquares ... sequence of linear solves. ParaSails solves symmetric positive definite (SPD) problems using a factorized...

Modulef
 Referenced in 39 articles
[sw01072]
 magnetism and 2 elements for piezoelectric materials. Linear systems can be solved using direct ... inverse iteration, subspace iteration, Lanczos and QR methods. Solution of timedependent thermal problems...

LINPRO
 Referenced in 1 article
[sw10043]
 LINPRO: linear inverse problem library for data contaminated by statistical noise. The library LINPRO which ... provides the solution to the linear inverse problem for data contaminated by a statistical noise...

CMAES
 Referenced in 102 articles
[sw05063]
 numerical optimization of nonlinear or nonconvex continuous optimization problems. They belong ... function similar to the approximation of the inverse Hessian matrix in the QuasiNewton method...

hIPPYlib
 Referenced in 8 articles
[sw27290]
 based deterministic and Bayesian inverse problems. It builds on FEniCS for the discretization ... PETSc for scalable and efficient linear algebra operations and solvers...

GULIPS
 Referenced in 1 article
[sw13541]
 GULIPS, the Grand Unified Linear Inverse Problem Solver...

CurvL1MultDenoise
 Referenced in 1 article
[sw21906]
 Sparse representationbased linear inverse problems: Multiplicative noise removal by L1data fidelity on frame...

ERATO
 Referenced in 39 articles
[sw11922]
 normal modes can be calculated by linearizing the ideal MHD equations. Any mode (unstable ... features of the problem with sufficient accuracy. The eigenvalue problem Ax= Omega squared ... solved by VEKIT (an inverse vector iteration), a subprogram of the block matrix library HYMNIABLOCK...

Algorithm 922
 Referenced in 32 articles
[sw12858]
 problem has important applications in inverse scattering. Since the problem is nonselfadjoint ... fourthorder reformulation of the transmission eigenvalue problem, a mixed finite element method is applied ... generalized eigenvalue problem naturally without the need to invert a related linear system ... solve the resulting nonHermitian eigenvalue problem, an iterative algorithm using restarted Arnoldi method...

BPKit
 Referenced in 20 articles
[sw05807]
 block preconditioners for the iterative solution of linear systems. The most effective general purpose ... blocks. These include a number of approximate inverse techniques. By combining a global and local ... difficulty and structure of the problem...

ADMiRA
 Referenced in 31 articles
[sw31664]
 rank matrix posing the inverse problem as an approximation problem with a specified target rank ... matrix completion problem, the computation in ADMiRA is linear in the number of measurements. Numerical...

Hilbert class library
 Referenced in 11 articles
[sw00408]
 abstract C++ classes for optimization and inversion. The objectoriented programming paradigm can be used ... mathematical objects arising in optimization problems, such as vectors, linear operators, and so forth...

CML
 Referenced in 8 articles
[sw26227]
 maximum likelihood estimates with general parametric constraints (linear or nonlinear, equality or inequality), using ... inversion of the Wald and likelihood ratio statistics, and by simulation. The inversion techniques ... sizes, but Monte Carlo evidence suggests this problem can be corrected under certain circumstances...