• ScaLAPACK

  • Referenced in 394 articles [sw00830]
  • orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric...
  • LSQR

  • Referenced in 343 articles [sw00530]
  • sparse. The method is based on the bidiagonalization procedure of Golub and Kahan...
  • PROPACK

  • Referenced in 96 articles [sw04019]
  • routines are based on the Lanczos bidiagonalization algorithm with partial reorthogonalization (BPRO). The Lanczos routines...
  • LSMR

  • Referenced in 59 articles [sw12940]
  • LSMR is based on the Golub-Kahan bidiagonalization process. It is analytically equivalent...
  • na26

  • Referenced in 24 articles [sw11493]
  • Restarted block Lanczos bidiagonalization methods. The problem of computing a few of the largest ... applications. This paper describes restarted block Lanczos bidiagonalization methods based on augmentation of Ritz vectors...
  • ABDPACK

  • Referenced in 12 articles [sw01221]
  • what may be called an almost block bidiagonal structure. Such systems result, for example, when ... used to solve the almost block bidiagonal systems arising in multiple shooting techniques and implicit...
  • GKB-FP

  • Referenced in 14 articles [sw02082]
  • This method exploits the Golub-Kahan bidiagonalization algorithm together with Tikhonov regularization in the generated...
  • PHSVDS

  • Referenced in 10 articles [sw13690]
  • this problem through variations of the Lanczos bidiagonalization method, but they are still challenged even...
  • DLASQ

  • Referenced in 6 articles [sw08636]
  • singular values of a real upper bidiagonal matrix with high accuracy. The basic algorithm...
  • BABDCR

  • Referenced in 5 articles [sw04399]
  • size, that is, having a block upper bidiagonal structure with an additional block...
  • HDLASQ

  • Referenced in 3 articles [sw10261]
  • computing all the singular values of a bidiagonal matrix to high relative accuracy. There ... strategies that accelerate the convergence for most bidiagonal matrices. These techniques together ensure linear worst...
  • AggDef2

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

  • Referenced in 3 articles [sw29132]
  • Hybrid Bidiagonalization Regularization (HyBR). Hybrid regularization methods have been proposed as effective approaches for solving...
  • KSVD

  • Referenced in 1 article [sw30531]
  • compared to the traditional one-stage bidiagonal approach. However, the inherent high level of concurrency...
  • ATLAS

  • Referenced in 195 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • cdd

  • Referenced in 107 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • FLAME

  • Referenced in 38 articles [sw00293]
  • We present a number of application program interfaces...
  • irbleigs

  • Referenced in 18 articles [sw00451]
  • Algorithm 827: irbleigs: A MATLAB program for computing...
  • LAPACK

  • Referenced in 1582 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • Magma

  • Referenced in 2716 articles [sw00540]
  • Computer algebra system (CAS). Magma is a large...