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. 2020 Nov 6:125:125032.
doi: 10.6028/jres.125.032. eCollection 2020.

Parallel Generalized Real Symmetric-Definite Eigenvalue Problem

James S Sims  1 , María Bélen Ruiz  2
Affiliations

Parallel Generalized Real Symmetric-Definite Eigenvalue Problem

James S Sims et al. J Res Natl Inst Stand Technol. .

Abstract

A computationally fast Fortran 90+ quadruple precision portable parallel GRSDEP (generalized real symmetric-definite eigenvalue problem) package suitable for large (80,000 x 80,000 or greater) dense matrices is discussed in this paper.

Keywords: dense matrix eigensolver; high precision; parallel.

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References

    1. King FW (1999) High-precision calculations for the ground and excited states of the lithium atom. Advances In Atomic, Molecular, and Optical Physics 40:57-112.
    1. Shull H, Löwdin PO (1958) Variational Theorem for Excited States. Physical Review 110(6):1467.
    1. Nesbet RK (1965) Algorithms for Diagonalization of Large Matrices. Journal of Chemical Physics 43:311-312.
    1. Davidson ER (1975) The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. Journal of Computational Physics 17:87-94.
    1. Shavitt I, Bender CF, Pipano A, Hosteny RP (1973) The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. Journal of Computational Physics 11:90-108.

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