A discussion on calculating eigenvalues of real symmetric tridiagonal matrices on a GPU

Kohei Matsunobu, Keisuke Dohi, Yuichiro Shibata, Kiyoshi Oguri · ACM SIGARCH Computer Architecture News · 2011

While GPUs are attracting attention as an accelerator in wide-ranged application areas, compatibility between the architecture and selected algorithm is important to effectively bring out their potential performance. This paper focuses on eigenvalue calculation from a given real symmetric tridiagonal matrix and compares GPU implementations for the QR method and the bisection method. Implementation for a total of four different GPU architectures are shown and compared to reveal the affinity between algorithms and architectures.

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