Newtonian Program Analysis via Tensor Product

Abstract

Recently, Esparza et al. generalized Newton’s method—a numerical-analysis algorithm for finding roots of real-valued functions—to a method for finding fixed-points of systems of equations over semirings. Their method provides a new way to solve interprocedural dataflow-analysis problems. As in its real-valued counterpart, each iteration of their method solves a simpler “linearized” problem.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 21, 2017
Source ID
10.1145/3024084

Entities

People

  • Emma Turetsky
  • Prathmesh Prabhu
  • Thomas Reps

Organizations

  • Air Force Research Laboratory
  • Australian RL Commission
  • Defense Advanced Research Projects Agency
  • National Science Foundation
  • Office of Naval Research
  • University of Wisconsin–Madison
  • Wisconsin Alumni Research Foundation

Tags

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Parallel and Distributed Computing.