Stationary splitting iterative methods for the matrix equation AXB=C

Zhongyun Liu, Zhen Li, Carla Ferreira and Yulin Zhang

Applied Mathematics and Computation, 2020, vol. 378, issue C

Abstract: Stationary splitting iterative methods for solving AXB=C are considered in this paper. The main tool to derive our new method is the induced splitting of a given nonsingular matrix A=M−N by a matrix H such that (I−H)−1 exists. Convergence properties of the proposed method are discussed and numerical experiments are presented to illustrate its computational efficiency and the effectiveness of some preconditioned variants. In particular, for certain surface fitting applications our method is much more efficient than the progressive iterative approximation (PIA), a conventional iterative method often used in computer aided geometric design (CAGD).

Keywords: Hermitian positive definite; H-matrices; Stationary splitting iteration; Induced splitting; Curves fitting (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301648

DOI: 10.1016/j.amc.2020.125195

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