Structure–Preserving Doubling Algorithms for Nonlinear Matrix Equations Huang Li

Structure-Preserving Doubling Algorithms for Nonlinear Matrix EquationsAuthor(s): Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin\nFormat: Paperback\nPublisher: Society for Industrial & Applied Mathematics,U.S., United States\nImprint: Society for Industrial & Applied Mathematics,U.S.\nISBN-13: 9781611975352, 978-1611975352\nSynopsis\nNonlinear 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.\n\nStructure-Pres.