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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 least-squares problems. LINPACK uses...
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EISPACK
- Referenced in 488 articles
[sw04208]
- matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal...
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NAPACK
- Referenced in 71 articles
[sw11666]
- general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. (netlib napack...
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SBR Toolbox
- Referenced in 21 articles
[sw10146]
- reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation...
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XMR
- Referenced in 3 articles
[sw07169]
- computing selected eigenpairs of symmetric tridiagonal matrices, thus disentangling the principles driving...
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MR3-SMP
- 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...
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SHALL 4
- Referenced in 3 articles
[sw00007]
- either block-tridiagonal or cyclic block-tridiagonal coefficient matrices. Moreover this compact fourth-order scheme...
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PHDC
- Referenced in 1 article
[sw18388]
- algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable...
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C++QED
- Referenced in 1 article
[sw41448]
- special operator structures, i.e., sparse and tridiagonal matrices. The use of adaptive-stepsize methods...
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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...
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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...
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Algorithm 923
- Referenced in 6 articles
[sw20231]
- Pfaffian for dense and banded skew-symmetric matrices. Computing the Pfaffian of a skew-symmetric ... matrix has been reduced to skew-symmetric tridiagonal form. We develop efficient numerical methods ... computing this tridiagonal form based on Gaussian elimination, using a skew-symmetric, blocked form ... that are applicable to dense and banded matrices, respectively. We also give a complete...
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Pfaffian
- Referenced in 6 articles
[sw10808]
- Pfaffian of general skew-symmetric 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 skew-symmetric matrices that is well suited both...
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NanoNET
- Referenced in 2 articles
[sw35709]
- efficient construction of tight-binding Hamiltonian matrices from a list of atomic coordinates ... center integrals in dense, sparse, or block-tridiagonal forms. The framework implements a method based...
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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...
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ATLAS
- Referenced in 199 articles
[sw00056]
- This paper describes the Automatically Tuned Linear Algebra...
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AXIOM
- Referenced in 173 articles
[sw00063]
- Axiom is a general purpose Computer Algebra system...
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BoomerAMG
- Referenced in 195 articles
[sw00086]
- BoomerAMG: A parallel algebraic multigrid solver and preconditioner...
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CSDP
- Referenced in 202 articles
[sw00169]
- CSDP, A C Library for Semidefinite Programming. This...
