• AggDef2

  • Referenced in 3 articles [sw10244]
  • LAPACK subroutine and is the preferred algorithm for this purpose. In this paper, we incorporate ... been applied successfully to the Hessenberg QR algorithm. Extensive numerical experiments show that aggressive early...
  • UDC

  • Referenced in 19 articles [sw20233]
  • spectral resolution of a unitary upper Hessenberg matrix H. Any such matrix H of order ... algorithm requires only O(n2) arithmetic operations. Experimental results presented indicate that the algorithm ... reliable and competitive with the general QR algorithm applied to this problem. Moreover, the algorithm...
  • Algorithm 1019

  • Referenced in 1 article [sw41694]
  • describes a task-based QR algorithm for reducing an upper Hessenberg matrix to real Schur...
  • Algorithm 800

  • Referenced in 11 articles [sw04405]
  • needed by the general QR algorithm. Routines are provided for computing the square-reduced form ... execution times compared to the general QR routine, DGEEVX, from the LAPACK library. The authors ... three scaling strategies mentioned (norm, symplectic, and Hessenberg), norm scaling was found...
  • Algorithm 826

  • Referenced in 3 articles [sw04468]
  • Algorithm 826: A parallel eigenvalue routine for complex Hessenberg matrices A code for computing ... Hessenberg matrix is presented. This code computes the Schur decomposition of a complex Hessenberg matrix ... directly computed using a parallel $QR$ algorithm.This parallel complex Schur decomposition routine was developed ... implement a complex multiple bulge $QR$ algorithm. This also required the development of new auxiliary...
  • Algorithm 730

  • Referenced in 5 articles [sw14348]
  • spectral resolution of a unitary upper Hessenberg matrix H. Any such matrix H of order ... algorithm requires only O(n2) arithmetic operations. Experimental results presented indicate that the algorithm ... reliable and competitive with the general QR algorithm applied to this problem. Moreover, the algorithm...
  • FLAME

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

  • Referenced in 719 articles [sw00454]
  • Isabelle is a generic proof assistant. It allows...
  • 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...
  • Maple

  • Referenced in 5403 articles [sw00545]
  • The result of over 30 years of cutting...
  • Matlab

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

  • Referenced in 421 articles [sw00830]
  • ScaLAPACK is an acronym for scalable linear algebra...
  • UMFPACK

  • Referenced in 421 articles [sw00989]
  • An ANSI C code for sparse LU factorization...
  • SLICOT

  • Referenced in 84 articles [sw01095]
  • The subroutine library SLICOT provides Fortran 77 implementations...
  • SRRIT

  • Referenced in 29 articles [sw01229]
  • Algorithm 776: SRRIT: A Fortran subroutine to calculate...
  • GEMM

  • Referenced in 30 articles [sw02792]
  • The GEMM-Based Level 3 BLAS concept utilizes...
  • CLAPACK

  • Referenced in 90 articles [sw03112]
  • C version of LAPACK, a transportable library for...
  • COLNEW

  • Referenced in 151 articles [sw03169]
  • Collocation method for the solution of nonlinear problems...