Stationary splitting iterative methods for the matrix equation AXB=C

作者：

Highlights：

• We introduced an algorithm to solve the matrix equation AXB = C, based on a p-degree induced splitting of A and on a q-degree induced splitting of B.

• We discussed possible choices for the positive integers p and q, so that not only the conditions for convergence are satisfied but also the convergence is fast.

• We used our algorithm to solve tensor product surface-fitting problems with the cubic B-spline basis.

摘要

•We introduced an algorithm to solve the matrix equation AXB = C, based on a p-degree induced splitting of A and on a q-degree induced splitting of B.•We discussed possible choices for the positive integers p and q, so that not only the conditions for convergence are satisfied but also the convergence is fast.•We used our algorithm to solve tensor product surface-fitting problems with the cubic B-spline basis.

论文关键词：Hermitian positive definite,H-matrices,Stationary splitting iteration,Induced splitting,Curves fitting

论文评审过程：Received 20 August 2019, Revised 17 February 2020, Accepted 28 February 2020, Available online 20 March 2020, Version of Record 20 March 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125195