Factorized Smith Method for A Class of High-Ranked Large-Scale T-Stein Equations

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外文摘要：We introduce a factorized Smith method(FSM)for solving large-scale high-ranked T-Stein equations within the banded-plus-low-rank structure framework.To effectively reduce both computational complexity and storage requirements,we develop techniques including deflation and shift,partial truncation and compression,as well as redesign the residual computation and termination condition.Numerical examples demonstrate that the FSM outperforms the Smith method implemented with a hierarchical HODLR structured toolkit in terms of CPU time.

外文关键词：

Large-scale T-Stein equationsHigh-rankedDeflation and shiftPartially truncation and compressionSmith method

作者：

LI Xiang、YU Bo、TANG Qiong

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作者单位：

School of Science,Hunan University of Technology,Zhuzhou 412007,China

基金：

NSF of ChinaNSF of Hunan ProvinceNSF of Hunan ProvinceNSF of Hunan ProvinceDegree & Postgraduate Reform Project of Hunan University of Technology and Hunan ProvinceDegree & Postgraduate Reform Project of Hunan University of Technology and Hunan Province

项目编号：

118011632021JJ500322023JJ501642023JJ50165JGYB230092024JGYB210

出版年：

2024

DOI：

10.13371/j.cnki.chin.q.j.m.2024.03.002

数学季刊(英文版)

河南大学

数学季刊(英文版)

影响因子：0.201

ISSN：1002-0462

年,卷(期)：2024.39(3)