Structure-Preserving Doubling Algorithms For Nonlinear Matrix Equations

Wen-Wei Lin, Tsung Ming Huang, Ren Cang Li

Research output: Book/ReportBookpeer-review


Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot.
Original languageEnglish
PublisherSociety for Industrial and Applied Mathematics Publications
Number of pages144
ISBN (Electronic)9781611975369
ISBN (Print)9781611975352
StatePublished - Nov 2018


  • entruwise accuracy
  • doubling algorithm
  • eigenvalue problem
  • algebraic Riccati equation
  • nonlinear matrix equation


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