
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 structurepreserving 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...

SuperLUDIST
 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 (noisefree observations and errorfree 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 (1e3 by default...

ForWaRD
 Referenced in 53 articles
[sw12296]
 ForWaRD: FourierWavelet regularized deconvolution for illconditioned systems. We propose an efficient, hybrid Fourier ... regularization by optimizing an approximate meansquared error (MSE) metric and find that signals with ... shrinkage. ForWaRD is applicable to all illconditioned deconvolution problems, unlike the purely waveletbased...

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 illconditioned. To enhance the stability of CholQR ... orthogonality error of the mixedprecision 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...