
LINPACK
 Referenced in 520 articles
[sw04209]
 whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square ... singular value decompositions of rectangular matrices and applies them to leastsquares problems. LINPACK uses...

EISPACK
 Referenced in 488 articles
[sw04208]
 matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal...

NAPACK
 Referenced in 71 articles
[sw11666]
 general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack...

SBR Toolbox
 Referenced in 21 articles
[sw10146]
 reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation...

XMR
 Referenced in 3 articles
[sw07169]
 computing selected eigenpairs of symmetric tridiagonal matrices, thus disentangling the principles driving...

MR3SMP
 Referenced in 2 articles
[sw12773]
 eigenvalues and eigenvectors of symmetric tridiagonal matrices arises frequently in applications; often ... several accurate and efficient methods for the tridiagonal eigenproblem exist, their corresponding implementations usually target...

SHALL 4
 Referenced in 3 articles
[sw00007]
 either blocktridiagonal or cyclic blocktridiagonal coefficient matrices. Moreover this compact fourthorder scheme...

PHDC
 Referenced in 1 article
[sw18388]
 algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable...

C++QED
 Referenced in 1 article
[sw41448]
 special operator structures, i.e., sparse and tridiagonal matrices. The use of adaptivestepsize methods...

Algorithm 880
 Referenced in 13 articles
[sw12764]
 infrastructure for exhaustively testing the symmetric tridiagonal eigensolvers implemented in LAPACK. It consists ... parts: a selection of carefully chosen test matrices with particular idiosyncrasies and a portable testing...

BDSVDX
 Referenced in 3 articles
[sw35942]
 through the eigenpairs of an associated symmetric tridiagonal matrix. The algorithm enables the computation ... large set of bidiagonal matrices to assess the accuracy of the implementation, both in single...

Algorithm 923
 Referenced in 6 articles
[sw20231]
 Pfaffian for dense and banded skewsymmetric matrices. Computing the Pfaffian of a skewsymmetric ... matrix has been reduced to skewsymmetric tridiagonal form. We develop efficient numerical methods ... computing this tridiagonal form based on Gaussian elimination, using a skewsymmetric, blocked form ... that are applicable to dense and banded matrices, respectively. We also give a complete...

Pfaffian
 Referenced in 6 articles
[sw10808]
 Pfaffian of general skewsymmetric matrices. The evaluation of Pfaffians arises in a number ... evaluation of Pfaffians. The first one is tridiagonalization based on Householder transformations. The main advantage ... decomposition (under congruence) of arbitrary skewsymmetric matrices that is well suited both...

NanoNET
 Referenced in 2 articles
[sw35709]
 efficient construction of tightbinding Hamiltonian matrices from a list of atomic coordinates ... center integrals in dense, sparse, or blocktridiagonal forms. The framework implements a method based...

MuPAT
 Referenced in 1 article
[sw29767]
 MuPAT. We applied three different precisions to tridiagonalization by the Lanczos method and confirmed that ... accurate eigenvalues of real symmetric matrices...

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

AXIOM
 Referenced in 173 articles
[sw00063]
 Axiom is a general purpose Computer Algebra system...

BoomerAMG
 Referenced in 195 articles
[sw00086]
 BoomerAMG: A parallel algebraic multigrid solver and preconditioner...

CSDP
 Referenced in 202 articles
[sw00169]
 CSDP, A C Library for Semidefinite Programming. This...