3 papers
cs.MS2026
Performant Tridiagonal Factorization of Skew-Symmetric Matrices
Ishna Satyarth, Chao Yin, Devin A. Matthews +3
The factorization of skew-symmetric matrices is a critically understudied area of dense linear algebra, particularly in comparison to that of general and symmetric matrices. While…
cs.DC2025
Guaranteed DGEMM Accuracy While Using Reduced Precision Tensor Cores Through Extensions of the Ozaki Scheme
Angelika Schwarz, Anton Anders, Cole Brower +8
The rapid growth of artificial intelligence (AI) has made low-precision formats such as FP16, FP8, and, most recently, block-scaled FP4 the primary focus of modern GPUs, where Tens…
cs.MS2025
Deriving Algorithms for Triangular Tridiagonalization a Skew-Symmetric Matrix
Robert van de Geijn, Maggie Myers, RuQing G. Xu +1
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 t…