• LINPACK

  • Referenced in 520 articles [sw04209]
  • whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square ... singular value decompositions of rectangular matrices and applies them to least-squares problems. LINPACK uses...
  • EISPACK

  • Referenced in 488 articles [sw04208]
  • matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal...
  • NAPACK

  • Referenced in 71 articles [sw11666]
  • general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack...
  • SBR Toolbox

  • Referenced in 21 articles [sw10146]
  • reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation...
  • XMR

  • Referenced in 3 articles [sw07169]
  • computing selected eigenpairs of symmetric tridiagonal matrices, thus disentangling the principles driving...
  • MR3-SMP

  • Referenced in 2 articles [sw12773]
  • eigenvalues and eigenvectors of symmetric tridiagonal matrices arises frequently in applications; often ... several accurate and efficient methods for the tridiagonal eigenproblem exist, their corresponding implementations usually target...
  • SHALL 4

  • Referenced in 3 articles [sw00007]
  • either block-tridiagonal or cyclic block-tridiagonal coefficient matrices. Moreover this compact fourth-order scheme...
  • PHDC

  • Referenced in 1 article [sw18388]
  • algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable...
  • C++QED

  • Referenced in 1 article [sw41448]
  • special operator structures, i.e., sparse and tridiagonal matrices. The use of adaptive-stepsize methods...
  • Algorithm 880

  • Referenced in 13 articles [sw12764]
  • infrastructure for exhaustively testing the symmetric tridiagonal eigensolvers implemented in LAPACK. It consists ... parts: a selection of carefully chosen test matrices with particular idiosyncrasies and a portable testing...
  • BDSVDX

  • Referenced in 3 articles [sw35942]
  • through the eigenpairs of an associated symmetric tridiagonal matrix. The algorithm enables the computation ... large set of bidiagonal matrices to assess the accuracy of the implementation, both in single...
  • Algorithm 923

  • Referenced in 6 articles [sw20231]
  • Pfaffian for dense and banded skew-symmetric matrices. Computing the Pfaffian of a skew-symmetric ... matrix has been reduced to skew-symmetric tridiagonal form. We develop efficient numerical methods ... computing this tridiagonal form based on Gaussian elimination, using a skew-symmetric, blocked form ... that are applicable to dense and banded matrices, respectively. We also give a complete...
  • Pfaffian

  • Referenced in 6 articles [sw10808]
  • Pfaffian of general skew-symmetric matrices. The evaluation of Pfaffians arises in a number ... evaluation of Pfaffians. The first one is tridiagonalization based on Householder transformations. The main advantage ... decomposition (under congruence) of arbitrary skew-symmetric matrices that is well suited both...
  • NanoNET

  • Referenced in 2 articles [sw35709]
  • efficient construction of tight-binding Hamiltonian matrices from a list of atomic coordinates ... center integrals in dense, sparse, or block-tridiagonal forms. The framework implements a method based...
  • MuPAT

  • Referenced in 1 article [sw29767]
  • MuPAT. We applied three different precisions to tridiagonalization by the Lanczos method and confirmed that ... accurate eigenvalues of real symmetric matrices...
  • ATLAS

  • Referenced in 199 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • AXIOM

  • Referenced in 173 articles [sw00063]
  • Axiom is a general purpose Computer Algebra system...
  • BoomerAMG

  • Referenced in 195 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...
  • CSDP

  • Referenced in 202 articles [sw00169]
  • CSDP, A C Library for Semidefinite Programming. This...