
ScaLAPACK
 Referenced in 401 articles
[sw00830]
 linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency ... 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...

AIR tools
 Referenced in 57 articles
[sw09203]
 reconstruction (AIR) methods for discretizations of inverse problems. These socalled row action methods rely...

TIGRA
 Referenced in 39 articles
[sw02333]
 gradient method for solving nonlinear illposed problems is presented. The TIGRA (Tikhonovgradient method ... Numerical results are presented for an inverse problem occurring in singlephotonemission computed tomography...

IR Tools
 Referenced in 25 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...

Algorithm 682
 Referenced in 25 articles
[sw08369]
 Talbot’s method for the Laplace inversion problem. We describe a FORTRAN implementation, and some ... method which numerically solves the inversion problem of almost arbitrary Laplace transforms by means...

ADMiRA
 Referenced in 31 articles
[sw31664]
 rank matrix posing the inverse problem as an approximation problem with a specified target rank...

UQLab
 Referenced in 30 articles
[sw19740]
 global sensitivity analysis, Bayesian techniques for inverse problems, etc. After more than two years...

Algorithm 922
 Referenced in 31 articles
[sw12858]
 problem has important applications in inverse scattering. Since the problem is nonselfadjoint ... solve the resulting nonHermitian eigenvalue problem, an iterative algorithm using restarted Arnoldi method ... inverse scattering and modified to compute transmission eigenvalues for other models such as elasticity problem...

GPSABC
 Referenced in 15 articles
[sw16117]
 parameters given observations (the inverse problem) can be extremely challenging. The Approximate Bayesian Computation...

OCOTILLO
 Referenced in 10 articles
[sw09292]
 software development and computational complexity analysis for problems arising in the design of combinatorial libraries ... algorithms and intractability results for several Inverse Problems  formulated as (chemical) graph reconstruction problems  related ... package provides exact solutions for general inverse problems based on shortestpath topological indices...

EASEA
 Referenced in 13 articles
[sw07058]
 order to optimize virtually any realworld problems (continous, discrete, combinatorial, mixed and more (with ... evaluation function of the inverse problem to be solved.
The EASEA code is also compatible...

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 ... enough to determine it.FLIPS solves the inverse problem by first transforming it into a equivalent...

jInv
 Referenced in 7 articles
[sw15601]
 measurements requires solutions of illposed inverse problems. Such problems arise in a variety ... These so called parameter estimation or inverse medium problems, are computationally intense since the underlying ... available, which poses severe challenges to inversion algorithms as measurement devices become more powerful ... used to solve multiphysics inversion problems as is demonstrated using numerical experiments motivated by geophysical...

NLREG
 Referenced in 7 articles
[sw08630]
 experimentally measurable quantity by solving an inverse problem. In general, this constitutes an illposed ... problem. Therefore socalled regularization methods are necessary: Besides the constraint from the experimental data ... regularization respectively its generalization to nonlinear inverse problems, denoted as nonlinear regularization method and implemented...

ODL
 Referenced in 10 articles
[sw22359]
 Python library that enables research in inverse problems on realistic or real data. The framework...

hIPPYlib
 Referenced in 6 articles
[sw27290]
 hIPPYlib  Inverse Problem PYthon library. hIPPYlib implements stateoftheart scalable adjointbased algorithms ... based deterministic and Bayesian inverse problems. It builds on FEniCS for the discretization...

glasso
 Referenced in 378 articles
[sw07432]
 converged precision matrix might not be the inverse of the estimated covariance, and occasionally ... different approaches to solving their coordinate subproblems. We conclude that dpglasso is superior...

FDFD
 Referenced in 8 articles
[sw01172]
 tomography with intended applications to environmental imaging problems has been developed. The approach consists ... Finally, an adjoint field method of data inversion, developed ... parallel for solving the fully nonlinear inverse problem for electrical conductivity imaging (e.g., for mapping ... adjoint fields. Results obtained from this inversion method for highcontrast media are encouraging...