Mixed Precision Bisection

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Abstract

We discuss the implementation of the bisection algorithm for the computation of the eigenvalues of symmetric tridiagonal matrices in a context of mixed precision arithmetic. This approach is motivated by the emergence of processors which carry out floating-point operations much faster in single precision than they do in double precision. Perturbation theory results are used to decide when to switch from single to double precision. Numerical examples are presented.

Keywords

Eigenvalues Bisection algorithm Mixed precision 

Mathematics Subject Classification

65F15 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Center of Mathematics, School of SciencesUniversity of MinhoBragaPortugal

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