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math.NA2026
DBDSVDMR3: An MRRR-Based Bidiagonal SVD Solver Built from DSTEGR
James Demmel, Inderjit Dhillon, Sai Surya Duvvuri +3
The optimal algorithm for the symmetric tridiagonal eigenvalue problem is Multiple Relatively Robust Representations (MRRR or MR), which is capable of computing eigenvalue/…
math.NA2026
Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation
Emmanuel Agullo, Hartwig Anzt, Daniel Bauer +37
Reduced and mixed precision have moved from a niche optimization to a central design axis in scientific computing and engineering, driven by energy constraints, heterogeneous accel…
math.NA2026
How to grade the accuracy of the BLAS
James Demmel, Greg Henry, Igor Kozachenko +4
Motivated by accelerating machine learning (ML), many computer vendors and chip manufacturers are building accelerators for matrix multiplication, which save time and energy by ope…