• LAPACK

  • Referenced in 1617 articles [sw00503]
  • Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general...
  • testmatrix

  • Referenced in 79 articles [sw14347]
  • inverses or known eigenvalues; ill-conditioned or rank deficient matrices; and symmetric, positive definite, orthogonal...
  • RICPAC

  • Referenced in 60 articles [sw15253]
  • cost or covariance matrices are singular or ill-conditioned with respect to inversion. Cross-weighting...
  • MIBPB

  • Referenced in 49 articles [sw08106]
  • Krylov subspace (KS) techniques. Condition numbers of the MIBPB matrices are significantly reduced by using...
  • SuperLU

  • Referenced in 170 articles [sw00930]
  • triangular solves are performed only for square matrices. The matrix columns may be preordered (before ... provided to equilibrate the system, estimate the condition number, calculate the relative backward error...
  • RTRMC

  • Referenced in 33 articles [sw20435]
  • address the numerical problem of recovering large matrices of low rank when most ... Hessian is introduced that helps control the conditioning of the problem and we detail preconditioned ... particular, they perform well on rectangular matrices. We further note that second-order and preconditioned ... methods are well suited to solve badly conditioned matrix completion tasks...
  • NAPACK

  • Referenced in 70 articles [sw11666]
  • solve linear systems, to estimate the condition number or the norm of a matrix ... symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack...
  • smerfs

  • Referenced in 6 articles [sw23987]
  • method to set up the necessary conditional covariance matrices is derived and simulations demonstrate...
  • DG-FTLE

  • Referenced in 7 articles [sw24965]
  • yield Gibbs oscillations and poor conditioning of interpolation matrices. In order to reduce Gibbs oscillations ... fields. $h$-adaptivity is shown to improve conditioning. To improve computational efficiency of large scale...
  • SuperLU-DIST

  • Referenced in 82 articles [sw00002]
  • triangular solves are performed only for square matrices. The matrix columns may be preordered (before ... provided to equilibrate the system, estimate the condition number, calculate the relative backward error...
  • PRIMME

  • Referenced in 41 articles [sw04023]
  • some QCD applications routinely compute eigenvalues of matrices of dimension more than a million ... Typically, with increasing dimension comes increased ill conditioning, and thus the use of preconditioning becomes...
  • Total FETI

  • Referenced in 41 articles [sw08714]
  • simplify inversion of the stiffness matrices of subdomains by using Lagrange multipliers not only ... also for implementation of the Dirichlet boundary conditions. Results of numerical experiments are presented which...
  • ERMES

  • Referenced in 2 articles [sw07814]
  • This finite element formulation produces well-conditioned matrices which can be solved efficiently with...
  • Spheno

  • Referenced in 51 articles [sw09544]
  • loop order with user-specified boundary conditions. The complete one-loop formulas for the masses ... parameter. The obtained masses and mixing matrices are used to calculate decay widths and branching...
  • TNTool

  • Referenced in 4 articles [sw20656]
  • despite the typical notorious ill conditioning of these matrices, it is possible to perform virtually...
  • KSVD

  • Referenced in 1 article [sw30531]
  • within two iterations even for ill-conditioned matrices, instead of the original six iterations required...
  • SONEST

  • Referenced in 33 articles [sw24351]
  • codes are of wide applicability in condition estimation since explicit access to the matrix ... Hager’s method, extend it to complex matrices, and make several algorithmic modifications in order...
  • CONEST

  • Referenced in 33 articles [sw24352]
  • codes are of wide applicability in condition estimation since explicit access to the matrix ... Hager’s method, extend it to complex matrices, and make several algorithmic modifications in order...
  • Pseudospectra

  • Referenced in 17 articles [sw17465]
  • Pseudospectra Gateway. Eigenvalue analysis of non-hermitian matrices and operators can be misleading: Predictions often ... associated sets of eigenvectors are ill-conditioned with respect to the norm of applied interest ... graphical alternative for investigating non-normal matrices and operators. Follow the links below to find...
  • Hondo

  • Referenced in 22 articles [sw08706]
  • plastic, crushable foam, and soil behavior. Initial conditions on velocity but not displacement are allowed ... entirely in core, and because no stiffness matrices are calculated and stored, rather large problems...