• 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, full-rank 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 large-scale 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 shrinkage-thresholding algorithm for linear inverse problems. We consider the class of iterative ... shrinkage-thresholding 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 ... least-squares operators related to linearized inverse medium problems with multiple events. Such factorizations ... algorithm in the context of an inverse scattering problem for the low-frequency time-harmonic ... invoking the Born approximation, we obtain a linear least-squares 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 least-squares ... 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 time-dependent 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...
  • CMA-ES

  • Referenced in 102 articles [sw05063]
  • numerical optimization of non-linear or non-convex continuous optimization problems. They belong ... function similar to the approximation of the inverse Hessian matrix in the Quasi-Newton 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 representation-based linear inverse problems: Multiplicative noise removal by L1-data 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 non-self-adjoint ... fourth-order 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 non-Hermitian 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 object-oriented 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...