Stabilized bordered block diagonal forms for parallel sparse solvers
Mar 1, 2005 · One possible approach to the solution of large sparse linear systems is to reorder the system matrix to bordered block diagonal form and then to solve the block system in parallel. We …
PALBBD: A Parallel ArcLength Method Using Bordered Block Diagonal …
PDF | On Jun 22, 2021, Zhou Jin and others published PALBBD: A Parallel ArcLength Method Using Bordered Block Diagonal Form for DC Analysis | Find, read and cite all the research you need on ...
AN IMPROVED BORDERED BLOCK DIAGNAL METHOD FOR SOLVING …
The Bordered Block Diagonal (BBD) method is a classical approach for solving the largescale sparse linear equation systems generated in transient analysis of circuits simulations. In this paper, a new …
Parallel cyclic reduction of padded bordered almost block diagonal ...
Apr 1, 2025 · The algorithm performance is assessed through numerical experiments with different matrix sizes and threads. The computation times and speedups obtained with the parallel …
求解电路方程组的改进分块对角加边方法
摘要: 针对电路仿真中瞬态分析底层产生的超大规模稀疏线性方程组的求解，分块对角加边 (Bordered Block Diagonal, BBD)方法是一类经典的方法。本文提出了一种改进的BBD方法，通过在边界分解时引 …
In this paper a stabilized bordered block diagonal form (SBBDF) is presented to improve the N-R method for nonlinear magnetic problems. This SBBDF N-R method is based on the graph partitioning …
Singly-Bordered Block-Diagonal Form for Minimal Problem Solvers
Jan 1, 2015 · We show that the elimination template matrices used in these solvers are usually quite sparse and that by permuting the rows and columns they can be transformed into matrices with nice …
A Parallel Acceleration Technique based on Bordered Block Diagonal ...
May 10, 2024 · A parallel Bordered Block Diagonal (BBD) matrix reordering algorithm and a parallelization based on OpenMP and MPI to accelerate triangular solutions involved in the rational …
Block matrix - Wikipedia
A block diagonal matrix is a block matrix that is a square matrix such that the main-diagonal blocks are square matrices and all off-diagonal blocks are zero matrices. [16]
Doubly bordered block-diagonal matrix - ResearchGate
Download scientific diagram | Doubly bordered block-diagonal matrix from publication: Parallelization Approaches for the Time-efficient Simulation of Hybrid Dynamical Systems: Application to ...