• LSQR

  • Referenced in 410 articles [sw00530]
  • matrix A is large and sparse. The method is based on the bidiagonalization procedure...
  • ScaLAPACK

  • Referenced in 421 articles [sw00830]
  • iterative refinement, for LU and Cholesky factorization, matrix inversion, full-rank linear least squares problems ... orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric ... solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems...
  • DLASQ

  • Referenced in 6 articles [sw08636]
  • Superquadratic convergence of DLASQ for computing matrix singular values. DLASQ is a routine in LAPACK ... singular values of a real upper bidiagonal matrix with high accuracy. The basic algorithm...
  • 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 ... find the SVD of an associated bidiagonal matrix. This article discusses an algorithm to compute ... bidiagonal matrix through the eigenpairs of an associated symmetric tridiagonal matrix. The algorithm enables...
  • na26

  • Referenced in 25 articles [sw11493]
  • Restarted block Lanczos bidiagonalization methods. The problem of computing a few of the largest ... large matrix arises in many applications. This paper describes restarted block Lanczos bidiagonalization methods based...
  • HDLASQ

  • Referenced in 3 articles [sw10261]
  • singular values of a bidiagonal matrix to high relative accuracy. There are two key contributions ... strategies that accelerate the convergence for most bidiagonal matrices. These techniques together ensure linear worst ... Nakatsukasa et al. [SIAM J. Matrix Anal. Appl...
  • AggDef2

  • Referenced in 3 articles [sw10244]
  • singular values of an n×n bidiagonal matrix to high relative accuracy...
  • PHSVDS

  • Referenced in 11 articles [sw13690]
  • Lanczos bidiagonalization method, but they are still challenged even for medium matrix sizes...
  • BABDCR

  • Referenced in 6 articles [sw04399]
  • size, that is, having a block upper bidiagonal structure with an additional block ... package performs cyclic reduction of the coefficient matrix in order to reduce the fill...
  • ATLAS

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

  • Referenced in 119 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • FLAME

  • Referenced in 39 articles [sw00293]
  • We present a number of application program interfaces...
  • irbleigs

  • Referenced in 19 articles [sw00451]
  • Algorithm 827: irbleigs: A MATLAB program for computing...
  • LAPACK

  • Referenced in 1713 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • Magma

  • Referenced in 3363 articles [sw00540]
  • Computer algebra system (CAS). Magma is a large...
  • Mathematica

  • Referenced in 6445 articles [sw00554]
  • Almost any workflow involves computing results, and that...
  • Matlab

  • Referenced in 13702 articles [sw00558]
  • MATLAB® is a high-level language and interactive...
  • NAG

  • Referenced in 425 articles [sw00610]
  • Produced by experts for use in a variety...
  • R

  • Referenced in 10196 articles [sw00771]
  • R is a language and environment for statistical...