
LAPACK
 Referenced in 1695 articles
[sw00503]
 Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general...

LSQR
 Referenced in 394 articles
[sw00530]
 standard errors for x and the condition number of A. These are used ... most reliable algorithm when A is illconditioned...

SuperLU
 Referenced in 193 articles
[sw00930]
 equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...

MultRoot
 Referenced in 100 articles
[sw00604]
 forward error, and the structurepreserving condition number. The most significant features of MultRoot...

SuperLUDIST
 Referenced in 90 articles
[sw00002]
 equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...

NAPACK
 Referenced in 71 articles
[sw11666]
 solve linear systems, to estimate the condition number or the norm of a matrix...

MIBPB
 Referenced in 54 articles
[sw08106]
 using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB matrices are significantly reduced...

COMSOL
 Referenced in 450 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...

CholQR
 Referenced in 11 articles
[sw13049]
 CholQR depends quadratically on the condition number of the input matrix, and it is numerically ... unstable when the matrix is illconditioned. To enhance the stability of CholQR, we recently ... CholQR only depends linearly on the condition number of the input matrix. We provide numerical...

GQTPAR
 Referenced in 325 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 14 articles
[sw08105]
 provides a means for estimating the condition number of these three equations. The algorithms employed...

CMPGRD
 Referenced in 110 articles
[sw24156]
 conditions are imposed at the overlapping boundaries. For creating a composite grid with any number...

Proteus
 Referenced in 106 articles
[sw41563]
 momentum equation enforces the noslip condition on the boundary of a moving particle ... capable of achieving results at higher Reynolds number flows. By using a set of Lagrangian ... present method, the settling of a large number (1232) of spherical particles is simulated ... narrow box under two different boundary conditions. It is found that when the noslip...

OCVdM
 Referenced in 8 articles
[sw41352]
 numerically the extent to which the condition number of such matrices can be reduced, either ... latter case we find empirically the condition of the optimally conditioned n×n Vandermonde matrix ... computational challenges involved in determining condition numbers of highly illconditioned matrices...

na10
 Referenced in 50 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...

kappa_SQ
 Referenced in 11 articles
[sw17877]
 experiments related to the twonorm condition number of a sampled matrix, κ(SQ), where...

Algorithm 800
 Referenced in 11 articles
[sw04405]
 accuracy in line with their condition numbers; very small eigenvalues may be perturbed...

GRUMMP
 Referenced in 10 articles
[sw09672]
 small to minimize linear system condition number and interpolation error. On the other hand, problems...

GloMoSim
 Referenced in 60 articles
[sw13764]
 Simulation of Largescale 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...

TVRDART
 Referenced in 23 articles
[sw27583]
 reconstruction toward a solution with the specified number of discrete gray values. The gray values ... than existing algorithms under noisy conditions from a small number of projection images and/or from...