A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations 论文

2006SIAM Journal on Matrix Analysis and Applications引用 248
Matrix Theory and AlgorithmsElectromagnetic Scattering and AnalysisNumerical Methods and Algorithms

摘要

We consider an algebraic representation that is useful for matrices with off‐diagonal blocks of low numerical rank. A fast and stable solver for linear systems of equations in which the coefficient matrix has this representation is presented. We also present a fast algorithm to construct the hierarchically semiseparable representation in the general case.