In this paper, we firstly present a block robust structured multifrontal factorization method (in brief, BRSMF) using block diagonalonal structure of three temperature matrices, and then we propose a multi-core parallelization of BRSMF (in brief, MBRSMF) method based on the current mainstream parallel computer multi-core architecture. MBRSMF method parallelizes the nested dissection ordering, symbolic decomposition and numerical decomposition of BRSMF method, which aims to effectively solve three temperature linear systems on the multi-core computer. The multi-core parallelization of symbolic decomposition and numerical decomposition is based on the binary elimination tree. Theoretical analysis proves MBRSMF method has better load balancing capability. Numerical experiments show that the MBRSMF method is effective.

在本文中，我们首先提出了一种使用三个温度矩阵的块对角线结构的块鲁棒结构化多前沿分解方法（简称 BRSMF），然后我们提出了一种多核并行化的 BRSMF（简称 MBRSMF）方法。目前主流的并行计算机多核架构。MBRSMF方法将BRSMF方法的嵌套解剖排序、符号分解和数值分解并行化，旨在在多核计算机上有效求解三个温度线性系统。符号分解和数值分解的多核并行化基于二元消元树。理论分析证明MBRSMF方法具有较好的负载均衡能力。数值实验表明MBRSMF方法是有效的。