3 papers
math.NA2026
Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic
Ahmad Abdelfattah, Jack Dongarra, Massimiliano Fasi +2
Ootomo, Ozaki, and Yokota [Int. J. High Perform. Comput. Appl., 38 (2024), p. 297-313] have proposed a strategy to recast a floating-point matrix multiplication in terms of integer…
math.NA2026
Computing accurate singular values using a mixed-precision one-sided Jacobi algorithm
Zhengbo Zhou, Françoise Tisseur, Marcus Webb
We present a relative forward error analysis of a mixed-precision preconditioned one-sided Jacobi algorithm, analogous to a two-sided version introduced in [N. J. Higham, F. Tisseu…
math.NA2026
Fast Algorithms for Optimal Damping in Mechanical Systems
Qingna Li, Françoise Tisseur
Optimal damping aims at determining a vector of damping coefficients that maximizes the decay rate of a mechanical system's response. This problem can be formulated as the min…