• LAPACK

  • Referenced in 1487 articles [sw00503]
  • Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general...
  • LSQR

  • Referenced in 303 articles [sw00530]
  • standard errors for x and the condition number of A. These are used ... most reliable algorithm when A is ill-conditioned...
  • SuperLU

  • Referenced in 136 articles [sw00930]
  • equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...
  • MultRoot

  • Referenced in 90 articles [sw00604]
  • forward error, and the structure-preserving condition number. The most significant features of MultRoot...
  • SuperLU-DIST

  • Referenced in 69 articles [sw00002]
  • equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...
  • NAPACK

  • Referenced in 68 articles [sw11666]
  • solve linear systems, to estimate the condition number or the norm of a matrix...
  • MIBPB

  • Referenced in 39 articles [sw08106]
  • using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB matrices are significantly reduced...
  • COMSOL

  • Referenced in 278 articles [sw04091]
  • quick, thanks to a number of predefined physics interfaces for applications ranging from fluid flow ... analyses. Material properties, source terms and boundary conditions can all be arbitrary functions...
  • GQTPAR

  • Referenced in 282 articles [sw07451]
  • nearly optimal solution in a finite number of iterations. We also consider ... satisfies the first and second order necessary conditions for a minimizer of the objective function...
  • Algorithm 705

  • Referenced in 13 articles [sw08105]
  • provides a means for estimating the condition number of these three equations. The algorithms employed...
  • CMPGRD

  • Referenced in 86 articles [sw24156]
  • conditions are imposed at the overlapping boundaries. For creating a composite grid with any number...
  • na10

  • Referenced in 42 articles [sw11511]
  • starting approximations we choosek i complex numbers lying on a suitable circle contained ... overflow situations are removed. A suitable stop condition, based on a rigorous backward rounding error ... coefficients are representable as floating point numbers. In all the tests performed with more than ... classical conditioning theorems with 11.1 average iterations. In the worst case the number of iterations...
  • GloMoSim

  • Referenced in 60 articles [sw13764]
  • Simulation of Large-scale Wireless Networks. A number of library based parallel and sequential network ... conditional event algorithms. The paper describes the GloMoSim library, addresses a number of issues relevant...
  • GRUMMP

  • Referenced in 9 articles [sw09672]
  • small to minimize linear system condition number and interpolation error. On the other hand, problems...
  • Algorithm 800

  • Referenced in 8 articles [sw04405]
  • accuracy in line with their condition numbers; very small eigenvalues may be perturbed...
  • gss

  • Referenced in 223 articles [sw06099]
  • univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models ... censored life time data; (ii) density and conditional density estimation under a variety of sampling...
  • ScaLAPACK

  • Referenced in 375 articles [sw00830]
  • band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... prebuilt version of the library for a number of computers, example programs, and the full...
  • kappa_SQ

  • Referenced in 5 articles [sw17877]
  • experiments related to the two-norm condition number of a sampled matrix, κ(SQ), where...
  • CholQR

  • Referenced in 3 articles [sw13049]
  • CholQR depends quadratically on the condition number of the input matrix, and it is numerically ... unstable when the matrix is ill-conditioned. To enhance the stability of CholQR, we recently ... CholQR only depends linearly on the condition number of the input matrix. We provide numerical...
  • Algorithm 908

  • Referenced in 4 articles [sw20215]
  • number of summands or the condition number of the sum. The algorithm asymptotically needs only...