• ScaLAPACK

  • Referenced in 409 articles [sw00830]
  • orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric...
  • LSQR

  • Referenced in 377 articles [sw00530]
  • sparse. The method is based on the bidiagonalization procedure of Golub and Kahan...
  • PROPACK

  • Referenced in 106 articles [sw04019]
  • routines are based on the Lanczos bidiagonalization algorithm with partial reorthogonalization (BPRO). The Lanczos routines...
  • LSMR

  • Referenced in 69 articles [sw12940]
  • LSMR is based on the Golub-Kahan bidiagonalization process. It is analytically equivalent...
  • na26

  • Referenced in 25 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 14 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 16 articles [sw02082]
  • This method exploits the Golub-Kahan bidiagonalization algorithm together with Tikhonov regularization in the generated...
  • lbdtik

  • Referenced in 13 articles [sw38378]
  • lbdtik: Tikhonov regularization by Lanczos bidiagonalization. This Matlab function computes the Tikhonov regularized solution...
  • PHSVDS

  • Referenced in 11 articles [sw13690]
  • this problem through variations of the Lanczos bidiagonalization method, but they are still challenged even...
  • BABDCR

  • Referenced in 6 articles [sw04399]
  • size, that is, having a block upper bidiagonal structure with an additional block...
  • DLASQ

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

  • Referenced in 5 articles [sw29132]
  • Hybrid Bidiagonalization Regularization (HyBR). Hybrid regularization methods have been proposed as effective approaches for solving...
  • 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...
  • BDSVDX

  • Referenced in 2 articles [sw35942]
  • Bidiagonal SVD computation via an associated tridiagonal eigenproblem. The Singular Value Decomposition (SVD) is widely ... 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 ... library. We use a large set of bidiagonal matrices to assess the accuracy...
  • AggDef2

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

  • Referenced in 2 articles [sw30531]
  • compared to the traditional one-stage bidiagonal approach. However, the inherent high level of concurrency...
  • ATLAS

  • Referenced in 197 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • cdd

  • Referenced in 112 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 19 articles [sw00451]
  • Algorithm 827: irbleigs: A MATLAB program for computing...