Optimal solvers for linear systems with fractional powers of sparse SPD matrices Academic Article uri icon

abstract

  • Copyright 2018 John Wiley & Sons, Ltd. In this paper, we consider efficient algorithms for solving the algebraic equation Au=f, 0<<1, where A is a properly scaled symmetric and positive definite matrix obtained from finite difference or finite element approximations of second-order elliptic problems in , d=1,2,3. This solution is then written as u=A- with F=A-f with positive integer. The approximate solution method we propose and study is based on the best uniform rational approximation of the function t for 0

published proceedings

  • NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

author list (cited authors)

  • Harizanov, S., Lazarov, R., Margenov, S., Marinov, P., & Vutov, Y.

citation count

  • 54

publication date

  • October 2018

publisher