• ScaLAPACK

  • Referenced in 418 articles [sw00830]
  • solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... Cholesky factorization, matrix inversion, full-rank linear least squares problems, orthogonal and generalized orthogonal factorizations ... routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric-definite/Hermitian-definite ... solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems...
  • Algorithm 840

  • Referenced in 26 articles [sw04463]
  • differential equation; this yields a symmetric tridiagonal matrix. The prolate functions are then defined...
  • Algorithm 710

  • Referenced in 4 articles [sw13030]
  • eigenvectors of a general matrix by reduction to general tridiagonal form. This paper ... describes programs to reduce a nonsymmetric matrix to tridiagonal form ... compute the eigenvalues of the tridiagonal matrix, to improve the accuracy of an eigenvalue...
  • NAPACK

  • Referenced in 71 articles [sw11666]
  • matrix by a vector, to invert a matrix, to solve least squares problems, to perform ... special routines for general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack...
  • IQPACK

  • Referenced in 7 articles [sw00450]
  • integrand, and the (symmetric tridiagonal) Jacobi matrix J associated with the polynomials orthogonal...
  • BCYCLIC

  • Referenced in 4 articles [sw00070]
  • block tridiagonal matrix is factored with minimal fill-in using a cyclic reduction algorithm that...
  • BDSVDX

  • Referenced in 3 articles [sw35942]
  • Bidiagonal SVD computation via an associated tridiagonal eigenproblem. The Singular Value Decomposition (SVD) is widely ... part of the SVD of a general matrix is to find ... eigenpairs of an associated symmetric tridiagonal matrix. The algorithm enables the computation of only...
  • MINRES

  • Referenced in 42 articles [sw13371]
  • matrix A−sI must be symmetric but it may be definite or indefinite or singular ... number. The method is based on Lanczos tridiagonalization. You may provide a preconditioner...
  • EfficientMaxEigenpair

  • Referenced in 1 article [sw17999]
  • efficient initials under two cases: the tridiagonal matrix case and the general matrix case. Besides...
  • multitaper

  • Referenced in 1 article [sw35997]
  • sequences are generated efficiently using a tridiagonal matrix solution, and jackknifed confidence intervals are available...
  • VlaPy

  • Referenced in 1 article [sw35172]
  • Vlasov equation, and a fast tridiagonal matrix solver to solve approximations of the Fokker-Planck...
  • Algorithm 923

  • Referenced in 6 articles [sw20231]
  • skew-symmetric matrix has been reduced to skew-symmetric tridiagonal form. We develop efficient numerical ... methods for computing this tridiagonal form based on Gaussian elimination, using a skew-symmetric, blocked ... based on the Hamiltonian and the scattering matrix...
  • SBR Toolbox

  • Referenced in 21 articles [sw10146]
  • banded matrices to narrower banded or tridiagonal form, with optional accumulation of the orthogonal transformations ... codes to particular machine and matrix characteristics. We also briefly describe the testing and timing...
  • NanoNET

  • Referenced in 2 articles [sw35709]
  • detecting the block-tridiagonal structure of a Hamiltonian matrix and splitting it into series...
  • parallel_tdma

  • Referenced in 2 articles [sw41503]
  • Parallel tri-diagonal matrix solver using cyclic reduction (CR), parallel CR (PCR), and Thomas ... Manycore Algorithms for Batch Scalar and Block Tridiagonal Solvers, ACM TOMS...
  • PHDC

  • Referenced in 1 article [sw18388]
  • algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable ... cost by computing the eigenvectors via the matrix-matrix multiplications (MMM). In our parallel hybrid...
  • 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 196 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...