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