
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 taskbased 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 squarereduced 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 highlevel 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 GEMMBased 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...