English

A Reexamination of the Communication Bandwidth Cost Analysis of A Parallel Recursive Algorithm for Solving Triangular Systems of Linear Equations

Distributed, Parallel, and Cluster Computing 2024-07-02 v1 Data Structures and Algorithms Numerical Analysis Numerical Analysis

Abstract

This paper presents a reexamination of the research paper titled "Communication-Avoiding Parallel Algorithms for \proc{TRSM}" by Wicky et al. We focus on the communication bandwidth cost analysis presented in the original work and identify potential issues that require clarification or revision. The problem at hand is the need to address inconsistencies and miscalculations found in the analysis, particularly in the categorization of costs into three scenarios based on the relationship between matrix dimensions and processor count. Our findings contribute to the ongoing discourse in the field and pave the way for further improvements in this area of research.

Keywords

Cite

@article{arxiv.2407.00871,
  title  = {A Reexamination of the Communication Bandwidth Cost Analysis of A Parallel Recursive Algorithm for Solving Triangular Systems of Linear Equations},
  author = {Yuan Tang},
  journal= {arXiv preprint arXiv:2407.00871},
  year   = {2024}
}

Comments

2 pages, comment on arXiv:1612.01855

R2 v1 2026-06-28T17:24:18.294Z