
LAPACK
 Referenced in 1626 articles
[sw00503]
 value problems. The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also...

ScaLAPACK
 Referenced in 404 articles
[sw00830]
 estimation and iterative refinement, for LU and Cholesky factorization, matrix inversion, fullrank linear least ... core solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems...

symrcm
 Referenced in 376 articles
[sw08566]
 good preordering for LU or Cholesky factorization of matrices that come from long, skinny problems...

CHOLMOD
 Referenced in 95 articles
[sw04412]
 Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate. CHOLMOD is a set of routines ... form A or AAT, updating/downdating a sparse Cholesky factorization, solving linear systems, updating/downdating the solution ... both symmetric and unsymmetric matrices. Its supernodal Cholesky factorization relies on LAPACK and the Level...

TRON
 Referenced in 109 articles
[sw04714]
 preconditioned conjugate gradient method with an incomplete Cholesky factorization to generate a direction...

LIPSOL
 Referenced in 81 articles
[sw04712]
 ﬁles from two Fortran packages: a sparse Cholesky factorization package developed by Esmond...

TAUCS
 Referenced in 31 articles
[sw04014]
 includes the following functionality: Multifrontal Supernodal Cholesky Factorization. This code is quite fast (several times ... faster than Matlab 6’s sparse Cholesky) but not completely state ... relaxed supernodes. LeftLooking Supernodal Cholesky Factorization. Slower than the multifrontal solver but uses less ... memory. DropTolerance IncompleteCholesky Factorization. Much slower than the supernodal solvers when it factors...

IPM
 Referenced in 40 articles
[sw05170]
 second version uses the more efficient Sparse Cholesky package developed ... permission of the authors of the Sparse Cholesky package (you can send a message...

TNPACK
 Referenced in 39 articles
[sw00970]
 factored in PCG using a sparse modified Cholesky factorization based on the Yale Sparse Matrix...

COLAMD
 Referenced in 28 articles
[sw00145]
 prior to numerical factorization, and (2) sparse Cholesky factorization, which requires a symmetric permutation...

MIXOR
 Referenced in 23 articles
[sw08990]
 scoring solution. For the scoring solution, the Cholesky factor of the randomeffects variancecovariance...

DRIC
 Referenced in 23 articles
[sw12610]
 with the relaxed incomplete Cholesky (RIC) method of O. Axelsson and G. Lindskog [Numer. Math...

POOCLAPACK
 Referenced in 16 articles
[sw07034]
 paper parallel implementation of outofcore Cholesky factorization is used to introduce the Parallel ... simplicity of POOCLAPACK, the outofcore Cholesky factorization implementation is shown to achieve...

CIMGS
 Referenced in 11 articles
[sw17583]
 more robust than an incomplete Cholesky factorization preconditioner (IC) and a complete Cholesky factorization ... better backward error properties than complete Cholesky factorization. For symmetric positive definite Mmatrices, CIMGS ... regular splitting and better estimates the complete Cholesky factor as the set of dropped positions ... gets smaller. CIMGS lies between complete Cholesky factorization and incomplete Cholesky factorization in its approximation...

HSL_MA77
 Referenced in 15 articles
[sw13924]
 core sparse Cholesky solver. Direct methods for solving large sparse linear systems of equations ... positivedefinite systems and performs a Cholesky factorization. Special attention is paid...

HSL_MA87
 Referenced in 14 articles
[sw13037]
 MA87. Parallel Sparse Cholesky Solver: HSL_MA87 provides a parallel sparse Cholesky factorization for real...

HSL_MI28
 Referenced in 13 articles
[sw13376]
 efficient and robust limitedmemory incomplete Cholesky factorization code. This article focuses on the design ... robust and efficient generalpurpose incomplete Cholesky factorization package HSL_MI28, which is available within...

SDPARA
 Referenced in 18 articles
[sw07707]
 called Schur complement matrix and its Cholesky factorization consume most of the computational time...

ramcmc
 Referenced in 16 articles
[sw17890]
 also includes fast functions for rankone Cholesky update and downdate. These functions...

LDL
 Referenced in 15 articles
[sw00507]
 Algorithm 849: A concise sparse Cholesky factorization package. The LDL software package...