• LSQR

  • Referenced in 358 articles [sw00530]
  • with estimates of standard errors for x and the condition number of A. These...
  • SuperLU

  • Referenced in 171 articles [sw00930]
  • system, estimate the condition number, calculate the relative backward error, and estimate error bounds...
  • FODE

  • Referenced in 245 articles [sw08377]
  • numerically solving FODE with the numerical error $O(k^{min{1+2alpha ... corresponding stability condition is got. The effectiveness of this numerical algorithm is evaluated by comparing...
  • MultRoot

  • Referenced in 98 articles [sw00604]
  • backward error, estimated forward error, and the structure-preserving condition number. The most significant features...
  • HyTech

  • Referenced in 324 articles [sw04125]
  • analysis of embedded systems. HyTech computes the condition under which a linear hybrid system satisfies ... verification fails, then HyTech generates a diagnostic error trace. The standard reference to the HyTech...
  • SuperLU-DIST

  • Referenced in 83 articles [sw00002]
  • system, estimate the condition number, calculate the relative backward error, and estimate error bounds...
  • mfem

  • Referenced in 43 articles [sw22316]
  • error control. The numerical approximation of the Laplace equation with inhomogeneous mixed boundary conditions ... modification in education and research. A posteriori error control with a reliable and efficient averaging ... discretization error. Therein, emphasis is on the correct treatment of mexed boundary conditions. Numerical examples ... provided software and the quality of the error estimation...
  • na10

  • Referenced in 48 articles [sw11511]
  • suitable stop condition, based on a rigorous backward rounding error analysis, guarantees that the computed ... relative precision allowed by the classical conditioning theorems with 11.1 average iterations. In the worst...
  • DAISY

  • Referenced in 44 articles [sw09059]
  • output data, under ideal conditions (noise-free observations and error-free model structure). Of course...
  • GMBACK

  • Referenced in 12 articles [sw02139]
  • employing the residual error norm as a stopping condition in an iterative process is that ... such that the normwise backward error meets some optimality condition...
  • BIONJ

  • Referenced in 29 articles [sw08301]
  • model trees and the conditions of evolution tested, the topological error reduction...
  • MatSol

  • Referenced in 24 articles [sw12419]
  • iterations. Theory yields the error bounds that are independent of conditioning of constraints...
  • RacerX

  • Referenced in 16 articles [sw09941]
  • both race conditions and deadlocks. It is explicitly designed to find errors in large, complex ... large commercial code base, finding serious errors in all of them. RacerX is a static ... sensitive, interprocedural analysis to detect both race conditions and deadlocks. It uses novel strategies ... large commercial code base and found serious errors in all of them...
  • Voro++

  • Referenced in 37 articles [sw18065]
  • boundary conditions and walls. It employs algorithms that are tolerant for numerical precision errors...
  • ode23

  • Referenced in 279 articles [sw06600]
  • from time t0 to tf with initial conditions y0. The first input argument, odefun ... Commonly used properties include a scalar relative error tolerance RelTol (1e-3 by default...
  • ForWaRD

  • Referenced in 53 articles [sw12296]
  • ForWaRD: Fourier-Wavelet regularized deconvolution for ill-conditioned systems. We propose an efficient, hybrid Fourier ... regularization by optimizing an approximate mean-squared error (MSE) metric and find that signals with ... shrinkage. ForWaRD is applicable to all ill-conditioned deconvolution problems, unlike the purely wavelet-based...
  • rktree

  • Referenced in 3 articles [sw12682]
  • generating Runge – Kutta trees, order conditions, and truncatiom error coefficients. In designing parts of Runge ... Kutta methods, order conditions and truncation error coefficients (TECs) are needed. Order conditions and TECs...
  • GRUMMP

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

  • Referenced in 9 articles [sw13049]
  • Unfortunately, the orthogonality error of CholQR depends quadratically on the condition number of the input ... numerically unstable when the matrix is ill-conditioned. To enhance the stability of CholQR ... orthogonality error of the mixed-precision CholQR only depends linearly on the condition number...
  • adaptTest

  • Referenced in 2 articles [sw10998]
  • stages, or alternatively by specifying a conditional error function, i.e., the conditional probability...