
LAPACK
 Referenced in 1654 articles
[sw00503]
 Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general...

LSQR
 Referenced in 377 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 181 articles
[sw00930]
 equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...

MultRoot
 Referenced in 99 articles
[sw00604]
 forward error, and the structurepreserving condition number. The most significant features of MultRoot...

SuperLUDIST
 Referenced in 87 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 51 articles
[sw08106]
 using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB matrices are significantly reduced...

COMSOL
 Referenced in 404 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 320 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...

CholQR
 Referenced in 10 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...

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

na10
 Referenced in 49 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 10 articles
[sw17877]
 experiments related to the twonorm condition number of a sampled matrix, κ(SQ), where...

Algorithm 800
 Referenced in 10 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...

gss
 Referenced in 282 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...

condest
 Referenced in 6 articles
[sw08757]
 bound c for the 1norm condition number of a square matrix A. c = condest ... matrix. Increasing the number of columns usually gives a better condition estimate but increases...

ScaLAPACK
 Referenced in 410 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...