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arXiv · 2311.10700

Deriving Algorithms for Triangular Tridiagonalization a Skew-Symmetric Matrix

Robert van de Geijn·Maggie Myers·RuQing G. Xu·Devin Matthews
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Abstract

This paper provides technical details regarding the application of the FLAME methodology to derive algorithms hand in hand with their proofs of correctness for the computation of the $ L T L^T $ decomposition (with and without pivoting) of a skew-symmetric matrix. The approach yields known as well as new algorithms, presented using the FLAME notation, enabling comparing and contrasting. A number of BLAS-like primitives are exposed at the core of the resulting unblocked and blocked algorithms.

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Robert van de Geijn, Maggie Myers, RuQing G. Xu, Devin Matthews. 2025-04-10. Deriving Algorithms for Triangular Tridiagonalization a Skew-Symmetric Matrix. https://arxiv.org/abs/2311.10700

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